CN100394417C - A rule scheduling method with state performance feedback and its scheduling system - Google Patents

A rule scheduling method with state performance feedback and its scheduling system Download PDF

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CN100394417C
CN100394417C CNB2003101112010A CN200310111201A CN100394417C CN 100394417 C CN100394417 C CN 100394417C CN B2003101112010 A CNB2003101112010 A CN B2003101112010A CN 200310111201 A CN200310111201 A CN 200310111201A CN 100394417 C CN100394417 C CN 100394417C
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孙容磊
熊有伦
丁汉
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Huazhong University of Science and Technology
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Abstract

一种带状态性能反馈的规则调度方法及其调度系统,可减少工件延误时间并提高设备利用率。在现有规则调度的基础上,引入设备需求量、设备需求趋势和工件平均松弛时间作为系统运行状态反馈,引入设备加工时间、工件加工时间、工件等待时间和工件提前/拖期时间作为系统运行性能反馈,形成反馈调度规则。引入调度目标函数并提出迭代优化调度方法。定义了扩展工艺顺序规划树并用于表示工件的工艺顺序规划柔性和工件的加工路径柔性,扩大了调度系统的决策空间,有利于形成更好的调度方案。调度系统由中央控制器、装卸站、系统缓冲站、自动轨道小车和生产设备等组成。每一决策时刻,中央控制器根据反馈调度规则计算空闲设备和待加工工件的优先级,选择优先级高的空闲设备加工优先级高的待加工工件。

Figure 200310111201

A rule scheduling method with state performance feedback and its scheduling system can reduce workpiece delay time and improve equipment utilization. On the basis of the existing rule scheduling, introduce equipment demand, equipment demand trend, and workpiece average slack time as system operation status feedback, and introduce equipment processing time, workpiece processing time, workpiece waiting time, and workpiece advance/delay time as system operation Performance feedback to form a feedback scheduling rule. The scheduling objective function is introduced and an iterative optimal scheduling method is proposed. The extended process sequence planning tree is defined and used to represent the process sequence planning flexibility of the workpiece and the processing path flexibility of the workpiece, which expands the decision space of the scheduling system and is conducive to forming a better scheduling scheme. The dispatching system is composed of central controller, loading and unloading station, system buffer station, automatic track trolley and production equipment. At each decision-making moment, the central controller calculates the priority of idle equipment and workpieces to be processed according to the feedback scheduling rules, and selects idle equipment with high priority to process workpieces with high priority.

Figure 200310111201

Description

一种带状态性能反馈的规则调度方法及其调度系统 A rule scheduling method with state performance feedback and its scheduling system

技术领域 technical field

本发明属于生产调度与管理技术领域,具体涉及一种带状态性能反馈的规则调度方法及其调度系统。The invention belongs to the technical field of production scheduling and management, and in particular relates to a rule scheduling method with state performance feedback and a scheduling system thereof.

背景技术 Background technique

根据最优生产技术,瓶颈设备的生产能力决定了整个系统的生产能力,并决定系统的运行性能。一个已投产的生产系统,其设备加工能力是固定不变的,只能通过适当的调度系统和调度方法,改变生产系统中物流,调节工件对设备生产能力的需求,以减轻或消除系统瓶颈设备效应,提高整个系统的运行性能。According to the optimal production technology, the production capacity of the bottleneck equipment determines the production capacity of the whole system and determines the operating performance of the system. For a production system that has been put into production, the processing capacity of its equipment is fixed. Only by using an appropriate scheduling system and scheduling method can the logistics in the production system be changed and the demand of the workpiece on the production capacity of the equipment be adjusted to reduce or eliminate the bottleneck of the system. effect to improve the performance of the entire system.

生产调度问题的规模随生产设备数、工件品种和工件数、工艺规划数的增加而增大,调度问题的计算复杂性随调度问题规模的增大呈指数上升。因此,对于大规模的、物流情况复杂的生产系统,一般采用基于规则的调度方法完成对生产系统的实时调度与控制。The scale of the production scheduling problem increases with the increase of the number of production equipment, the variety of workpieces, the number of workpieces, and the number of process planning, and the computational complexity of the scheduling problem increases exponentially with the increase of the scale of the scheduling problem. Therefore, for large-scale production systems with complex logistics conditions, the rule-based scheduling method is generally used to complete real-time scheduling and control of the production system.

调度规则是一种排序方法,用于确定生产系统中生产设备和待加工工件的竞争优先级。每当设备空闲、或新的毛坯进入系统、或工件的一道工序加工完毕,则进入一个决策时刻,此时,调度系统根据调度规则确定哪一个工件的哪一道工序分配给哪一台设备加工,从而对生产过程实施调度和控制,这种调度方法称为基于规则的调度,简称规则调度。在调度规则的控制下,分配给生产系统中每台设备加工的工序队列以及加工每道工序的开始和结束时刻,称为规则调度的解。Scheduling rules are a sorting method used to determine the competing priorities of production equipment and workpieces to be processed in a production system. Whenever the equipment is idle, or a new blank enters the system, or a process of the workpiece is processed, it enters a decision-making moment. At this time, the scheduling system determines which process of which workpiece is allocated to which equipment according to the scheduling rules. In order to implement scheduling and control on the production process, this scheduling method is called rule-based scheduling, or rule scheduling for short. Under the control of scheduling rules, the process queue assigned to each equipment in the production system and the start and end time of each process are called the solution of rule scheduling.

在某一决策时刻,如果系统中有多台加工设备可以完成同一个待加工工件的加工,则首先选择优先级最高的生产设备完成此加工任务。同样,在某一决策时刻,如果系统中有多个工件等待加工,则首先选择优先级最高的待加工工件进行加工。通过调度规则,可以实现对生产系统中的生产设备和待加工工件进行优先级排序。不同的调度规则,可以产生不同的排序结果,因而可以改变生产系统中工件的流动过程,达到控制生产系统运行过程和运行性能的目的。At a certain decision-making moment, if there are multiple processing equipment in the system that can complete the processing of the same workpiece to be processed, the production equipment with the highest priority is first selected to complete the processing task. Similarly, at a certain decision-making moment, if there are multiple workpieces waiting to be processed in the system, the workpiece with the highest priority is first selected for processing. Through scheduling rules, it is possible to prioritize the production equipment and workpieces to be processed in the production system. Different scheduling rules can produce different sorting results, which can change the flow process of workpieces in the production system and achieve the purpose of controlling the operation process and performance of the production system.

一般而言,规则调度具有简单易行的优点,且具有动态调度能力,特别适合生产过程中随机干扰因素较多的复杂的生产系统的调度。参见:A.Baker,A survey of factory control algorithms that can be implementedin a multi-agent heterarchy:dispatching,scheduling,and pull,J.of Manufacturing Systems,1998,17(4):297-320。Generally speaking, regular scheduling has the advantage of being simple and easy to implement, and has dynamic scheduling capabilities, which is especially suitable for the scheduling of complex production systems with many random interference factors in the production process. See: A. Baker, A survey of factory control algorithms that can be implemented in a multi-agent heterarchy: dispatching, scheduling, and pull, J. of Manufacturing Systems, 1998, 17(4): 297-320.

规则调度的缺点在于其不能保证最优解,在很多情况下甚至不能保证满意解,主要原因在于:规则调度缺乏调度目标函数以及针对目标函数的优化控制手段。调度规则一旦确定,生产设备和待加工工件的排序方法随之确定,因此,基于规则的调度不能根据系统运行状态和运行性能实时调整生产设备和待加工工件的排序方法,不能根据系统实际运行情况优化生产过程,特别是不能针对当前调度目标函数优化生产过程。另一方面,现有规则调度没有充分利用工件的工艺顺序规划柔性和工件的加工路径柔性,因而决策空间小,可供选择的调度方案少,不利于形成更好的调度方案。The disadvantage of regular scheduling is that it cannot guarantee the optimal solution, or even a satisfactory solution in many cases. The main reason is that regular scheduling lacks scheduling objective functions and optimization control methods for objective functions. Once the scheduling rules are determined, the sorting method of production equipment and workpieces to be processed will be determined accordingly. Therefore, rule-based scheduling cannot adjust the sorting method of production equipment and workpieces to be processed in real time according to the system's operating status and performance, and cannot be based on the actual operating conditions of the system. Optimizing the production process, especially the production process cannot be optimized for the current scheduling objective function. On the other hand, the existing rule scheduling does not make full use of the flexibility of the process sequence planning of the workpiece and the flexibility of the processing path of the workpiece, so the decision-making space is small, and there are few alternative scheduling schemes, which is not conducive to forming a better scheduling scheme.

发明内容 Contents of the invention

本发明的目的在于提供一种能克服上述缺陷的带状态性能反馈的规则调度方法,该方法可以根据系统运行状态和运行性能实时调整生产设备和待加工工件的排序方法,可以根据系统实际运行情况优化生产过程,特别是针对当前调度目标函数优化生产过程;本发明还可以使得在调度过程中可以充分利用工件的工艺顺序规划柔性和工件的加工路径柔性,形成更好的调度方案;本发明还提供了实现该方法的调度系统。The purpose of the present invention is to provide a rule scheduling method with state performance feedback that can overcome the above-mentioned defects. This method can adjust the production equipment and the sorting method of the workpieces to be processed in real time according to the system operating status and operating performance, and can adjust according to the actual operating conditions of the system. Optimizing the production process, especially optimizing the production process for the current scheduling objective function; the present invention can also make full use of the flexibility of the process sequence planning of the workpiece and the flexibility of the processing path of the workpiece in the scheduling process to form a better scheduling scheme; the present invention also A scheduling system implementing the method is provided.

本发明提供的一种带状态性能反馈的规则调度方法,依次包括如下步骤:A rule scheduling method with state performance feedback provided by the present invention comprises the following steps in turn:

(1)根据生产任务制定调度目标函数Obj;(1) Formulate the scheduling objective function Obj according to the production task;

(2)分别为生产设备k和工件i指定调度规则rM,k、rJ,i,k=1,2,......,k,i=1,2,......,N;(2) Specify scheduling rules r M, k , r J, i for production equipment k and workpiece i respectively, k=1, 2,..., k, i=1, 2,... ., N;

(3)构造迭代反馈调度规则rcM,k、rcJ,i(3) Construct iterative feedback scheduling rules r cM,k , r cJ,i :

rcM,k=rM,k+pk1Rk+pk2Dk+qkTk r cM, k = r M, k +p k1 R k +p k2 D k +q k T k

rcJ,i=rJ,i+pits,i+qi1tp,i/tw,i-qi2td,i r cJ, i = r J, i + p i t s, i + q i1 t p, i /t w, i -q i2 t d, i

其中pk1、pk2为设备k的状态反馈系数,qk为设备k的性能反馈系数,pi为工件i的状态反馈系数,qi1、qi2为工件i的性能反馈系数;Rk为设备k的需求量,Dk为设备k的需求趋势,Tk为设备k的加工时间;ts,i为工件i的平均松驰时间,tp,i为工件i的加工时间,tw,i为工件i的等待时间,td,i为工件i的延误时间;其中,Among them, p k1 and p k2 are the state feedback coefficients of equipment k, q k is the performance feedback coefficient of equipment k, p i is the state feedback coefficient of workpiece i, q i1 and q i2 are the performance feedback coefficients of workpiece i; R k is The demand of equipment k, D k is the demand trend of equipment k, T k is the processing time of equipment k; t s, i is the average relaxation time of workpiece i, t p, i is the processing time of workpiece i, t w , i is the waiting time of job i, t d, i is the delay time of job i; where,

设备需求量Rk(t)由下式计算:Equipment demand R k (t) is calculated by the following formula:

Rk(t)=|{Ji(t)}|,式中,Ji(t)表示在t时刻可以在生产设备上加工的工件,{}表示集合,||表示集合的基;R k (t)=|{J i (t)}|, where J i (t) represents the workpieces that can be processed on the production equipment at time t, {} represents the set, and || represents the basis of the set;

设备需求趋势Dk(t)为:The equipment demand trend D k (t) is:

D k ( t ) = d dt F k ( t ) , 式中,Fk(t)为根据Rk(t)拟合生成的连续可导函数; D. k ( t ) = d dt f k ( t ) , In the formula, F k (t) is a continuous derivable function generated by fitting according to R k (t);

工件i的平均松弛时间ts,i为:The average relaxation time t s of workpiece i, i is:

t s , i = d i - t - t r , i n r , i , 式中,t为当前时刻,di为工件i的计划交货时间,tr, i为工件i的未加工工序所需总加工时间的期望值,nr,i为工件i的未加工工序数; t the s , i = d i - t - t r , i no r , i , In the formula, t is the current moment, d i is the planned delivery time of workpiece i, t r, i is the expected value of the total processing time required for the unprocessed process of workpiece i, n r, i is the number of unprocessed processes of workpiece i ;

(4)设置迭代控制参数和迭代初值:(4) Set iteration control parameters and iteration initial value:

令当前迭代次数j=1,令最大迭代次数为NmaxLet the current number of iterations j=1, let the maximum number of iterations be N max ;

令Sopt为空,且令Obj(Sopt)为一充分大的数;Let S opt be empty, and let Obj(S opt ) be a sufficiently large number;

令T(0) k=0,t(0) p,i=t(0) w,i=t(0) d,i=0;Let T (0) k = 0, t (0) p, i = t (0) w, i = t (0) d, i = 0;

(5)将所有设备设置为空闲状态,所有工件设置为初始状态;(5) All equipment is set to idle state, and all workpieces are set to initial state;

(6)按照下述步骤给空闲设备分配待加工工件:(6) Assign workpieces to be processed to idle equipment according to the following steps:

(6.1)如果没有空闲设备或没有待加工工件,转步骤(7);(6.1) If there is no idle equipment or no workpiece to be processed, go to step (7);

(6.2)利用下述公式计算所有空闲设备的优先级;(6.2) Utilize the following formula to calculate the priority of all idle devices;

r(j) cM,k=rM,k+pk1R(j) k+pk2D(j) k+qkT(j-1) k r (j) cM, k = r M, k +p k1 R (j) k +p k2 D (j) k +q k T (j-1) k

(6.3)按优先级从高到低的顺序对每台空闲设备完成:(6.3) Complete each idle device in order of priority from high to low:

(6.3.1)确定可在其上加工的待加工工件集合L,如果L为空集,则取优先级次之的设备空闲设备,重复本步骤;(6.3.1) Determine the set L of workpieces to be processed that can be processed on it, if L is an empty set, then take the equipment with the second priority as the idle equipment, and repeat this step;

(6.3.2)根据下式计算L中待加工工件的优先级:(6.3.2) Calculate the priority of workpieces to be processed in L according to the following formula:

r(j) cJ,i=rJ,i+pit(j) s,i+qi1t(j-1) p,i/t(j-1) w,i-qi2t(j-1) d,i r (j) cJ, i = r J, i + p i t (j) s, i + q i1 t (j-1) p, i /t (j-1) w, i -q i2 t (j -1) d,i

(6.3.3)取优先级最高的工件给该空闲设备加工;(6.3.3) Take the workpiece with the highest priority and process it for the idle device;

(6.3.4)判断是否还有空闲设备,如果有,进入步骤(6.3.1),否则,进入步骤(7);(6.3.4) judge whether there is also idle equipment, if so, enter step (6.3.1), otherwise, enter step (7);

(7)如果所有工件加工完毕,转步骤(8);否则,前进一单位时间,转步骤(6);(7) If all workpieces are processed, turn to step (8); otherwise, advance one unit of time, turn to step (6);

(8)本次迭代结束,计算本次迭代系统运行性能,计算调度目标函数值Obj(S(j)),j为当前迭代次数。如果Obj(S(j))<Obj(Sopt),则Sopt=S(j)(8) At the end of this iteration, calculate the operating performance of this iteration system, and calculate the scheduling objective function value Obj(S (j) ), where j is the current iteration number. If Obj(S (j) )<Obj(S opt ), then S opt =S (j) ;

(9)令j=j+1,如果j≤Nmax,转入步骤(5),否则进入步骤(10);(9) Make j=j+1, if j≤N max , go to step (5), otherwise go to step (10);

(10)停止迭代,输出最优调度结果,该结果可以直接用于相同生产任务的调度。(10) Stop the iteration and output the optimal scheduling result, which can be directly used for the scheduling of the same production task.

实现上述方法的调度系统,包括中央控制器、装卸站、系统缓冲站、自动轨道小车和加工设备,其特征在于:The scheduling system that realizes the above method includes a central controller, a loading and unloading station, a system buffer station, an automatic rail trolley and processing equipment, and is characterized in that:

所述加工设备均带有设备控制器;The processing equipment is equipped with an equipment controller;

毛坯经装卸站进入系统缓冲站等待加工,成品经装卸站退出系统;The blank enters the system buffer station through the loading and unloading station to wait for processing, and the finished product exits the system through the loading and unloading station;

系统缓冲站用于暂时存放工件,它设有缓冲站控制器;系统缓冲站设有物理工位,每个物理工位上设置一个托盘,托盘上装夹有待加工工件;缓冲站控制器中记录着物理工位相对于系统缓冲站绝对原点的相对位置,同时还记录着物理工位的状态;The system buffer station is used to temporarily store workpieces, and it is equipped with a buffer station controller; the system buffer station is equipped with physical stations, and each physical station is equipped with a pallet, on which workpieces to be processed are clamped; the buffer station controller records the objects The relative position of the engineering station relative to the absolute origin of the system buffer station, and also records the state of the physical station;

自动轨道小车可以在装卸站、系统缓冲站和加工设备之间运动,其上附有托盘自动取/放机构;The automatic track trolley can move between the loading and unloading station, the system buffer station and the processing equipment, and it is equipped with an automatic pallet picking/putting mechanism;

装卸站、系统缓冲站和加工设备上均设有托盘交换工位,每个托盘交换工位处安装有位置指示元件,安装在自动轨道小车上的位置检测元件可以检测到每个托盘交换工位,从而实现自动轨道小车的精确定位;The loading and unloading station, the system buffer station and the processing equipment are equipped with pallet exchange stations, each pallet exchange station is equipped with a position indicating element, and the position detection element installed on the automatic track trolley can detect each pallet exchange station , so as to realize the precise positioning of the automatic track trolley;

中央控制器分别与装卸站显示装置、装卸站输入装置、自动轨道小车、系统缓冲站控制器和生产设备控制器相连,控制各部件工作。The central controller is respectively connected with the display device of the loading and unloading station, the input device of the loading and unloading station, the automatic track trolley, the controller of the system buffer station and the controller of the production equipment to control the work of each component.

本发明涉及的调度方法和系统中,在现有规则调度的基础上,增加了系统运行状态、运行性能反馈,通过反馈机制,实时调整生产设备和待加工工件的排序方法,控制生产系统中的物流,使待加工工件对生产设备的需求量与生产设备的加工能力相匹配,减轻或消除系统瓶颈设备效应,优化生产运行,从而克服了现有规则调度方法存在的问题。同时,本发明还提供了一种实现生产管理者生产目标、优化指定运行性能的技术手段,即根据生产管理者当前最关心的系统性能指标建立调度目标函数,在反馈调度规则的基础上,以迭代优化方式,逐步提高系统在调度目标函数意义下的运行性能。这一点在实际生产调度中具有重要意义,生产管理员可以根据其最关心的性能指标制定当前生产任务的调度目标函数,则本调度方法和调度系统可最大限度地优化相关系统运行性能。In the scheduling method and system involved in the present invention, on the basis of the existing rule scheduling, the feedback of system running status and running performance is added, and the sorting method of production equipment and workpieces to be processed is adjusted in real time through the feedback mechanism to control the production system. Logistics, which matches the demand of production equipment for workpieces to be processed with the processing capacity of production equipment, reduces or eliminates the bottleneck equipment effect of the system, optimizes production operation, and thus overcomes the problems existing in the existing rule scheduling method. At the same time, the present invention also provides a technical means to realize the production target of the production manager and optimize the specified operating performance, that is, to establish a scheduling objective function according to the system performance index that the production manager is most concerned about at present, and to use the feedback scheduling rule on the basis of The iterative optimization method gradually improves the operating performance of the system in the sense of the scheduling objective function. This point is of great significance in actual production scheduling. The production manager can formulate the scheduling objective function of the current production task according to the performance index he cares most about. The scheduling method and scheduling system can maximize the performance of related systems.

本发明提出的调度方法,分别对三个调度目标函数:Obj1(工件延误时间最小),Obj2(设备利用率最大)和Obj3(工件延误时间最小且设备利用率最大)进行测试,并与现有规则调度方法进行比较,实验结果的统计分析表明:以工件延误时间最小为调度目标时,与现有规则调度方法相比,在0.001显著水平下(t-测试),本方法可以减少工件延误时间96.7%以上,而设备利用率略有提高(<2%)。以设备利用率最大为调度目标函数时,与现有规则调度方法相比,在0.001显著水平下(t-测试),本方法可以提高设备利用率3.2%以上,而工件延误时间仅减少2.2%。以工件延误时间最小且设备利用率最大为调度目标函数时,与现有规则调度方法相比,在0.001显著水平下(t-测试),本方法可以减少工件延误时间93.5%以上,提高设备利用率4%以上。本发明测试结果显示:对于给定调度规则,本调度方法的性能总体上优于现有规则调度方法。The scheduling method proposed by the present invention tests three scheduling objective functions respectively: Obj1 (minimum workpiece delay time), Obj2 (maximum equipment utilization rate) and Obj3 (minimum workpiece delay time and maximum equipment utilization rate), and compares with existing Compared with the regular scheduling method, the statistical analysis of the experimental results shows that: when the scheduling goal is to minimize the delay time of the workpiece, compared with the existing rule scheduling method, at the 0.001 significant level (t-test), this method can reduce the delay time of the workpiece 96.7% or more, while the utilization rate of equipment is slightly improved (<2%). When taking the maximum equipment utilization rate as the scheduling objective function, compared with the existing regular scheduling method, at a significant level of 0.001 (t-test), this method can increase the equipment utilization rate by more than 3.2%, while the workpiece delay time is only reduced by 2.2% . When the scheduling objective function is the minimum workpiece delay time and the maximum equipment utilization rate, compared with the existing regular scheduling method, at a significant level of 0.001 (t-test), this method can reduce the workpiece delay time by more than 93.5%, and improve equipment utilization rate above 4%. The test results of the present invention show that: for a given scheduling rule, the performance of the scheduling method is generally better than that of the existing rule scheduling method.

附图说明 Description of drawings

图1为扩展工艺顺序规划树;Figure 1 is an extended process sequence planning tree;

图2为带状态性能反馈的规则调度原理示意图;Figure 2 is a schematic diagram of the principle of rule scheduling with state performance feedback;

图3为本发明调度方法在决策时刻的决策流程示意图;Fig. 3 is a schematic diagram of the decision-making process at the decision-making moment of the scheduling method of the present invention;

图4为一种生产系统的设备组成和布局模型;Fig. 4 is a kind of equipment composition and layout model of production system;

图5为调度系统的通信连接示意图。Fig. 5 is a schematic diagram of the communication connection of the dispatching system.

具体实施方式 Detailed ways

生产系统中,生产设备M具有一定的加工能力,可以完成一定的加工操作。工件是被加工对象,工件的加工可以分为若干不同的加工操作,每个加工操作,称为工件的一道工序Op。工件加工过程中,一些工序必须在另一些工序之前完成,即对工序的加工顺序有一定要求。工件的一个可行的工序加工顺序称为工件的一个工艺顺序规划。当一个工件存在多于一种可行的工艺顺序规划时,称该工件有多种工艺顺序规划,或该工件具有工艺顺序规划柔性。In the production system, the production equipment M has a certain processing capacity and can complete certain processing operations. The workpiece is the object to be processed, and the processing of the workpiece can be divided into several different processing operations. Each processing operation is called a process Op of the workpiece. In the process of workpiece processing, some processes must be completed before other processes, that is, there are certain requirements for the processing sequence of the processes. A feasible processing sequence of the workpiece is called a process sequence planning of the workpiece. When there is more than one feasible process sequence plan for a workpiece, it is said that the workpiece has multiple process sequence plans, or the workpiece has process sequence planning flexibility.

工件的每道工序,可以在一台或多台生产设备上加工,但在同一时刻,一个工件至多只能在一台设备上加工。工件的一道工序在不同生产设备上加工时,所需加工时间不尽相同。为完成工件的加工,必须根据工件的工艺顺序规划要求,依次加工工件的每道工序,为此,工件必须以一定的顺序访问生产设备并在设备上加工。工件在系统中访问生产设备的顺序,称为工件的加工路径。如果工件的一道工序可以在多台生产设备上完成加工,则工件在生产系统中存在多种加工路径,称为工件的加工路径柔性。Each process of the workpiece can be processed on one or more production equipment, but at the same time, a workpiece can only be processed on one equipment at most. When a process of a workpiece is processed on different production equipment, the required processing time is not the same. In order to complete the processing of the workpiece, each process of the workpiece must be processed in sequence according to the process sequence planning requirements of the workpiece. For this reason, the workpiece must visit the production equipment in a certain order and be processed on the equipment. The order in which workpieces access production equipment in the system is called the processing path of workpieces. If a process of a workpiece can be processed on multiple production equipment, there are multiple processing paths for the workpiece in the production system, which is called the flexibility of the processing path of the workpiece.

此外,由于生产工艺的要求,不同的工件可能具有不同的加工路径,且同一工件可能多次访问同一生产设备。In addition, due to the requirements of the production process, different workpieces may have different processing paths, and the same workpiece may visit the same production equipment multiple times.

从上面的讨论可知,本发明未对生产过程赋予任何附加限制,是最一般的生产过程,因此,本发明提出的调度方法和调度系统具有广泛的适应性,既适合于产品批量小、产品品种多、物流过程复杂的生产系统调度,如柔性制造系统的调度,也适合于大批量生产系统、流水生产系统、单件作业生产系统以及可重入生产系统的调度。From the above discussion, it can be seen that the present invention does not impose any additional restrictions on the production process, and is the most general production process. Therefore, the scheduling method and scheduling system proposed by the present invention have wide adaptability, and are suitable for small batches of products and product varieties. The scheduling of production systems with multiple and complex logistics processes, such as the scheduling of flexible manufacturing systems, is also suitable for the scheduling of mass production systems, flow production systems, single-piece job production systems, and reentrant production systems.

本发明提出的调度方法和调度系统,旨在根据扩展工艺顺序规划树,借助状态、性能反馈,以调度目标函数作为优化指标,合理安排工件工序的加工,提高生产系统运行性能。The dispatching method and dispatching system proposed by the present invention aim at rationally arranging the processing of the workpiece process and improving the operating performance of the production system according to the extended process sequence planning tree, with the aid of status and performance feedback, and with the dispatching objective function as the optimization index.

本发明提出一种扩展工艺顺序规划树(图1)模型并用于表示工件的工艺顺序规划柔性和工件的加工路径柔性,图中,一个结点代表一道工序,用Op表示,{}内元素的数目代表生产系统的设备数,{}内的数字序列表示该工序与生产系统中设备的关系,其中“-1”表示该工序不能在此设备上加工,正数表示该工序可以在此设备上加工且数值的大小表示所需加工时间。例如Op1{10,-1,-1,-1,14,-1,-1,-1,-1,-1},表示生产系统中共有10台设备,工序Op1可以在设备1和设备5上加工,且所需加工时间分别为10、14个单位时间。The present invention proposes an extended process sequence planning tree (Fig. 1) model and is used to represent the flexibility of the process sequence planning of the workpiece and the flexibility of the processing path of the workpiece. In the figure, a node represents a process, represented by Op, and the elements in {} The number represents the number of equipment in the production system, and the sequence of numbers in {} indicates the relationship between the process and the equipment in the production system, where "-1" indicates that the process cannot be processed on this equipment, and a positive number indicates that the process can be processed on this equipment Processing and the magnitude of the value indicates the required processing time. For example, Op1{10, -1, -1, -1, 14, -1, -1, -1, -1, -1} means that there are 10 devices in the production system, and the operation Op1 can be performed on devices 1 and 5 processing, and the required processing time is 10 and 14 unit times respectively.

从根结点到叶子结点的一条路径称为工件的一个工艺顺序规划方案。对于图1所示工件,该工件由4道工序组成,即Op1,Op2,Op3和Op4,工件的加工存在3种可行的工艺顺序规划,即:A path from the root node to the leaf node is called a process sequence planning scheme of the workpiece. For the workpiece shown in Figure 1, the workpiece consists of 4 processes, namely Op1, Op2, Op3 and Op4. There are 3 feasible process sequence plans for the processing of the workpiece, namely:

(1)Op1→Op3→Op4→Op2;(1) Op1→Op3→Op4→Op2;

(2)Op1→Op4→Op3→Op2;(2) Op1→Op4→Op3→Op2;

(3)Op1→Op4→Op2→Op3。(3) Op1→Op4→Op2→Op3.

其中工艺顺序规划(1)表示:Op1加工完后,才能加工Op3;Op3加工完后,才能加工Op4;Op4加工完后,才能加工Op2;余此类推。Among them, the process sequence planning (1) means: after Op1 is processed, Op3 can be processed; after Op3 is processed, Op4 can be processed; after Op4 is processed, Op2 can be processed; and so on.

由于Op1、Op4均可在两台设备上加工,因此,对于任意一个工艺顺序规划,该工件在生产系统中有4种可行的加工路径,例如,对于工艺顺序规划(1),该工件的4种可行加工路径为:Since both Op1 and Op4 can be processed on two devices, for any process sequence planning, the workpiece has 4 feasible processing paths in the production system, for example, for process sequence planning (1), the workpiece’s 4 The feasible processing paths are:

(1)M1→M2→M4→M3(1) M1→M2→M4→M3

(2)M1→M2→M8→M3(2) M1→M2→M8→M3

(3)M5→M2→M4→M3(3) M5→M2→M4→M3

(4)M5→M2→M8→M3(4) M5→M2→M8→M3

采用扩展工艺顺序规划树,可以表示工件的工艺顺序规划柔性和工件的加工路径柔性,使得在规则调度过程中能有效地利用系统、工件的柔性,形成更好的调度方案。The extended process sequence planning tree can represent the process sequence planning flexibility of the workpiece and the processing path flexibility of the workpiece, so that the flexibility of the system and the workpiece can be effectively used in the rule scheduling process to form a better scheduling scheme.

规则调度旨在在每一个决策时刻,为每一台空闲设备安排一道合适工序,例如,对于图1所示工件,当Op1加工完毕后,下一道加工工序可以选择Op3或Op4。Op3可以在设备M2上加工,所需加工时间为30单位时间;而Op4可以在设备M4和M8上加工,所需加工时间分别为24、31单位时间。具体选择哪一道工序以及该工序安排在哪一台设备上加工,则由调度规则决定。本发明中,采用带状态、性能反馈的调度规则决定设备、工件的优先级,选择优先级高的设备加工优先级高的工件,从而完成生产调度。Rule scheduling aims at arranging a suitable process for each idle device at every decision moment. For example, for the workpiece shown in Figure 1, after Op1 is processed, the next processing process can choose Op3 or Op4. Op3 can be processed on equipment M2, and the required processing time is 30 unit times; while Op4 can be processed on equipment M4 and M8, and the required processing time is 24 and 31 unit times respectively. Which process to choose and which equipment to process the process are determined by the scheduling rules. In the present invention, scheduling rules with status and performance feedback are used to determine the priorities of equipment and workpieces, and equipment with high priority is selected to process workpieces with high priority, thereby completing production scheduling.

生产系统运行过程中,刻画系统中设备和工件运行属性的变量称为系统状态变量。对于状态变量,主要关心其在整个调度周期中的变化过程,而不是仅仅关心其在调度结束时刻的值。生产系统运行状态分为设备状态和工件状态。During the operation of the production system, the variables that describe the operating properties of the equipment and workpieces in the system are called system state variables. For the state variable, we mainly care about its changing process in the whole scheduling cycle, not only its value at the end of scheduling. The operating status of the production system is divided into equipment status and workpiece status.

反映待加工工件对各生产设备需求情况的量称为设备状态变量。设备状态变量包括设备需求量和设备需求趋势。The quantity that reflects the demand of each production equipment for the workpiece to be processed is called the equipment state variable. Equipment status variables include equipment demand quantities and equipment demand trends.

t时刻,生产系统中所有待加工工件对生产设备Mk的需求量称为设备k的需求量,记为Rk(t)。设备需求量由下式计算:At time t, the demand of all workpieces to be processed on the production equipment Mk in the production system is called the demand of equipment k, denoted as R k (t). The equipment demand is calculated by the following formula:

Rk(t)=|{Ji(t)}|           (式1a)R k (t)=|{J i (t)}| (Formula 1a)

其中:Ji(t)表示在t时刻可以在生产设备Mk上加工的工件,{}表示集合,||表示集合的基。Among them: J i (t) represents the workpiece that can be processed on the production equipment Mk at time t, {} represents the set, and || represents the basis of the set.

对于图1所示工件,设t时刻该工件已进入系统且尚未加工,则该工件可以在设备M1和M5上加工,对这两台设备有需求;如果该工件的工序Op1已加工完毕,则下一道工序可选择Op3或Op4,其中Op3可以在设备M2上加工,而Op4可以在设备M4或M8上加工,因此该工件对设备M2、M4和M8有需求。根据扩展工艺顺序规划树,可以计算所有待加工工件对设备的需求,从而可以计算对每台空闲设备的需求量。For the workpiece shown in Figure 1, suppose the workpiece has entered the system and has not been processed at time t, then the workpiece can be processed on equipment M1 and M5, and there is a demand for these two equipments; if the process Op1 of the workpiece has been processed, then Op3 or Op4 can be selected for the next process, where Op3 can be processed on equipment M2, and Op4 can be processed on equipment M4 or M8, so the workpiece has requirements for equipment M2, M4 and M8. According to the extended process sequence planning tree, the equipment requirements of all workpieces to be processed can be calculated, so that the demand for each idle equipment can be calculated.

设备需求与设备前待加工工件队列长度是不同的概念。队列长度表示已分配给该设备,但尚未加工的工件数;而设备需求量表示系统中工件对该设备的潜在需求。由于工件存在工艺顺序规划柔性和加工路径柔性,所以这些工件可能分配给该设备加工,也可能分配给其它设备加工。Equipment requirements and the queue length of workpieces to be processed in front of the equipment are different concepts. The queue length indicates the number of workpieces that have been assigned to the equipment but has not yet been processed; while the equipment demand indicates the potential demand of the equipment by the workpieces in the system. Due to the flexibility of process sequence planning and processing path of workpieces, these workpieces may be allocated to this equipment for processing, or may be allocated to other equipment for processing.

未来一段时间内待加工工件对设备Mk需求量的变化趋势称为设备k的需求趋势,记为Dk(t)。设可以用连续可导函数Fk(t)拟合设备需求量Rk(t),则设备需求趋势为:The changing trend of the demand for equipment Mk for workpieces to be processed in a period of time in the future is called the demand trend of equipment k, denoted as D k (t). Assume that the continuous derivable function F k (t) can be used to fit the equipment demand R k (t), then the equipment demand trend is:

D k ( t ) = d dt F k ( t ) (式1b) D. k ( t ) = d dt f k ( t ) (Formula 1b)

生产系统中反映被加工工件属性的量称为工件状态变量。工件状态变量主要包括工件i的平均松弛时间(ts,i),其计算方法如下:In the production system, the quantity that reflects the attributes of the processed workpiece is called the workpiece state variable. The workpiece state variables mainly include the average relaxation time (t s, i ) of the workpiece i, and its calculation method is as follows:

t s , i = d i - t - t r , i n r , i (式1c) t the s , i = d i - t - t r , i no r , i (Formula 1c)

式中,t为当前时刻,di为工件i的计划交货时间,tr,i为工件i的未加工工序所需总加工时间的期望值,nr,i为工件i的未加工工序数。In the formula, t is the current moment, d i is the planned delivery time of workpiece i, t r, i is the expected value of the total processing time required for the unprocessed process of workpiece i, n r, i is the number of unprocessed processes of workpiece i .

本发明定义的系统状态变量为:The system state variable defined by the present invention is:

x = R D t s (式1d) x = R D. t the s (Formula 1d)

其中,R=[R1,R2,......,RK]T,D=[D1,D2,......,DK]T,ts=[ts,1,ts,2,......,ts,N]T,K为系统中的生产设备数,N为系统的工件数。Among them, R=[R 1 , R 2 ,..., R K ] T , D=[D 1 , D 2 ,..., D K ] T , t s =[t s , 1 , t s, 2 ,..., t s, N ] T , K is the number of production equipment in the system, and N is the number of workpieces in the system.

生产系统运行性能指标是衡量生产系统运行情况的评价标准。对于运行性能,主要关心其在生产周期结束时刻的值,而非其在整个生产周期中的变化过程。生产系统运行性能指标可以分为两大类:设备关联指标和工件关联指标,其中工件关联指标又可分为工件完工指标和工件流动指标。Production system operation performance index is an evaluation standard to measure the operation of the production system. For running performance, the main concern is its value at the end of the production cycle, rather than its change process throughout the production cycle. Production system operation performance indicators can be divided into two categories: equipment-related indicators and workpiece-related indicators, and workpiece-related indicators can be further divided into workpiece completion indicators and workpiece flow indicators.

评价生产系统中设备运行性能的指标称为设备关联指标,度量设备关联指标的关键因素为设备在整个调度周期内的加工时间。设备关联指标主要包括系统中设备的平均利用率(U)和设备负荷不平衡率(B),其计算方法如下:The index to evaluate the performance of equipment in the production system is called the equipment correlation index, and the key factor to measure the equipment correlation index is the processing time of the equipment in the entire scheduling cycle. The equipment correlation index mainly includes the average utilization rate (U) and equipment load unbalance rate (B) of the equipment in the system, and its calculation method is as follows:

U = ( 1 KT &Sigma; k = 1 K T k ) &times; 100 % (式2a) u = ( 1 KT &Sigma; k = 1 K T k ) &times; 100 % (Formula 2a)

B = ( 1 K &Sigma; k = 1 K | T k - 1 K &Sigma; j = 1 K T j | ) &times; 100 % (式2b) B = ( 1 K &Sigma; k = 1 K | T k - 1 K &Sigma; j = 1 K T j | ) &times; 100 % (Formula 2b)

其中,T为调度周期,Tj、Tk分别为设备j、k的加工时间(包括被加工工件装卸时间,以下同)。Among them, T is the scheduling period, T j and T k are the processing time of equipment j and k respectively (including the loading and unloading time of the processed workpiece, the same below).

设备负荷不平衡率是衡量设备相对负荷的重要指标。当负荷不平衡率大时,表明生产系统中设备负荷分布不均匀,存在瓶颈设备,系统生产率受这些瓶颈设备生产率的限制;当负荷不平衡率小时,表明系统中设备负荷分布均匀。Equipment load unbalance rate is an important indicator to measure the relative load of equipment. When the load unbalance rate is large, it indicates that the equipment load distribution in the production system is uneven, there are bottleneck equipment, and the system productivity is limited by the productivity of these bottleneck equipment; when the load unbalance rate is small, it indicates that the equipment load distribution in the system is uniform.

评价生产系统中被加工工件完工情况的指标称为工件完工指标,度量工件完工指标的关键因素是工件延误时间。工件完工指标也称为工件相对指标,它们的评价标准是相对工件的计划交货时间而言的,这些指标反映了系统对市场变化的响应能力,是衡量企业竞争力的重要指标。工件完工指标主要包括平均工件延误时间(td)、最大工件延误时间(td,max)和延误工件数(Nd),它们的计算方法如下:The index to evaluate the completion of the processed workpiece in the production system is called the workpiece completion index, and the key factor to measure the completion index of the workpiece is the delay time of the workpiece. Workpiece completion indicators are also called workpiece relative indicators. Their evaluation criteria are relative to the planned delivery time of workpieces. These indicators reflect the system's ability to respond to market changes and are important indicators to measure the competitiveness of enterprises. Workpiece completion indicators mainly include the average workpiece delay time (t d ), the maximum workpiece delay time (t d, max ) and the number of delayed workpieces (N d ), and their calculation methods are as follows:

t d = 1 N &Sigma; i = 1 N ( max { t d , i , 0 } ) (式2c) t d = 1 N &Sigma; i = 1 N ( max { t d , i , 0 } ) (Formula 2c)

td,mam=max{max{td,i},0}         (式2d)t d, mam = max{max{t d, i }, 0} (formula 2d)

Nd=|{i,td,i>0}|                 (式2e)N d =|{i,t d,i >0}| (Formula 2e)

其中:td,i为工件i的提前/拖期时间,定义为:Where: t d, i is the lead time/delay time of workpiece i, which is defined as:

td,i=tc,i-di t d,i =t c,i -d i

其中:tc,i为工件i的完工时间,di为工件i的计划交货时间。Among them: t c, i is the completion time of workpiece i, and d i is the planned delivery time of workpiece i.

评价被加工工件在生产系统中流动状态的指标称为工件流动指标,度量工件流动指标的关键因素是工件加工时间和工件等待时间。工件流动指标也称为工件绝对指标,它们反映了工件在加工过程中的绝对状态,这些指标反映了生产系统的生产效率,与生产成本有关。工件流动指标主要包括工件平均加工时间(tp)、工件平均等待时间(tw)和工件最大通过时间(tt,max),其计算方法如下:The index to evaluate the flow state of the processed workpiece in the production system is called the workpiece flow index, and the key factors to measure the workpiece flow index are the workpiece processing time and workpiece waiting time. Workpiece flow indicators are also called workpiece absolute indicators, which reflect the absolute status of workpieces during processing. These indicators reflect the production efficiency of the production system and are related to production costs. The workpiece flow index mainly includes the average processing time of the workpiece (t p ), the average waiting time of the workpiece (t w ) and the maximum passing time of the workpiece (t t, max ), and its calculation method is as follows:

t p = 1 N &Sigma; i = 1 N t p , i (式2f) t p = 1 N &Sigma; i = 1 N t p , i (Formula 2f)

t w = 1 N &Sigma; i = 1 N t w , i (式2g) t w = 1 N &Sigma; i = 1 N t w , i (Formula 2g)

tt,max=max{tp,i+tw,i}           (式2h)t t, max = max {t p, i +t w, i } (formula 2h)

其中:N为系统的工件数,tp,i为工件i的加工时间(含装卸时间,以下同),tw,i为工件i的等待时间。Among them: N is the number of workpieces in the system, t p, i is the processing time of workpiece i (including loading and unloading time, the same below), t w, i is the waiting time of workpiece i.

表一给出了生产系统运行性能典型评价指标及度量这些指标的关键因素。从表一可以看出,虽然评价生产系统运行性能的指标很多,但度量运行性能的关键因素为:在整个生产周期内,生产设备的加工时间(Tk),工件加工时间(tp,i)、工件等待时间(tw,i)和工件延误时间(td,i)。本发明涉及的调度方法中,定义性能反馈变量为:Table 1 gives the typical evaluation indicators of production system operation performance and the key factors to measure these indicators. It can be seen from Table 1 that although there are many indicators to evaluate the operation performance of the production system, the key factors to measure the operation performance are: in the entire production cycle, the processing time of the production equipment (T k ), the processing time of the workpiece (t p, i ), workpiece waiting time (t w, i ) and workpiece delay time (t d, i ). In the scheduling method involved in the present invention, the performance feedback variable is defined as:

y=[T1...TKtp,1...tp,Ntw,1...tw,Ntd,1...td,N]T    (式2i)y=[T 1 ... T K t p, 1 ... t p, N t w, 1 ... t w, N t d, 1 ... t d, N ] T (Formula 2i)

表1Table 1

Figure C20031011120100161
Figure C20031011120100161

本发明提出的调度方法在现有规则调度的基础上,引入状态、性能反馈,从而构成反馈调度规则,其原理如图2所示。图中,Task为生产系统1欲完成的任务,r为生产管理者H指定的调度规则矢量,rc为反馈调度规则矢量,Obj为生产管理者H制定的调度目标,x为系统运行状态矢量,y为系统运行性能反馈矢量。The dispatching method proposed by the present invention introduces state and performance feedback on the basis of existing rule dispatching, thereby constituting a feedback dispatching rule, and its principle is shown in FIG. 2 . In the figure, Task is the task to be completed by the production system 1, r is the scheduling rule vector specified by the production manager H, r c is the feedback scheduling rule vector, Obj is the scheduling target set by the production manager H, and x is the system running state vector, y is the system operation performance feedback vector.

设P,Q分别为状态、性能反馈系数矩阵,则反馈调度规则的矩阵表达式为:Let P and Q be the state and performance feedback coefficient matrices respectively, then the matrix expression of the feedback scheduling rule is:

rc=r+Px+Qy                              (式3)r c =r+Px+Qy (Formula 3)

上式给出了带状态性能反馈的规则调度方法的反馈调度规则的通用矩阵表达形式。根据具体的生产系统,可以选择不同的系统状态和运行性能,从而构成相应的反馈调度规则。The above formula gives the general matrix expression form of the feedback scheduling rule of the rule scheduling method with state performance feedback. According to the specific production system, different system states and operating performance can be selected to form corresponding feedback scheduling rules.

本发明调度算法中,对于设备k,带状态、性能反馈的调度规则为:In the scheduling algorithm of the present invention, for equipment k, the scheduling rule with status and performance feedback is:

rcM,k=rM,k+pk1Rk+pk2Dk+qkTk          (式3a)r cM, k = r M, k + p k1 R k + p k2 D k + q k T k (Formula 3a)

对于待加工工件i,带状态、性能反馈的调度规则为:For the workpiece i to be processed, the scheduling rule with status and performance feedback is:

rcJ,i=rJ,i+pits,i+qi1tp,i/tw,i-qi2td,i    (式3b)r cJ, i = r J, i + p i t s, i + q i1 t p, i /t w, i -q i2 t d, i (Formula 3b)

其中,rM,k、rJ,i表示生产管理者分别为设备k指定的调度规则、为工件i指定的调度规则,pk1、pk2为设备k的状态反馈系数,qk为设备k的性能反馈系数,pi为工件i的状态反馈系数,qi1、qi2为工件i的性能反馈系数。上式的一个简化情况为:为所有设备指定一个调度规则rM,为所有工件指定一个调度规则rJ,在此基础上再构成反馈调度规则。一个更为简化的情况为:为所有设备和工件指定一个调度规则。Among them, r M, k , r J, i represent the scheduling rules specified by the production manager for equipment k and the scheduling rules specified for workpiece i respectively, p k1 and p k2 are the state feedback coefficients of equipment k, and q k is the status feedback coefficient of equipment k , p i is the state feedback coefficient of workpiece i, q i1 and q i2 are the performance feedback coefficients of workpiece i. A simplification of the above formula is as follows: specify a scheduling rule r M for all equipment, specify a scheduling rule r J for all workpieces, and then form a feedback scheduling rule on this basis. A more simplified case is to specify a scheduling rule for all equipment and workpieces.

令:rc=[rcM,1rcM,2...rcM,KrcJ,1rcJ,2...rcJ,N]T Order: r c = [r cM, 1 r cM, 2 ... r cM, K r cJ, 1 r cJ, 2 ... r cJ, N ] T

r=[rM,1rM,2...rM,KrJ,1rJ,2...rJ,N]T r=[r M, 1 r M, 2 ... r M, K r J, 1 r J, 2 ... r J, N ] T

x=[R1R2...RKD1D2...DKts,1ts,2...ts,N]T x=[R 1 R 2 ... R K D 1 D 2 ... D K t s, 1 t s, 2 ... t s, N ] T

y=[T1T2...TKu1u2...uNtd,1td,2...td,N]T,(其中ui=tp,i/tw,i)y=[T 1 T 2 ... T K u 1 u 2 ... u N t d, 1 t d, 2 ... t d, N ] T , (where u i = t p, i /t w, i )

Figure C20031011120100171
Figure C20031011120100171

Figure C20031011120100172
Figure C20031011120100172

则(式3a)和(式3b)可以表示为(式3)形式的矩阵表达式。Then (Formula 3a) and (Formula 3b) can be expressed as a matrix expression in the form of (Formula 3).

式3a、式3b中的反馈系数反映了对应状态、性能对排序规则的相对影响程度,一般情况下,状态、性能反馈系数可以简单地设置为1,如果需要加强对某运行性能的优化,则可增加和减少对应的状态、性能反馈系数。如:假设某生产任务对交货时间要求非常严格,则可以增加(式3b)中的q2i。特别地,当反馈系数为0时,表示调度规则与对应的反馈变量无关。The feedback coefficients in Equation 3a and Equation 3b reflect the relative influence of the corresponding state and performance on the sorting rules. In general, the state and performance feedback coefficients can be simply set to 1. If it is necessary to strengthen the optimization of a certain operating performance, then The corresponding state and performance feedback coefficients can be increased and decreased. For example: assuming that a production task has very strict requirements on delivery time, q 2i in (Formula 3b) can be increased. In particular, when the feedback coefficient is 0, it means that the scheduling rule has nothing to do with the corresponding feedback variable.

在任意一决策时刻,根据(式3a)计算空闲设备的优先级,按优先级从高到低的顺序,分别确定可在某台空闲设备上加工的待加工工件,并根据(式3b)计算待加工工件的优先级,将优先级最高的待加工工件分配给该设备加工。生产系统的规则调度,就是反复应用这一步骤,在每一决策时刻,将合适的工件分配给合适的设备加工,直到所有工件加工完毕。At any decision-making moment, calculate the priority of the idle equipment according to (Formula 3a), and determine the workpieces to be processed on a certain idle equipment in order of priority from high to low, and calculate according to (Formula 3b) The priority of the workpiece to be processed, assign the workpiece with the highest priority to be processed by the equipment. The regular scheduling of the production system is to apply this step repeatedly, and at each decision-making moment, assign the appropriate workpiece to the appropriate equipment for processing until all workpieces are processed.

在优先级计算中,rcM,k的值越小,对应设备的优先级越高;rcJ,i的值越小,对应工件的优先级越高。In priority calculation, the smaller the value of r cM, k , the higher the priority of the corresponding equipment; the smaller the value of r cJ, i , the higher the priority of the corresponding workpiece.

根据(式3a)、(式3b)计算空闲设备、待加工工件的优先级时,由于优先级计算公式中引入了状态反馈,因此,设备和工件的优先级计算方法不是固定不变的,优先级的计算和系统运行状态相关,从而提供了一种根据系统运行状态实时调整设备、工件优先级排序方法的技术手段。同时,(式3a)和(式3b)中还引入了系统运行性能反馈,从而提供了一种根据系统上次运行性能调整设备、工件优先级排序方法的迭代优化手段。When calculating the priority of idle equipment and workpieces according to (Formula 3a) and (Formula 3b), since state feedback is introduced into the priority calculation formula, the priority calculation method of equipment and workpieces is not fixed. The calculation of the level is related to the operating state of the system, thus providing a technical means to adjust the priority of equipment and workpieces in real time according to the operating state of the system. At the same time, (Equation 3a) and (Equation 3b) also introduce system operating performance feedback, thus providing an iterative optimization method to adjust equipment and workpiece priority ranking methods according to the last operating performance of the system.

反馈规则调度对生产系统中物流的控制过程如下:当设备k利用率较低时,Tk下降,通过反馈控制,rk下降,设备k的优先级上升,因此设备k能获得更多的工件,提高其利用率。类似地,当预计工件i无法按期完工时,td,i上升,通过反馈控制,ri下降,工件i的优先级上升,使其能提前加工。The control process of feedback rule scheduling on logistics in the production system is as follows: when the utilization rate of equipment k is low, T k decreases, through feedback control, r k decreases, and the priority of equipment k increases, so equipment k can obtain more workpieces , to increase its utilization. Similarly, when job i is expected to fail to be completed on schedule, t d, i increases, and through feedback control, r i decreases, and the priority of job i rises so that it can be processed in advance.

系统运行性能是对系统运行情况的客观评价,而调度目标则是生产管理者对系统特定运行性能的追求。调度目标反映了生产管理者的主观意愿,因此,不同的生产管理者往往具有不同的调度目标,即使是同一生产管理者,其调度目标也会随生产任务、生产周期的改变而改变。调度目标反映了生产管理者当前最关心的系统运行性能,因此,生产过程优化应围绕调度目标进行,即重点优化调度目标中包含的系统运行性能。实际生产调度中,调度目标可表示为系统运行性能和系统运行状态的函数。常见的调度目标函数有:生产周期最短、工件延误时间最短、设备利用率最高、设备负荷不平衡率最小等,调度目标函数也可能是上述若干指标的加权和。The system operation performance is an objective evaluation of the system operation, while the scheduling target is the pursuit of the production manager for the specific operation performance of the system. Scheduling objectives reflect the subjective wishes of production managers. Therefore, different production managers often have different scheduling objectives. Even for the same production manager, their scheduling objectives will change with changes in production tasks and production cycles. The scheduling objective reflects the system performance that the production manager is most concerned about at present. Therefore, the optimization of the production process should be carried out around the scheduling objective, that is, focusing on optimizing the system operating performance included in the scheduling objective. In actual production scheduling, the scheduling target can be expressed as a function of the system's operating performance and system operating status. Common scheduling objective functions include: the shortest production cycle, the shortest workpiece delay time, the highest equipment utilization rate, the smallest equipment load imbalance rate, etc. The scheduling objective function may also be the weighted sum of the above indicators.

本发明提出的调度系统和调度方法,提供了一种技术手段,通过调节反馈调度规则中的状态、性能反馈系数,优化调度目标函数中出现的系统运行性能,具体调节方法如下:对于调度目标函数中出现的状态、性能变量,则在反馈调度规则中增大这些变量的反馈系数。如:当调度目标函数为工件延误时间最小,或调度目标函数中包含工件延误时间变量时,则增大(式3b)中反馈系数qi2,使反馈调度规则对工件延误时间更敏感。The dispatching system and dispatching method proposed by the present invention provide a technical means to optimize the system operating performance in the dispatching objective function by adjusting the status and performance feedback coefficients in the feedback dispatching rules. The specific adjustment method is as follows: for the dispatching objective function The status and performance variables appearing in , then increase the feedback coefficients of these variables in the feedback scheduling rules. For example, when the scheduling objective function is the minimum workpiece delay time, or the scheduling objective function includes the workpiece delay time variable, then increase the feedback coefficient q i2 in (Equation 3b) to make the feedback scheduling rule more sensitive to workpiece delay time.

此外,当系统存在调度目标函数时,本调度方法还采用如下迭代优化策略,不断优化生产过程。In addition, when there is a scheduling objective function in the system, the scheduling method also adopts the following iterative optimization strategy to continuously optimize the production process.

r(j) cM,k=rM,k+pk1R(j) k+pk2D(j) k+qkT(j-1) k                          (式4a)r (j) cM, k = r M, k + p k1 R (j) k + p k2 D (j) k + q k T (j-1) k (Equation 4a)

r(j) cJ,i=rJ,i+pit(j) s,i+qi1t(j-1) p,i/t(j-1) w,i-qi2t(j-1) d,i    (式4b)r (j) cJ, i = r J, i + p i t (j) s, i + q i1 t (j-1) p, i /t (j-1) w, i -q i2 t (j -1) d, i (Equation 4b)

Sopt=S(j),当Obj(S(j))<Obj(Sopt)时                                  (式4c)S opt =S (j) , when Obj(S (j) )<Obj(S opt ) (Formula 4c)

式中,上标j表示迭代次数。r(j) cM,k、r(j) cJ,i分别表示第j次迭代中设备k、工件i采用的反馈调度规则,即在各决策点时刻,根据此调度规则确定生产设备和工件的优先级。S(j)为根据反馈调度规则r(j) cM,k和r(j) cJ,i得到的第j次迭代时系统解,即在每一台生产设备上完成的工序队列和加工每道工序的开始时间和结束时间。Sopt为系统最优解。Obj为调度目标函数,Obj(S)表示当系统调度解为S时系统的目标函数值。首次迭代时,定义Sopt为空,且定义Obj(Sopt)的初值为一充分大的正数,如1000,10000等。这里,第j次迭代调度中,计算设备、工件优先级的方法不仅与系统当前状态有关,而且还与第(j-1)次系统的运行性能相关,从而提供了一种根据系统上次运行性能调节设备、工件优先级计算方法的迭代优化手段。In the formula, the superscript j represents the number of iterations. r (j) cM,k , r (j) cJ, i respectively represent the feedback scheduling rules adopted by equipment k and workpiece i in the j-th iteration, that is, at each decision point, according to this scheduling rule, determine the priority. S (j) is the system solution at the jth iteration obtained according to the feedback scheduling rule r (j) cM, k and r (j) cJ, i , that is, the process queue completed on each production equipment and each process The start time and end time of the operation. S opt is the optimal solution of the system. Obj is the scheduling objective function, and Obj(S) represents the objective function value of the system when the system scheduling solution is S. In the first iteration, S opt is defined as empty, and the initial value of Obj(S opt ) is defined as a sufficiently large positive number, such as 1000, 10000 and so on. Here, in the jth iterative scheduling, the method of calculating the priority of equipment and workpieces is not only related to the current state of the system, but also related to the operating performance of the (j-1)th time system, thus providing a method based on the last operation of the system Iterative optimization means of performance adjustment equipment and workpiece priority calculation method.

设生产系统共有K台加工设备,现需要完成包含N个工件的生产任务,且已知该生产任务中每个工件的交货时间di,已知该生产任务中每一个工件的扩展工艺顺序规划树,则应用本发明实现生产调度的具体步骤如下:Assuming that the production system has K sets of processing equipment, it is now necessary to complete a production task containing N workpieces, and the delivery time d i of each workpiece in this production task is known, and the extended process sequence of each workpiece in this production task is known planning tree, the specific steps of applying the present invention to realize production scheduling are as follows:

1.根据生产任务制定调度目标函数Obj1. Formulate the scheduling objective function Obj according to the production task

如果该生产任务交货时间紧或延期交货将受处罚,可选式2c、式2d或式2e为调度目标,即:If the delivery time of the production task is tight or the late delivery will be punished, formula 2c, formula 2d or formula 2e can be selected as the scheduling target, namely:

Obj = min t d = min 1 N &Sigma; i = 1 N ( max { t d , i , 0 } ) , Obj = min t d = min 1 N &Sigma; i = 1 N ( max { t d , i , 0 } ) , or

Obj=mintd,max=min(max{max{td,i},0}),或Obj = mint d, max = min(max{max{t d, i }, 0}), or

Obj=minNd=min|{i,td,i>0}|Obj=minN d =min|{i,t d,i >0}|

如果该生产任务交货时间宽松,则可选式2a或式2b为调度目标,即:If the delivery time of the production task is loose, formula 2a or formula 2b can be selected as the scheduling target, namely:

Obj = max U = max ( 1 KT &Sigma; k = 1 K T k ) &times; 100 % , Obj = max u = max ( 1 KT &Sigma; k = 1 K T k ) &times; 100 % , or

ObjObj == minmin BB == minmin (( 11 KK &Sigma;&Sigma; kk == 11 KK || TT kk -- 11 KK &Sigma;&Sigma; jj == 11 KK TT jj || )) &times;&times; 100100 %%

也可选式2f、式2g或式2h为调度目标,即:Formula 2f, formula 2g or formula 2h can also be selected as the scheduling target, namely:

Obj = min t p = min 1 N &Sigma; i = 1 N t p , i , Obj = min t p = min 1 N &Sigma; i = 1 N t p , i , or

Obj = min t w = min 1 N &Sigma; i = 1 N t w , i , Obj = min t w = min 1 N &Sigma; i = 1 N t w , i , or

Obj=mintt,max=min(max{tp,i+tw,i})Obj = mint t, max = min(max {t p, i + t w, i })

调度目标函数可以是若干性能的加权和,以便获得较好的综合性能。例如,当同时要求保证工件交货期和提高设备的利用率时,则调度目标函数可设为:The scheduling objective function can be a weighted sum of several performances in order to obtain better comprehensive performance. For example, when it is required to guarantee the delivery time of the workpiece and improve the utilization rate of the equipment at the same time, the scheduling objective function can be set as:

ObjObj == minmin (( cc 11 tt dd -- cc 22 Uu )) == minmin (( cc 11 tt dd -- cc 22 (( 11 KTKT &Sigma;&Sigma; kk == 11 KK TT kk )) &times;&times; 100100 %% ))

其中c1、c2为常数,如果交货期更重要,可取较大的c1,如果设备利用率更重要,可取较大的c2Among them, c 1 and c 2 are constants. If the delivery date is more important, a larger c 1 can be selected; if the equipment utilization rate is more important, a larger c 2 can be selected.

2.分别为生产设备k和工件i指定调度规则rM,k、rJ,i。也可采用简化处理方法:为所有设备指定一个调度规则rM,为所有工件指定一个调度规则rJ。也可采用更简单的方法:为所有设备和工件指定同一个调度规则r。一般可选常用的调度规则,如:剩余加工时间最长优先、剩余加工时间最短优先、剩余工序数最多优先、剩余工序数最少优先、交货期最早优先、松弛时间最短优先、加工效率最高优先等;2. Specify scheduling rules r M,k and r J,i for production equipment k and workpiece i respectively. A simplified processing method can also be adopted: specify a scheduling rule r M for all equipment, and specify a scheduling rule r J for all workpieces. A simpler approach is also possible: specify the same scheduling rule r for all equipment and workpieces. Commonly used scheduling rules are generally optional, such as: the longest remaining processing time priority, the shortest remaining processing time priority, the largest number of remaining processes priority, the least number of remaining processes priority, the earliest delivery date priority, the shortest slack time priority, and the highest processing efficiency priority wait;

3.分别设置迭代反馈调度规则(式4a)和(式4b)中的状态、性能反馈系数:3. Set the state and performance feedback coefficients in the iterative feedback scheduling rules (Formula 4a) and (Formula 4b) respectively:

pk1=pk2=qk=1,k=1,2,......,Kp k1 = p k2 = q k = 1, k = 1, 2, . . . , K

pi=qi1=qi2=1,i=1,2,......,Np i =q i1 =q i2 =1, i=1, 2, . . . , N

如果调度目标函数中包含设备利用率或设备负荷不平衡率,则增大qk;如果调度目标函数中包含平均工件延误时间,或包含最大工件延误时间,或包含延误工件数,则增大qi2;如果调度目标函数中包含工件平均加工时间,或包含工件平均等待时间,或包含工件最大通过时间,则增大qi1If the scheduling objective function includes equipment utilization rate or equipment load unbalance rate, then increase q k ; if the scheduling objective function includes the average workpiece delay time, or includes the maximum workpiece delay time, or includes the number of delayed workpieces, then increase q i2 ; if the scheduling objective function includes the average processing time of the workpiece, or includes the average waiting time of the workpiece, or includes the maximum passing time of the workpiece, then increase q i1 .

4.设置迭代控制参数和迭代初值,即:4. Set iteration control parameters and iteration initial value, namely:

令当前迭代次数j=1,令最大迭代次数为NmaxLet the current number of iterations j=1, let the maximum number of iterations be N max ;

令Sopt为空,且令Obj(Sopt)为一充分大的数(1000或10000等);Let S opt be empty, and let Obj(S opt ) be a sufficiently large number (1000 or 10000, etc.);

令T(0) k=0,k=1,2,......,K;Let T (0) k = 0, k = 1, 2, . . . , K;

令t(0) p,i=t(0) w,i=t(0) d,i=0,i=1,2,......,NLet t (0) p,i =t (0) w,i =t (0) d,i =0,i=1,2,...,N

5.所有设备设置为空闲状态,所有工件设置为初始状态。5. All equipment is set to idle state, and all workpieces are set to initial state.

6.根据图3所示子程序算法给空闲设备分配待加工工件。6. According to the subroutine algorithm shown in Figure 3, allocate workpieces to be processed to idle equipment.

7.如果还有未完成工件,则前进一单位时间,转步骤6。7. If there are unfinished workpieces, advance one unit of time and go to step 6.

8.结束本次迭代,并根据(式2a)——(式2h)计算本次迭代系统运行性能,计算调度目标函数值Obj(S(j)),j为当前迭代次数,如果Obj(S(j))<Obj(Sopt),则Sopt=S(j)8. End this iteration, and calculate the operating performance of this iteration system according to (Formula 2a) - (Formula 2h), calculate the scheduling objective function value Obj(S (j) ), j is the current iteration number, if Obj(S (j) )<Obj(S opt ), then S opt =S (j) .

9.迭代次数加1,如果j≤Nmax,转步骤5,进入下一次迭代。9. Add 1 to the number of iterations. If j≤N max , go to step 5 and enter the next iteration.

10.停止迭代,并输出最优调度结果Sopt和对应的调度目标函数Obj(Sopt)值。10. Stop the iteration, and output the optimal scheduling result S opt and the corresponding scheduling objective function Obj(S opt ) value.

图4为实现本发明调度算法的一个生产系统的设备组成和布局模型(生产系统1),图5为该系统的通信连接示意图。Fig. 4 is a device composition and layout model (production system 1) of a production system implementing the scheduling algorithm of the present invention, and Fig. 5 is a schematic diagram of the communication connection of the system.

生产系统1中,根据工件的加工状况,可以将工件分为毛坯R、半成品、成品F。毛坯在装卸站4处,经人工装夹在标准托盘P上,进入生产系统1等待加工;成品在装卸站4处,经人工取下退出生产系统1。装卸站4设置有一显示装置2,用于接收并显示中央控制器8的输出命令,提示操作工人当前应完成的操作类型:即取下装卸站4处托盘P上的成品,并按中央控制器8的命令要求在该托盘上以指定方式装夹指定类型的毛坯。在装卸站4处还有一输入装置3,用于操作者向中央控制器8发送信息,通知中央控制器8:装卸站处托盘上的成品已取下并已按要求装夹了新的毛坯,毛坯可以由自动轨道小车9载入生产系统1进行加工。In the production system 1, the workpiece can be divided into rough R, semi-finished product, and finished product F according to the processing status of the workpiece. The blank is manually clamped on the standard pallet P at 4 loading and unloading stations, and enters the production system 1 to wait for processing; the finished product is at the 4 loading and unloading stations, and is manually removed and exits the production system 1. The loading and unloading station 4 is provided with a display device 2, which is used to receive and display the output command of the central controller 8, and prompt the operator to complete the type of operation currently: that is, remove the finished product on the pallet P at the loading and unloading station 4, and press the central controller The command of 8 requires that the blank of the specified type be clamped in the specified way on the pallet. There is also an input device 3 at the loading and unloading station 4, which is used for the operator to send information to the central controller 8 to notify the central controller 8 that the finished product on the pallet at the loading and unloading station has been removed and a new blank has been clamped as required. The blank can be loaded into the production system 1 by an automatic track trolley 9 for processing.

系统缓冲站6用于暂时存放工件。缓冲站上设有一定数量的物理工位7a、7b、7c、......,每个物理工位上可以设置一个托盘P,托盘P上装夹有待加工工件。在系统缓冲站控制器5中,记录着物理工位相对于系统缓冲站6绝对原点的相对位置,同时还记录着物理工位的状态(上面有无托盘、托盘上有无工件、托盘的编号及托盘上工件的编号)。根据缓冲站控制器5的命令,缓冲站可以将指定的物理工位移动到缓冲站托盘交换工位S02、S03或S04处,为托盘取/放操作做好准备。缓冲站控制器5通过局域网LAN与中央控制器8连接,可以接收中央控制器8的命令,也可以将系统缓冲站6的状态信息反馈到中央控制器8。System buffer station 6 is used for temporary storage of workpieces. There are a certain number of physical stations 7a, 7b, 7c, . In the system buffer station controller 5, the relative position of the physical station relative to the absolute origin of the system buffer station 6 is recorded, and the state of the physical station (whether there is a pallet on it, whether there is a workpiece on the pallet, the number of the pallet and the number of the pallet on the pallet) is also recorded. workpiece number). According to the command of the buffer station controller 5, the buffer station can move the designated physical station to the pallet exchange station S02, S03 or S04 of the buffer station to prepare for the pallet pick/place operation. The buffer station controller 5 is connected to the central controller 8 through a local area network LAN, and can receive commands from the central controller 8, and can also feed back status information of the system buffer station 6 to the central controller 8.

自动轨道小车9可在轨道10上运动,小车9上附有托盘自动取/放机构,可以完成托盘取/放操作。生产系统1中,在每个托盘交换工位S01,S02,S03,...,S15安装有位置指示元件,安装在自动轨道小车(9)上的位置检测元件可以检测到每个托盘交换工位,从而实现自动轨道小车(9)的精确定位。小车通过无线通信装置A接收中央控制器8的命令并返回小车的状态信息。根据中央控制器8发出的命令,自动轨道小车9可以运动到指定的托盘交换工位S01,S02,S03,...,S15并完成托盘取/放操作,因此毛坯、半成品、成品通过自动轨道小车9可以在装卸站4、系统缓冲站6和生产设备M1,M2,M3,...之间移动。The automatic track trolley 9 can move on the track 10, and the trolley 9 is equipped with an automatic tray picking/putting mechanism, which can complete the tray picking/putting operation. In production system 1, each pallet exchange station S01, S02, S03, ..., S15 is equipped with a position indicating element, and the position detection element installed on the automatic track trolley (9) can detect the position of each pallet exchange station. position, thereby realizing the precise positioning of the automatic track dolly (9). The car receives the command of the central controller 8 through the wireless communication device A and returns the status information of the car. According to the command issued by the central controller 8, the automatic track trolley 9 can move to the designated pallet exchange station S01, S02, S03, ..., S15 and complete the pallet picking/putting operation, so the blanks, semi-finished products and finished products pass through the automatic track The trolley 9 can move between the loading and unloading station 4, the system buffer station 6 and the production equipment M1, M2, M3, . . .

在生产系统1中,有若干台生产设备M1,M2,M3,...,不同的生产设备具有不同的加工能力,可以完成不同工序的加工。设备具有三种状态,即加工状态、空闲状态、故障(包括计划检修)状态。每台设备有一设备控制器C1,C2,C3,...,负责监测、控制该设备的运行。设备控制器C1,C2,C3,...通过局域网LAN和中央控制器8连接,可以接收中央控制器8下传的命令和数控加工程序,并完成相应的加工任务,也可以将设备状态上传到中央控制器8。In the production system 1, there are several production equipments M1, M2, M3, . . . Different production equipments have different processing capabilities and can complete different processes. The equipment has three states, namely processing state, idle state, fault (including planned maintenance) state. Each device has a device controller C1, C2, C3, . . . responsible for monitoring and controlling the operation of the device. The equipment controllers C1, C2, C3, ... are connected to the central controller 8 through the local area network LAN, and can receive the commands and NC machining programs downloaded from the central controller 8, and complete the corresponding processing tasks, and can also upload the equipment status to the central controller 8.

中央控制器8由计算机、输入输出电路、通信装置及相应调度软件等组成,负责生产系统运行状态监测和系统运行控制。The central controller 8 is composed of a computer, input and output circuits, communication devices and corresponding scheduling software, etc., and is responsible for monitoring the operating status of the production system and controlling the system.

中央控制器8经输出、输入接口分别与装卸站显示装置2、装卸站输入装置3相连,经无线通信装置A与自动轨道小车9相连,经局域网LAN与系统缓冲站控制器5和生产设备控制器C1,C2,C3,...相连。The central controller 8 is connected to the loading and unloading station display device 2 and the loading and unloading station input device 3 respectively through the output and input interfaces, connected to the automatic track trolley 9 through the wireless communication device A, and controlled by the system buffer station controller 5 and production equipment through the local area network Devices C1, C2, C3, ... are connected.

中央控制器8存储生产任务中所有工件的交货期及其扩展工艺顺序规划树,并根据本发明提出的调度方法,运行调度程序,实现对生产系统1的调度控制,即:控制迭代循环,并判断全部迭代是否结束,如果结束,则输出系统最优调度结果。在每一个迭代循环中,实时记录系统中每一个工件的状态,即工件是处在加工状态还是待加工状态,工件最近刚加工完(或正在加工)的工序。此外还实时记录每一台设备的状态,即设备是处在加工状态、空闲状态还是故障状态,每台设备完成的加工工序和工序的开始时间和结束时间。在每一个决策时刻,根据反馈调度规则,确定将哪一个工件的哪一道工序分配给哪一台设备加工,当完成一次任务分配后,实时更改系统中相关工件和设备的状态,并向有关设备发出托盘(工件)交换命令。The central controller 8 stores the delivery dates of all workpieces in the production task and its extended process sequence planning tree, and runs the scheduling program according to the scheduling method proposed by the present invention to realize the scheduling control of the production system 1, that is, control the iterative cycle, And judge whether all the iterations are over, if it is over, output the optimal scheduling result of the system. In each iterative cycle, the status of each workpiece in the system is recorded in real time, that is, whether the workpiece is in the processing state or to be processed, and the process of the workpiece that has just been processed (or is being processed) recently. In addition, the status of each device is recorded in real time, that is, whether the device is in a processing state, idle state or fault state, the processing procedure completed by each device and the start time and end time of the process. At each decision-making moment, according to the feedback scheduling rules, determine which process of which workpiece is assigned to which equipment for processing. After completing a task assignment, change the status of related workpieces and equipment in the system in real time, and report to the relevant equipment Issue a pallet (workpiece) exchange command.

中央控制器8发出的托盘(工件)交换命令格式如下:The pallet (workpiece) exchange command format that central controller 8 sends is as follows:

LD Pxx Sxx;在托盘交换工位Sxx取托盘PxxLD Pxx Sxx; take pallet Pxx at pallet exchange station Sxx

UL Pxx Sxx;在托盘交换工位Sxx存托盘PxxUL Pxx Sxx; deposit pallet Pxx at pallet change station Sxx

当完成一次任务分配后,即确定将某工件(如工件i)的某道工序分配给某台设备(如设备k)加工后,中央控制器8将向系统缓冲站控制器5发出取托盘(工件i)命令,缓冲站控制器5收到该命令后将缓冲站中载有工件i的托盘移动到托盘交换工位S02、S03或S04,等待自动轨道小车9取托盘。同时,中央控制器8将向自动轨道小车9发出取托盘命令,小车9收到该命令后即运动到指定的缓冲站托盘交换工位取出托盘。此后,中央控制器8将再向自动轨道小车9发出存托盘命令,小车9收到该命令后即将载有工件i的托盘存放到设备k处,供其加工。After completing a task distribution, after determining that a certain process of a certain workpiece (such as workpiece i) is assigned to a certain equipment (such as equipment k) for processing, the central controller 8 will send a tray to the system buffer station controller 5 ( Workpiece i) command, buffer station controller 5 will move the pallet loaded with workpiece i in the buffer station to the pallet exchange station S02, S03 or S04 after receiving the command, and wait for the automatic track trolley 9 to take the pallet. At the same time, the central controller 8 will send an order to take pallets to the automatic track trolley 9, and after receiving the command, the trolley 9 will move to the designated buffer station pallet exchange station to take out the pallets. Thereafter, the central controller 8 will send a pallet storage command to the automatic track trolley 9. After receiving the command, the trolley 9 will store the pallet carrying the workpiece i to the device k for processing.

此外,当一台设备加工完一道工序后,如果该工件还有未完成工序,或该工件所有工序全部加工完毕但目前装卸站上有托盘,则中央控制器8向自动轨道小车9发出取托盘命令,将该设备中的托盘以及装夹在托盘上的工件取出,并向自动轨道小车和系统缓冲站发送存托盘命令,将该托盘以及装夹在托盘上的工件送至系统缓冲站6暂存。如果该工件所有工序全部加工完毕且目前装卸站空闲,则中央控制器8先后向自动轨道小车9发出取托盘命令和存托盘命令,将该设备中的托盘以及装夹在托盘上的工件取出,送至系统装卸站,并向装卸站输出显示信息,通知操作工人卸下托盘上的成品并按要求装夹新毛坯。In addition, when a piece of equipment finishes processing a process, if the workpiece has unfinished processes, or all processes of the workpiece have been processed but there are pallets on the loading and unloading station, the central controller 8 will send a pallet pick-up call to the automatic track trolley 9. command, take out the pallet in the device and the workpiece clamped on the pallet, and send the pallet storage command to the automatic track trolley and the system buffer station, and send the pallet and the workpiece clamped on the pallet to the system buffer station 6 temporarily live. If all the processes of the workpiece have been processed and the current loading and unloading station is idle, the central controller 8 successively sends a pallet fetching command and a pallet storage command to the automatic track trolley 9 to take out the pallet in the device and the workpiece clamped on the pallet, Send it to the loading and unloading station of the system, and output display information to the loading and unloading station, informing the operator to unload the finished product on the pallet and clamp the new blank as required.

如果系统缓冲站6存在已经加工完毕的成品,则中央控制器8通知自动轨道小车9将该成品取出并送至装卸站4。同时,中央控制器8向装卸站显示装置2输出命令,通知装卸站4处的操作工人取下托盘上的成品并按要求装夹新的毛坯。如果系统缓冲站6中有空闲托盘,则中央控制器8通知自动轨道小车9将该托盘取出并送至装卸站4。同时,中央控制器8向装卸站显示装置2输出命令,通知装卸站4处的操作工人按要求装夹新的毛坯。If there are finished products in the system buffer station 6, the central controller 8 will notify the automatic track trolley 9 to take out the finished products and send them to the loading and unloading station 4. Simultaneously, the central controller 8 outputs an order to the display device 2 of the loading and unloading station to notify the operator at the loading and unloading station 4 to take off the finished product on the pallet and clamp a new blank as required. If there is an idle pallet in the system buffer station 6, the central controller 8 notifies the automatic rail car 9 to take out the pallet and send it to the loading and unloading station 4. Simultaneously, the central controller 8 outputs commands to the loading and unloading station display device 2 to notify the operators at the loading and unloading station 4 to clamp new blanks as required.

毛坯在装卸站4处装夹完毕后,操作工人通过装卸站输入装置3发出信号,中央控制器8收到信号后控制自动轨道小车9将毛坯取走并送至系统缓冲区6等待加工。After the blank is clamped at the 4 loading and unloading stations, the operator sends a signal through the loading and unloading station input device 3. After receiving the signal, the central controller 8 controls the automatic track trolley 9 to take the blank and send it to the system buffer 6 for processing.

该生产系统的一个相似系统为:在生产系统1的基础上,增加系统输入缓冲站和系统输出缓冲站。输入缓冲站用于存放毛坯,输出缓冲站用于存放成品。该生产系统的另一个相似系统为:在每台生产设备M1,M2,M3,...前,根据需要可以增加局部缓冲站,类似地,局部缓冲站也可以分为输入缓冲站和输出缓冲站。A similar system of this production system is: on the basis of production system 1, add the system input buffer station and the system output buffer station. The input buffer station is used to store blanks, and the output buffer station is used to store finished products. Another similar system of this production system is: in front of each production equipment M1, M2, M3, ..., local buffer stations can be added as needed, similarly, local buffer stations can also be divided into input buffer stations and output buffer stations stand.

Claims (5)

1.一种带状态性能反馈的规则调度方法,依次包括如下步骤:1. A rule scheduling method with state performance feedback, comprising the steps in turn: (1)根据生产任务制定调度目标函数Obj;(1) Formulate the scheduling objective function Obj according to the production task; (2)分别为生产设备k和工件i指定调度规则rM,k、rJ,i,k=1,2,……,K,i=1,2,……,N;(2) Designate scheduling rules r M, k , r J, i for production equipment k and workpiece i respectively, k=1, 2,..., K, i=1, 2,..., N; (3)构造迭代反馈调度规则rcM,k、rcJ,i(3) Construct iterative feedback scheduling rules r cM, k , r cJ, i : rcM,k=rM,k+pk1Rk+pk2Dk+qkTk r cM, k = r M, k +p k1 R k +p k2 D k +q k T k rcJ,i=rJ,i+pits,i+qi1tp,i/tw,i-qi2td,i r cJ, i = r J, i + p i t s, i + q i1 t p, i /t w, i -q i2 t d, i 其中pk1、pk2为设备k的状态反馈系数,qk为设备k的性能反馈系数,pi为工件i的状态反馈系数,qi1、qi2为工件i的性能反馈系数;Rk为设备k的需求量,Dk为设备k的需求趋势,Tk为设备k的加工时间;ts,i为工件i的平均松驰时间,tp,i为工件i的加工时间,tw,i为工件i的等待时间,td,i为工件i的延误时间;其中,Among them, p k1 and p k2 are the state feedback coefficients of equipment k, q k is the performance feedback coefficient of equipment k, p i is the state feedback coefficient of workpiece i, q i1 and q i2 are the performance feedback coefficients of workpiece i; R k is The demand of equipment k, D k is the demand trend of equipment k, T k is the processing time of equipment k; t s, i is the average relaxation time of workpiece i, t p, i is the processing time of workpiece i, t w , i is the waiting time of job i, t d, i is the delay time of job i; where, 设备需求量Rk(t)由下式计算:Equipment demand R k (t) is calculated by the following formula: Rk(t)=|{Ji(t)}|,式中,Ji(t)表示在t时刻可以在生产设备上加工的工件,{}表示集合,||表示集合的基;R k (t)=|{J i (t)}|, where J i (t) represents the workpieces that can be processed on the production equipment at time t, {} represents the set, and || represents the basis of the set; 设备需求趋势Dk(t)为:The equipment demand trend D k (t) is: D k ( t ) = d dt F k ( t ) , 式中,Fk(t)为根据Rk(t)拟合生成的连续可导函数; D. k ( t ) = d dt f k ( t ) , In the formula, F k (t) is a continuous derivable function generated by fitting according to R k (t); 工件i的平均松弛时间ts,i为:The average relaxation time t s of workpiece i, i is: t s , i = d i - t - t r , i n r , i , 式中,t为当前时刻,di为工件i的计划交货时间,tr,i t the s , i = d i - t - t r , i no r , i , In the formula, t is the current moment, d i is the planned delivery time of workpiece i, t r, i 为工件i的未加工工序所需总加工时间的期望值,nr,i为工件i的未加工工序数;is the expected value of the total processing time required for the unprocessed process of workpiece i, n r, i is the number of unprocessed processes of workpiece i; (4)设置迭代控制参数和迭代初值:(4) Set iteration control parameters and iteration initial value: 令当前迭代次数j=1,令最大迭代次数为NmaxLet the current number of iterations j=1, let the maximum number of iterations be N max ; 令Sopt为空,且令Obj(Sopt)为一充分大的数;Let S opt be empty, and let Obj(S opt ) be a sufficiently large number; 令T(0) k=0,t(0) p,i=t(0) w,i=t(0) d,i=0;Let T (0) k = 0, t (0) p, i = t (0) w, i = t (0) d, i = 0; (5)将所有设备设置为空闲状态,所有工件设置为初始状态;(5) All equipment is set to idle state, and all workpieces are set to initial state; (6)按照下述步骤给空闲设备分配待加工工件:(6) Assign workpieces to be processed to idle equipment according to the following steps: (6.1)如果没有空闲设备或没有待加工工件,转步骤(7);(6.1) If there is no idle equipment or no workpiece to be processed, go to step (7); (6.2)利用下述公式计算所有空闲设备的优先级;(6.2) Utilize the following formula to calculate the priority of all idle devices; r(j) cM,k=rM,k+pk1R(j) k+pk2D(j) k+qkT(j-1) k r (j) cM, k = r M, k +p k1 R (j) k +p k2 D (j) k +q k T (j-1) k (6.3)按优先级从高到低的顺序对每台空闲设备完成:(6.3) Complete each idle device in order of priority from high to low: (6.3.1)确定可在其上加工的待加工工件集合L,如果L为空集,则取优先级次之的空闲设备,重复本步骤;(6.3.1) Determine the set L of workpieces to be processed that can be processed on it, if L is an empty set, then take the idle device with the second priority, and repeat this step; (6.3.2)根据下式计算L中待加工工件的优先级:(6.3.2) Calculate the priority of workpieces to be processed in L according to the following formula: r(j) cJ,i=rJ,i+pit(j) s,i+qi1t(j-1) p,i/t(j-1) w,i-qi2t(j-1) d,i r (j) cJ, i = r J, i + p i t (j) s, i + q i1 t (j-1) p, i /t (j-1) w, i -q i2 t (j -1) d,i (6.3.3)取优先级最高的工件给该空闲设备加工;(6.3.3) Take the workpiece with the highest priority and process it for the idle device; (6.3.4)判断是否还有空闲设备,如果有,进入步骤(6.3.1),否则,进入步骤(7);(6.3.4) judge whether there is also idle equipment, if so, enter step (6.3.1), otherwise, enter step (7); (7)如果所有工件加工完毕,转步骤(8);否则,前进一单位时间,转步骤(6);(7) If all workpieces are processed, turn to step (8); otherwise, advance one unit of time, turn to step (6); (8)本次迭代结束,计算本次迭代系统运行性能,计算调度目标函数值Obj(S(j)),j为当前迭代次数,如果Obj(S(j))<Obj(Sopt),则Sopt=S(j)(8) At the end of this iteration, calculate the operating performance of this iteration system, and calculate the scheduling objective function value Obj(S (j) ), where j is the current iteration number, if Obj(S (j) )<Obj(S opt ), Then S opt = S (j) ; (9)令j=j+1,如果j≤Nmax,转入步骤(5),否则进入步骤(10);(9) Make j=j+1, if j≤N max , go to step (5), otherwise go to step (10); (10)停止迭代,输出最优调度结果,该结果可以直接用于相同生产任务的调度。(10) Stop the iteration and output the optimal scheduling result, which can be directly used for the scheduling of the same production task. 2.根据权利要求1所述的调度方法,其特征在于:步骤(1)按以下方式制定调度目标函数Obj:2. The scheduling method according to claim 1, characterized in that: step (1) formulates scheduling objective function Obj in the following manner: 如果该生产任务交货时间紧或延期交货将受处罚,则选择下列公式之一为调度目标函数,即:If the delivery time of the production task is tight or late delivery will be penalized, choose one of the following formulas as the scheduling objective function, namely: Obj = min t d = min 1 N &Sigma; i = 1 N ( max { t d , i , 0 } ) , Obj = min t d = min 1 N &Sigma; i = 1 N ( max { t d , i , 0 } ) , or Obj=mintd,max=min(max{max{td,i},0}),或Obj = mint d, max = min(max{max{t d, i }, 0}), or Obj=minNd=min|{i,td,i>0}|Obj=minN d =min|{i, t d, i > 0}| 如果该生产任务交货时间宽松,则选择下列公式之一为调度目标函数,即:If the delivery time of the production task is loose, choose one of the following formulas as the scheduling objective function, namely: Obj=maxU=max ( 1 KT &Sigma; k = 1 K T k ) &times; 100 % , Obj=maxU=max ( 1 KT &Sigma; k = 1 K T k ) &times; 100 % , or Obj = min B = min ( 1 K &Sigma; k = 1 K | T k - 1 K &Sigma; j = 1 K T j | ) &times; 100 % , Obj = min B = min ( 1 K &Sigma; k = 1 K | T k - 1 K &Sigma; j = 1 K T j | ) &times; 100 % , or Obj = min t p = min 1 N &Sigma; i = 1 N t p , i , Obj = min t p = min 1 N &Sigma; i = 1 N t p , i , or Obj = min t w = min 1 N &Sigma; i = 1 N t w , i , Obj = min t w = min 1 N &Sigma; i = 1 N t w , i , or Obj=mintt,max=min(max{tp,i+tw,i})Obj = mint t, max = min(max {t p, i + t w, i }) 当同时要求保证工件交货期和提高设备的利用率时,则调度目标函数设为:When it is required to ensure the delivery date of the workpiece and improve the utilization rate of the equipment at the same time, the scheduling objective function is set as: ObjObj == minmin (( cc 11 tt dd -- cc 22 Uu )) == minmin (( cc 11 tt dd -- cc 22 (( 11 KTKT &Sigma;&Sigma; kk == 11 KK TT kk )) &times;&times; 100100 %% )) 其中c1、c2为常数,td为平均工件延误时间,K为系统中的生产设备数,T为调度周期,Tk为设备k的加工时间。Where c 1 and c 2 are constants, t d is the average workpiece delay time, K is the number of production equipment in the system, T is the scheduling cycle, and T k is the processing time of equipment k. 3.根据权利要求1或2的方法,其特征在于:其中还包括确定度量系统运行性能关键因素的方法,具体包括:度量设备关联性能的关键因素为设备加工时间,度量工件完工性能的关键因素为工件延误时间,度量工件流动性能的关键因素为工件加工时间和工件等待时间。3. The method according to claim 1 or 2, characterized in that: it also includes a method for determining key factors for measuring system performance, specifically including: the key factor for measuring equipment related performance is equipment processing time, and the key factor for measuring workpiece completion performance The key factors to measure the flow performance of workpieces are workpiece processing time and workpiece waiting time. 4.根据权利要求1的方法,其特征在于:利用扩展工艺顺序规划树来表示工件的工艺顺序规划柔性和工件的加工路径柔性。4. The method according to claim 1, characterized in that: using the extended process sequence planning tree to represent the process sequence planning flexibility of the workpiece and the processing path flexibility of the workpiece. 5.一种实现权利要求1所述方法的调度系统,包括中央控制器(8)、装卸站(4)、系统缓冲站(6)、自动轨道小车(9)和加工设备,其特征在于:5. a dispatching system realizing the method according to claim 1, comprising central controller (8), loading and unloading station (4), system buffer station (6), automatic track dolly (9) and processing equipment, is characterized in that: 所述加工设备均带有设备控制器;The processing equipment is equipped with an equipment controller; 毛坯经装卸站(4)进入系统缓冲站(6)等待加工,成品经装卸站(4)退出系统;The blank enters the system buffer station (6) through the loading and unloading station (4) to wait for processing, and the finished product exits the system through the loading and unloading station (4); 系统缓冲站(6)用于暂时存放工件,它设有缓冲站控制器(5);系统缓冲站(6)设有物理工位,每个物理工位上设置一个托盘,该托盘上装夹有待加工工件;缓冲站控制器(5)中记录着物理工位相对于系统缓冲站(6)绝对原点的相对位置,同时还记录着物理工位的状态;The system buffer station (6) is used for temporarily storing workpieces, and it is provided with a buffer station controller (5); the system buffer station (6) is provided with physical stations, and each physical station is provided with a pallet, which is clamped to be Workpiece processing; the relative position of the physical station relative to the absolute origin of the system buffer station (6) is recorded in the buffer station controller (5), and the state of the physical station is also recorded; 自动轨道小车(9)在装卸站(4)、系统缓冲站(6)和所述加工设备之间运动,其上附有托盘自动取/放机构;The automatic track car (9) moves between the loading and unloading station (4), the system buffer station (6) and the processing equipment, and an automatic pallet picking/putting mechanism is attached to it; 装卸站(4)、系统缓冲站(6)和所述加工设备上均设有托盘交换工位,每个托盘交换工位处安装有位置指示元件,安装在自动轨道小车(9)上的位置检测元件用于检测每个托盘交换工位,实现自动轨道小车(9)的精确定位;The loading and unloading station (4), the system buffer station (6) and the processing equipment are all equipped with pallet exchange stations, and each pallet exchange station is equipped with a position indicating element, which is installed at the position on the automatic track trolley (9) The detection element is used to detect each pallet exchange station to realize the precise positioning of the automatic track trolley (9); 中央控制器(8)分别与装卸站显示装置(2)、装卸站输入装置(3)、自动轨道小车(9)、系统缓冲站控制器(5)和所述设备控制器相连,控制各部件工作。The central controller (8) is respectively connected with the display device (2) of the loading and unloading station, the input device (3) of the loading and unloading station, the automatic track trolley (9), the system buffer station controller (5) and the equipment controller, and controls each component Work.
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