CN113190017A - Harvesting robot operation path planning method based on improved ant colony algorithm - Google Patents
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Abstract
本发明公开了一种基于改进蚁群算法的收获机器人作业路径规划方法,包括步骤:1、建立不规则四边形农田的数学模型,以转弯次数最少、作业行与边界的垂直程度最大为条件确定最优作业方向;2、将农田全覆盖路径规划抽象为车辆路线问题(VRP),并根据不同的卸粮位置分布,建立相应的VRP模型;3、根据收获机容量、总行驶距离、满载行驶距离和卸粮位置分布约束条件,采用改进的蚁群算法设计最优的作业行遍历顺序;4、根据作业行遍历顺序和农田模型,求解各个路径的表达式,生成农田全覆盖路径,为收获机的路径跟踪提供参考。该方法能够根据不同的卸粮位置分布情况设计满载行驶距离最小的农田全覆盖路径。
The invention discloses a method for planning a working path of a harvesting robot based on an improved ant colony algorithm, comprising the steps of: 1. Establishing a mathematical model of an irregular quadrilateral farmland, and determining the most 2. Abstract the full-coverage path planning of farmland into a vehicle routing problem (VRP), and establish a corresponding VRP model according to the distribution of different unloading positions; 3. According to the harvester capacity, total driving distance, and full-load driving distance 4. According to the traversal order of the operation row and the farmland model, solve the expression of each path, and generate the full coverage path of the farmland, which is the harvester The path tracing provides reference. This method can design the full-coverage path of the farmland with the minimum full-load driving distance according to the distribution of different grain unloading positions.
Description
技术领域technical field
本发明属于智能收获机作业路径规划领域,特别是涉及基于改进蚁群算法的收获机器人作业路径规划方法,具体涉及一种根据收获机粮仓容量、总行驶距离、满载行驶距离和卸粮位置分布约束条件,利用改进的蚁群算法设计全覆盖路径的方法。The invention belongs to the field of intelligent harvester operating path planning, in particular to a harvesting robot operating path planning method based on an improved ant colony algorithm, and in particular relates to a harvester granary capacity, total travel distance, full-load travel distance and unloading position distribution constraints conditions, using the improved ant colony algorithm to design the method of full coverage path.
背景技术Background technique
农田全覆盖路径规划是实现收获机自主作业的一项关键技术,能为收获机田间作业提供合理的路径,有效改善重复作业和遗漏作业问题,提高收获机的作业效率。目前在农田全覆盖路径规划方面没有成熟、通用的方法。在实际应用中,针对农田的全覆盖路径规划,主要有两种方式:一种是由驾驶员规定初始作业路径,并通过不断对其平移实现对农田的全覆盖;另一种是在特定的农田环境下,如矩形农田中,以梭行法或者螺旋法进行作业。以上两种路径规划方式的智能化程度、对不同农田的适应性以及作业效率较低。因此,需要对作业路径规划方法进行研究。The path planning of full coverage of farmland is a key technology to realize the autonomous operation of harvester, which can provide a reasonable path for harvester field operation, effectively improve the problem of repeated operation and missing operation, and improve the operation efficiency of harvester. At present, there is no mature and general method for full coverage path planning of farmland. In practical applications, there are two main ways to plan the full coverage path of farmland: one is to specify the initial working path by the driver, and to achieve full coverage of the farmland by constantly shifting it; In the farmland environment, such as rectangular farmland, the operation is carried out by the shuttle method or the spiral method. The above two path planning methods have low intelligence, adaptability to different farmland and operating efficiency. Therefore, it is necessary to study the work path planning method.
通过对全覆盖路径规划算法的国内外研究现状进行分析,多以行驶距离、有效作业面积占比、作业时长、能源消耗等为优化目标,利用贪婪算法、蚁群算法等优化算法设计最优作业路径。满载行驶距离、卸粮位置分布对农机作业路径的规划具有较大影响,综合考虑以上两种因素展开具体研究的相对较少。因此,在进行全覆盖路径规划时,需考虑以下两个因素:大型收获机的重量大,对土地的碾压较大,应减少满载收获机在田间的行驶距离;在实际作业时,存在间歇式卸粮方式,运粮车不能进入田地中,只能停靠在田边,需充分考虑卸粮点的位置分布,自主设计不同的覆盖路径。By analyzing the current research status of the full coverage path planning algorithm at home and abroad, the optimization goals such as the driving distance, the proportion of effective operation area, operation time, and energy consumption are used to design the optimal operation by using optimization algorithms such as greedy algorithm and ant colony algorithm. path. The full-load travel distance and the distribution of unloading positions have a great influence on the planning of agricultural machinery operation paths, and there are relatively few specific studies that comprehensively consider the above two factors. Therefore, when planning a full-coverage path, the following two factors need to be considered: the weight of the large harvester is large and the rolling of the land is large, so the driving distance of the full-load harvester in the field should be reduced; in actual operation, there are intermittent Grain unloading method, the grain truck cannot enter the field and can only park at the edge of the field. It is necessary to fully consider the location distribution of the unloading point and design different coverage paths independently.
发明内容SUMMARY OF THE INVENTION
针对收获机自主路径规划有效性低、通用性弱的问题,本发明提供基于改进蚁群算法的收获机器人作业路径规划方法,建立农田模型,根据五种卸粮位置分布情况,构建作业行与卸粮位置的距离模型,以收获机粮仓容量、总行驶距离、满载行驶距离为约束条件,利用改进的蚁群算法求解作业行遍历顺序,规划作业路径,减小对土地的碾压程度,提高路径规划算法对不同卸粮位置分布的适应性。Aiming at the problems of low effectiveness and weak generality of harvester autonomous path planning, the present invention provides a harvesting robot operation path planning method based on improved ant colony algorithm, establishes a farmland model, and constructs operation lines and unloading positions according to the distribution of five kinds of unloading positions. The distance model of grain location, with the harvester’s granary capacity, total travel distance, and full-load travel distance as constraints, uses the improved ant colony algorithm to solve the traversal sequence of the operation row, plan the operation path, reduce the degree of rolling on the land, and improve the path. The adaptability of the planning algorithm to the distribution of different unloading locations.
本发明提供基于改进蚁群算法的收获机器人作业路径规划方法,其特征在于,包括如下步骤:The present invention provides a method for planning a working path of a harvesting robot based on an improved ant colony algorithm, which is characterized by comprising the following steps:
步骤1、建立农田模型;Step 1. Establish a farmland model;
设农田的四个顶点为A、B、C和D,已知四点的坐标,分别求解出边界的数学表达式,完成对农田的初步建模,以转弯次数最少、作业行与边界的垂直程度最大为条件确定作业方向,分别以四边形的边和对角线为作业方向,求解各自所需的转弯次数;Let the four vertices of the farmland be A, B, C and D, and the coordinates of the four points are known, and the mathematical expressions of the boundaries are solved respectively, and the preliminary modeling of the farmland is completed. Determine the working direction according to the condition of the maximum degree, take the side and diagonal of the quadrilateral as the working direction respectively, and solve the required number of turns;
当以AD为作业方向时,设收获机的割幅为lcut_width,则一系列平行的作业行表示为When AD is the working direction, and the cutting width of the harvester is l cut_width , then a series of parallel working lines are expressed as
其中,kAD为AD边的斜率,bAD为AD边的截距,i为作业行的序号;Among them, k AD is the slope of AD side, b AD is the intercept of AD side, and i is the sequence number of the job row;
分别求解该组平行线与四边形边界的交点,如果有两个交点,则将转弯次数加一,直到没有交点,则保留当前的转弯次数作为此作业方向的结果;Solve the intersection points of the group of parallel lines and the quadrilateral boundary respectively, if there are two intersection points, add one to the number of turns, until there is no intersection, then keep the current number of turns as the result of this work direction;
同理,再分别以AB、BC、CD、AC和BD为作业方向,求解相应的转弯次数,通过对比,转弯次数最少的作业方向即为所求,如果有多组作业方向均满足转弯次数最少,则对比作业方向与边界的夹角,由于垂直情况下转弯复杂度与转弯距离较小,所以选择夹角接近90°的作业方向,最终,求解得到每个作业行的数学表示式,完善农田模型;In the same way, take AB, BC, CD, AC, and BD as the working directions, respectively, to solve the corresponding turning times. By comparison, the working direction with the fewest turning times is the desired one. If there are multiple sets of working directions that satisfy the minimum turning times. , then compare the included angle between the working direction and the boundary. Since the turning complexity and turning distance are small in the vertical case, the working direction with an included angle close to 90° is selected. Finally, the mathematical expression of each working row is obtained by solving and improving the farmland. Model;
步骤2、将农田全覆盖路径规划抽象为车辆路线问题,并根据不同的卸粮位置分布,建立相应的VRP模型;Step 2. Abstract the farmland full coverage path planning as a vehicle routing problem, and establish a corresponding VRP model according to the distribution of different grain unloading locations;
步骤3、根据收获机容量、总行驶距离、满载行驶距离和卸粮位置分布约束条件,采用改进的蚁群算法设计最优的作业行遍历顺序;Step 3. According to the harvester capacity, total driving distance, full-load driving distance and unloading position distribution constraints, the improved ant colony algorithm is used to design the optimal traversal sequence of job rows;
步骤4、根据作业行遍历顺序和农田模型,求解各个路径的表达式,生成农田全覆盖路径,为收获机的路径跟踪提供参考。Step 4. According to the traversal sequence of the job row and the farmland model, the expressions of each path are solved to generate a farmland full coverage path, which provides a reference for the path tracking of the harvester.
进一步的,所述步骤2将农田全覆盖路径规划抽象为车辆路线问题,并根据不同的卸粮位置分布,建立相应的VRP模型,包括如下步骤:Further, the step 2 abstracts the farmland full coverage path planning as a vehicle route problem, and establishes a corresponding VRP model according to the distribution of different grain unloading positions, including the following steps:
(2.1)定义五种卸粮位置分布情况:(2.1) Define five distributions of grain unloading positions:
基于间歇式卸粮方式进行研究,且运粮车不能在农田里行驶,需停靠在路边,按照卸粮的位置和数目分为以下五种情况:The research is based on the intermittent grain unloading method, and the grain truck cannot drive in the farmland and needs to be parked on the side of the road. According to the location and number of unloading grains, it is divided into the following five situations:
“a”:只有一个卸粮位置S1,在作业行的首部或尾部;"a": There is only one unloading position S 1 , at the beginning or end of the operation line;
“b”:只有一个卸粮位置S1,在与作业行平行的一侧道路上;"b": There is only one unloading position S 1 , on the side of the road parallel to the operation row;
“c”:有两个卸粮位置S1、S2,分别在作业行的首部、尾部;"c": There are two grain unloading positions S 1 and S 2 , which are at the head and tail of the operation line respectively;
“d”:有两个卸粮位置S1、S2,分别在与作业行平行的两侧道路上;"d": There are two grain unloading positions S 1 and S 2 , which are respectively on the two sides of the road parallel to the operation row;
“e”:有两个卸粮位置S1、S2,一个在作业行的首部或尾部,一个在与作业行平行的道路上;"e": There are two grain unloading positions S 1 , S 2 , one is at the head or tail of the operation row, and the other is on the road parallel to the operation row;
(2.2)建立VRP模型:(2.2) Establish a VRP model:
农田全覆盖路径规划是指通过规划收获机的作业路径,使其遍历整块农田,且每个作业行只经过一次,收获机的装载量不能超过其自身容量,当满载或者接近满载时,需到卸粮位置进行卸粮,设路径点集合为E,其中包括每个作业行的首端点iup、尾端点idown,卸粮位置S1、S2,每个作业行具有长度li和能够收获的粮食体积Vi两个属性,收获机从卸粮位置出发,通过一定顺序遍历各个作业行,最终回到卸粮位置,设收获机容量为Vgranary,作业行序号为i、j,其中i,j∈[1,nline],卸粮点S1到作业行首端的距离为到作业行尾端的距离为卸粮点S2到作业行首端的距离为到作业行尾端的距离为作业行之间的转弯距离为根据五种卸粮位置分布情况,分别建立作业行与卸粮位置间的距离模型如下:Full-coverage path planning of farmland refers to planning the operation path of the harvester so that it traverses the entire farmland, and each operation row only passes through once, and the loading capacity of the harvester cannot exceed its own capacity. To unload the grain at the unloading position, let the set of path points be E, which includes the start point i up and the tail point i down of each operation line, the unloading positions S 1 , S 2 , and each operation line has lengths li and There are two attributes of the grain volume V i that can be harvested. The harvester starts from the unloading position, traverses each operation line in a certain order, and finally returns to the unloading position. Let the capacity of the harvester be V granary , and the serial numbers of the operation lines are i, j, where i,j∈[1,n line ], the distance from the unloading point S 1 to the beginning of the operation line is The distance to the end of the job line is The distance from the unloading point S2 to the beginning of the operation row is The distance to the end of the job line is The turn distance between job rows is According to the distribution of five grain unloading positions, the distance models between the operation line and the grain unloading position are respectively established as follows:
(2.2.1)收获机在作业行首端卸载:(2.2.1) The harvester is unloaded at the beginning of the job row:
其中,li为第i个作业行的长度;Among them, l i is the length of the i-th job line;
(2.2.2)收获机在与作业行平行的一侧卸载:(2.2.2) The harvester is unloaded on the side parallel to the work row:
其中,w为作业行宽度,θup为上边界与作业行的夹角,θdown为下边界与作业行的夹角;Among them, w is the width of the work row, θ up is the angle between the upper boundary and the work row, and θ down is the angle between the lower boundary and the work row;
(2.2.3)收获机在作业行的首端和尾端均可卸载:(2.2.3) The harvester can be unloaded at the beginning and end of the row:
(2.2.4)收获机在与作业行平行的两侧均可卸载:(2.2.4) The harvester can be unloaded on both sides parallel to the work row:
其中,nline为作业行数目;Among them, n line is the number of job lines;
(2.2.5)收获机在作业行首端和左侧卸载:(2.2.5) The harvester is unloaded at the beginning and left of the row:
作业行之间的转弯距离为为The turn distance between job rows is for
其中,ST为T型转弯方式的转弯距离,SΩ为Ω型转弯方式的转弯距离,SU为U型转弯方式的转弯距离。Among them, S T is the turning distance of the T-turn, S Ω is the turning distance of the Ω-turn, and S U is the turning distance of the U-turn.
进一步的,所述步骤3根据收获机容量、总行驶距离、满载行驶距离和卸粮位置分布约束条件,采用改进的蚁群算法设计最优的作业行遍历顺序,具体包括如下步骤:Further, the step 3 adopts the improved ant colony algorithm to design the optimal traversal sequence of work rows according to the harvester capacity, total travel distance, full load travel distance and unloading position distribution constraints, which specifically includes the following steps:
(3.1)蚁群算法初始化:(3.1) Ant colony algorithm initialization:
设置蚁群规模为M,遗留信息素的重要程度因子为α,启发函数的重要程度因子为β,信息素挥发因子为ρ,蚂蚁迭代一次释放的信息素总量为Q,最大迭代次数为Imax;Set the size of the ant colony as M, the importance factor of the legacy pheromone as α, the importance factor of the heuristic function as β, the pheromone volatility factor as ρ, the total amount of pheromone released by ants in one iteration as Q, and the maximum number of iterations as I max ;
在初次迭代中,每条路径上的初始信息素含量相同,蚁群从卸粮点出发,根据每条路线的信息素含量和启发函数,选择合理的路径,每段路径pq的启发函数为距离越小,函数值越大;In the first iteration, the initial pheromone content on each path is the same. The ant colony starts from the unloading point and selects a reasonable path according to the pheromone content and heuristic function of each path. The heuristic function of each path pq is The smaller the distance, the larger the function value;
(3.2)路径选择:(3.2) Path selection:
计算第n次迭代中,第m只蚂蚁从当前点p向下一个点q转移的概率为In the calculation of the nth iteration, the probability of the mth ant transferring from the current point p to the next point q is:
其中,τpq(n)为第n次迭代中路径pq的信息素;Among them, τ pq (n) is the pheromone of the path pq in the nth iteration;
选择转移概率最大的路径作为目标路径,并判断是否超过容量约束,如果超过了,则不添加该点,继续寻找下一个目标点;如果没有超过,则将其添加到当前的路径中。重复该步骤,直到将所有作业行全部遍历,完成一次迭代,记录每只蚂蚁的路径节点并记录总路径长度通过对比,获得最小的总路径长度以及对应的路径 Select the path with the largest transition probability as the target path, and judge whether it exceeds the capacity constraint. If it exceeds, the point will not be added, and the next target point will continue to be found; if not, it will be added to the current path. Repeat this step until all job lines are traversed, complete one iteration, and record the path node of each ant and record the total path length By comparison, the minimum total path length is obtained and the corresponding path
(3.3)基于重量权重因子调整路线长度:(3.3) Adjust the route length based on the weight weight factor:
信息素的积累与路线的长度有直接关系,通过改变路线长度,改变信息素的含量,影响蚁群算法的寻优过程,在目前的路径规划算法中,多以行驶的总距离为代价函数,通过优化算法,求解得到使该函数达到最小值的可行解,除了考虑总行驶距离,加入了满载距离约束,当蚂蚁经过一个作业行时,更新其所收获的粮食体积,将该值与路径的长度进行关联,指导蚂蚁按照满载距离约束进行寻优,对路径的距离进行如下改进:The accumulation of pheromone is directly related to the length of the route. By changing the length of the route and changing the content of pheromone, the optimization process of the ant colony algorithm is affected. Through the optimization algorithm, the feasible solution that makes the function reach the minimum value is obtained. In addition to considering the total driving distance, the full load distance constraint is added. When the ants pass through a work row, the volume of the harvested grain is updated, and the value is related to the path's value. The length is associated to guide the ants to optimize according to the full load distance constraint, and the distance of the path is improved as follows:
其中,wightmass为重量权重因子,Vnow为当前收获的粮食体积,Vgranary为粮仓容量,km为比例因子,当蚂蚁以较大的重量经过某一路径时,所记录的该段路径的距离会大于真实距离,进而减小该路径的信息素,诱导蚂蚁在满载情况下寻找较短的路径;Among them, weight mass is the weight weight factor, V now is the currently harvested grain volume, V granary is the granary capacity, and km is the scale factor. The distance will be greater than the real distance, thereby reducing the pheromone of the path, inducing the ants to find a shorter path under full load;
(3.4)更新信息素:(3.4) Update pheromone:
蚂蚁每经过一条路径,都会在该路径留下信息素。下一次迭代时,路径pq的信息素含量为Every time an ant passes a path, it will leave a pheromone on the path. At the next iteration, the pheromone content of the path pq is
τpq(n+1)=(1-ρ)τpq(n)+Δτpq τ pq (n+1)=(1-ρ)τ pq (n)+Δτ pq
其中,(1-ρ)·τpq(n)为挥发之后剩余的信息素,Δτpq为本次迭代中,所有经过该路径的蚂蚁留下的信息素为:Among them, (1-ρ) τ pq (n) is the remaining pheromone after volatilization, and Δτ pq is the pheromone left by all ants passing through this path in this iteration:
其中,每只蚂蚁留下的信息素含量为:Among them, the pheromone content left by each ant is:
该值由所经过路径的距离决定,距离越短,信息素含量越高;The value is determined by the distance of the path passed, the shorter the distance, the higher the pheromone content;
(3.5)判断是否终止迭代:(3.5) Determine whether to terminate the iteration:
如果满足蚁群算法结束条件,则本次迭代蚂蚁走过的路径即为作业行遍历顺序,转到步骤4;If the end condition of the ant colony algorithm is satisfied, the path traversed by the ants in this iteration is the traversal sequence of the job row, and go to step 4;
如果不满足蚁群算法结束条件,令迭代次数i=i+1,跳转到步骤(3.2)继续寻找下一个路径。If the end condition of the ant colony algorithm is not satisfied, set the number of iterations i=i+1, and jump to step (3.2) to continue searching for the next path.
进一步的,所述蚁群算法结束条件为:Further, the end condition of the ant colony algorithm is:
当前迭代次数i>Imax,或最优解满足精度要求:The current number of iterations i>I max , or the optimal solution meets the accuracy requirements:
其中,是第i次迭代后,得到的最短路径长度,ξ是预设的精度阈值。in, is the shortest path length obtained after the ith iteration, and ξ is the preset accuracy threshold.
进一步的,所述步骤4根据作业行遍历顺序和农田模型,求解各个路径的表达式,生成农田全覆盖路径,为收获机的路径跟踪提供参考,具体如下:Further, the step 4 solves the expression of each path according to the traversal sequence of the job row and the farmland model, and generates a farmland full coverage path, which provides a reference for the path tracking of the harvester, as follows:
利用步骤3根据收获机容量、总行驶距离、满载行驶距离和卸粮位置分布约束条件,采用改进的蚁群算法设计最优的作业行遍历顺序,利用该遍历顺序将步骤1求解得到的各作业行表达式联系起来,构成覆盖整个农田的路径表达式。Using step 3, according to the distribution constraints of harvester capacity, total driving distance, full-load driving distance and unloading position, the improved ant colony algorithm is used to design the optimal traversal order of job rows, and each job obtained in step 1 is solved by using the traversal order. The row expressions are linked together to form a path expression covering the entire field.
有益效果:与现有技术相比,本发明公开的基于改进蚁群算法的收获机器人作业路径规划方法具有如下优点:提出了五种卸粮位置分布情况,并相应地建立了作业行与卸粮位置的距离模型,提高了路径规划算法对不同作业环境的适应性;利用蚁群算法进行路径搜索,鲁棒性强,具有更强的全局搜索能力;利用“重量权重因子”对路径长度进行调整,对蚁群算法进行改进,能够减小满载行驶距离,减少收获机对土地的碾压程度,提高作业效率。Beneficial effects: Compared with the prior art, the method for planning the working path of the harvesting robot based on the improved ant colony algorithm disclosed in the present invention has the following advantages: five kinds of grain unloading position distributions are proposed, and the operation row and grain unloading are correspondingly established. The distance model of the location improves the adaptability of the path planning algorithm to different operating environments; the ant colony algorithm is used for path search, which has strong robustness and stronger global search ability; the "weight weight factor" is used to adjust the path length , the improvement of the ant colony algorithm can reduce the full-load driving distance, reduce the degree of rolling of the land by the harvester, and improve the operation efficiency.
附图说明Description of drawings
图1为本发明公开的基于改进蚁群算法的收获机器人作业路径规划方法的流程图。FIG. 1 is a flowchart of a method for planning a working path of a harvesting robot based on an improved ant colony algorithm disclosed in the present invention.
具体实施方式Detailed ways
下面结合附图与具体实施方式对本发明作进一步详细描述:The present invention will be described in further detail below in conjunction with the accompanying drawings and specific embodiments:
本发明提供基于改进蚁群算法的收获机器人作业路径规划方法,建立农田模型,根据五种卸粮位置分布情况,构建作业行与卸粮位置的距离模型,以收获机粮仓容量、总行驶距离、满载行驶距离为约束条件,利用改进的蚁群算法求解作业行遍历顺序,规划作业路径,减小对土地的碾压程度,提高路径规划算法对不同卸粮位置分布的适应性。The invention provides an operation path planning method for a harvesting robot based on an improved ant colony algorithm. A farmland model is established. According to the distribution of five kinds of grain unloading positions, a distance model between the operation row and the unloading position is constructed. The full-load driving distance is the constraint condition. The improved ant colony algorithm is used to solve the traversal sequence of the operation row, plan the operation path, reduce the degree of rolling of the land, and improve the adaptability of the path planning algorithm to the distribution of different unloading positions.
如图1所示,本发明公开了基于改进蚁群算法的收获机器人作业路径规划方法,包括如下步骤:As shown in FIG. 1 , the present invention discloses a method for planning a working path of a harvesting robot based on an improved ant colony algorithm, which includes the following steps:
步骤1、建立农田模型:Step 1. Establish a farmland model:
设农田的四个顶点为A、B、C和D,已知四点的坐标,可以分别求解出边界的数学表达式,完成对农田的初步建模。以转弯次数最少、作业行与边界的垂直程度最大为条件确定作业方向,分别以四边形的边和对角线为作业方向,求解各自所需的转弯次数。Let the four vertices of the farmland be A, B, C, and D. Knowing the coordinates of the four points, the mathematical expressions of the boundaries can be solved respectively, and the preliminary modeling of the farmland can be completed. The working direction is determined on the condition that the number of turns is the least and the perpendicularity between the working row and the boundary is the maximum, and the sides and diagonals of the quadrilateral are used as the working direction to solve the required number of turns.
当以AD为作业方向时,设收获机的割幅为lcut_width,则一系列平行的作业行可以表示为 When AD is the working direction, set the cutting width of the harvester as l cut_width , then a series of parallel working lines can be expressed as
其中,kAD为AD边的斜率,bAD为AD边的截距,i为作业行的序号;Among them, k AD is the slope of AD side, b AD is the intercept of AD side, and i is the sequence number of the job row;
分别求解该组平行线与四边形边界的交点,如果有两个交点,则将转弯次数加一,直到没有交点,则保留当前的转弯次数作为此作业方向的结果。Solve the intersection of the set of parallel lines and the quadrilateral boundary respectively. If there are two intersections, add one to the number of turns until there is no intersection, then keep the current number of turns as the result of this job direction.
同理,再分别以AB、BC、CD、AC和BD为作业方向,求解相应的转弯次数。通过对比,转弯次数最少的作业方向即为所求。如果有多组作业方向均满足转弯次数最少,则对比作业方向与边界的夹角。由于垂直情况下转弯复杂度与转弯距离较小,所以选择夹角接近90°的作业方向。最终,求解得到每个作业行的数学表示式,完善农田模型。In the same way, take AB, BC, CD, AC, and BD as the working directions to solve the corresponding turning times. By comparison, the working direction with the least number of turns is the desired one. If there are multiple sets of working directions that satisfy the minimum number of turns, compare the angle between the working direction and the boundary. Since the turning complexity and turning distance are small in the vertical case, the working direction with an included angle close to 90° is selected. Finally, the mathematical expression of each operation row is obtained by solving, and the farmland model is perfected.
步骤2、将农田全覆盖路径规划抽象为车辆路线问题,并根据不同的卸粮位置分布,建立相应的VRP模型。包括如下步骤:Step 2. Abstract the full-coverage path planning of farmland into a vehicle routing problem, and establish a corresponding VRP model according to the distribution of different unloading positions. It includes the following steps:
(2.1)定义五种卸粮位置分布情况(2.1) Define the distribution of five grain unloading locations
本发明基于间歇式卸粮方式进行研究,且运粮车不能在农田里行驶,需停靠在路边。按照卸粮的位置和数目可分为以下五种情况:The present invention is researched based on the intermittent grain unloading method, and the grain transport vehicle cannot run in the farmland and needs to be parked on the side of the road. According to the location and number of unloading grains, it can be divided into the following five situations:
“a”:只有一个卸粮位置S1,在作业行的首部(或尾部);"a": There is only one unloading position S 1 , at the head (or tail) of the operation line;
“b”:只有一个卸粮位置S1,在与作业行平行的一侧道路上;"b": There is only one unloading position S 1 , on the side of the road parallel to the operation row;
“c”:有两个卸粮位置S1、S2,分别在作业行的首部、尾部;"c": There are two grain unloading positions S 1 and S 2 , which are at the head and tail of the operation line respectively;
“d”:有两个卸粮位置S1、S2,分别在与作业行平行的两侧道路上;"d": There are two grain unloading positions S 1 and S 2 , which are respectively on the two sides of the road parallel to the operation row;
“e”:有两个卸粮位置S1、S2,一个在作业行的首部(或尾部),一个在与作业行平行的道路上。"e": There are two grain unloading positions S 1 , S 2 , one is at the head (or tail) of the operation row, and the other is on the road parallel to the operation row.
(2.2)建立VRP模型(2.2) Establish a VRP model
农田全覆盖路径规划是指通过规划收获机的作业路径,使其遍历整块农田,且每个作业行只经过一次,收获机的装载量不能超过其自身容量。当满载或者接近满载时,需到卸粮位置进行卸粮。设路径点集合为E,其中包括每个作业行的首端点iup、尾端点idown,卸粮位置S1、S2。每个作业行具有长度li和能够收获的粮食体积Vi两个属性。收获机从卸粮位置出发,通过一定顺序遍历各个作业行,最终回到卸粮位置。设收获机容量为Vgranary,作业行序号为i、j(i,j∈[1,nline]),卸粮点S1到作业行首端的距离为到作业行尾端的距离为卸粮点S2到作业行首端的距离为到作业行尾端的距离为作业行之间的转弯距离为根据五种卸粮位置分布情况,分别建立作业行与卸粮位置间的距离模型如下:Farmland full coverage path planning refers to planning the operation path of the harvester so that it traverses the entire farmland, and each operation row only passes through once, and the loading capacity of the harvester cannot exceed its own capacity. When the load is full or close to full load, it needs to go to the unloading position to unload the grain. Let the set of path points be E, which includes the start point i up , the end point i down , and the unloading positions S 1 and S 2 of each job row. Each job row has two attributes : length li and harvestable grain volume Vi . The harvester starts from the unloading position, traverses each operation line in a certain order, and finally returns to the unloading position. Let the capacity of the harvester be V granary , the serial numbers of the operation lines are i, j (i,j∈[1,n line ]), and the distance from the unloading point S1 to the beginning of the operation line is The distance to the end of the job line is The distance from the unloading point S2 to the beginning of the operation row is The distance to the end of the job line is The turn distance between job rows is According to the distribution of five grain unloading positions, the distance models between the operation line and the grain unloading position are respectively established as follows:
(2.2.1)收获机在作业行首端卸载(2.2.1) The harvester is unloaded at the beginning of the operation row
其中,li为第i个作业行的长度。where li is the length of the i -th job line.
(2.2.2)收获机在与作业行平行的一侧卸载(2.2.2) The harvester is unloaded on the side parallel to the working row
其中,w为作业行宽度,θup为上边界与作业行的夹角,θdown为下边界与作业行的夹角。Among them, w is the width of the work row, θ up is the angle between the upper boundary and the work row, and θ down is the angle between the lower boundary and the work row.
(2.2.3)收获机在作业行的首端和尾端均可卸载(2.2.3) The harvester can be unloaded at the beginning and end of the operation row
(2.2.4)收获机在与作业行平行的两侧均可卸载(2.2.4) The harvester can be unloaded on both sides parallel to the operation row
其中,nline为作业行数目。Among them, n line is the number of job lines.
(2.2.5)收获机在作业行首端和左侧卸载(2.2.5) The harvester is unloaded at the head and left side of the operation row
作业行之间的转弯距离为为The turn distance between job rows is for
其中,ST为T型转弯方式的转弯距离,SΩ为Ω型转弯方式的转弯距离,SU为U型转弯方式的转弯距离。Among them, S T is the turning distance of the T-turn, S Ω is the turning distance of the Ω-turn, and S U is the turning distance of the U-turn.
步骤3、根据收获机容量、总行驶距离、满载行驶距离和卸粮位置分布约束条件,采用改进的蚁群算法设计最优的作业行遍历顺序。具体包括如下步骤:Step 3. According to the harvester capacity, total driving distance, full-load driving distance and unloading position distribution constraints, an improved ant colony algorithm is used to design the optimal traversal sequence of job rows. Specifically include the following steps:
(3.1)蚁群算法初始化(3.1) Initialization of Ant Colony Algorithm
设置蚁群规模为M,遗留信息素的重要程度因子为α,启发函数的重要程度因子为β,信息素挥发因子为ρ,蚂蚁迭代一次释放的信息素总量为Q,最大迭代次数为Imax。Set the size of the ant colony as M, the importance factor of the legacy pheromone as α, the importance factor of the heuristic function as β, the pheromone volatility factor as ρ, the total amount of pheromone released by ants in one iteration as Q, and the maximum number of iterations as I max .
在初次迭代中,每条路径上的初始信息素含量相同。蚁群从卸粮点出发,根据每条路线的信息素含量和启发函数,选择合理的路径。每段路径pq的启发函数为距离越小,函数值越大。In the first iteration, the initial pheromone content on each path is the same. The ant colony starts from the unloading point and selects a reasonable path according to the pheromone content and heuristic function of each route. The heuristic function of each path pq is The smaller the distance, the larger the function value.
(3.2)路径选择(3.2) Path selection
计算第n次迭代中,第m只蚂蚁从当前点p向下一个点q转移的概率为In the calculation of the nth iteration, the probability of the mth ant transferring from the current point p to the next point q is:
其中,τpq(n)为第n次迭代中路径pq的信息素。where τ pq (n) is the pheromone of the path pq in the nth iteration.
选择转移概率最大的路径作为目标路径,并判断是否超过容量约束,如果超过了,则不添加该点,继续寻找下一个目标点;如果没有超过,则将其添加到当前的路径中。重复该步骤,直到将所有作业行全部遍历,完成一次迭代,记录每只蚂蚁的路径节点并记录总路径长度通过对比,获得最小的总路径长度以及对应的路径 Select the path with the largest transition probability as the target path, and judge whether it exceeds the capacity constraint. If it exceeds, the point will not be added, and the next target point will continue to be found; if not, it will be added to the current path. Repeat this step until all job lines are traversed, complete one iteration, and record the path node of each ant and record the total path length By comparison, the minimum total path length is obtained and the corresponding path
(3.3)基于重量权重因子调整路线长度(3.3) Adjust the route length based on the weight weight factor
信息素的积累与路线的长度有直接关系,通过改变路线长度,可改变信息素的含量,影响蚁群算法的寻优过程。在目前的路径规划算法中,多以行驶的总距离为代价函数,通过优化算法,求解得到使该函数达到最小值的可行解。本文除了考虑总行驶距离,加入了满载距离约束。为了减小满载情况下收获机对土地的压实程度,对路径的真实距离增加了重量权重因子。当蚂蚁经过一个作业行时,更新其所收获的粮食体积,将该值与路径的长度进行关联,指导蚂蚁按照满载距离约束进行寻优。对路径的距离进行如下改进:The accumulation of pheromone is directly related to the length of the route. By changing the length of the route, the content of pheromone can be changed, which affects the optimization process of the ant colony algorithm. In the current path planning algorithm, the total distance traveled is often used as the cost function, and through the optimization algorithm, the feasible solution that makes the function reach the minimum value is obtained. In addition to considering the total travel distance, this paper adds a full load distance constraint. In order to reduce the degree of compaction of the land by the harvester under full load, a weight weighting factor is added to the true distance of the path. When the ants pass through a job line, the volume of the harvested grain is updated, and the value is associated with the length of the path to guide the ants to optimize according to the full load distance constraint. The distance of the path is improved as follows:
其中,wightmass为重量权重因子,Vnow为当前收获的粮食体积,Vgranary为粮仓容量,km为比例因子。当蚂蚁以较大的重量经过某一路径时,所记录的该段路径的距离会大于真实距离,进而减小该路径的信息素,诱导蚂蚁在满载情况下寻找较短的路径。Among them, weight mass is the weight weight factor, V now is the volume of the currently harvested grain, V granary is the granary capacity, and km is the scale factor. When the ants pass through a certain path with a large weight, the recorded distance of the path will be greater than the real distance, thereby reducing the pheromone of the path and inducing the ants to find a shorter path under full load.
(3.4)更新信息素(3.4) Update pheromone
蚂蚁每经过一条路径,都会在该路径留下信息素。下一次迭代时,路径pq的信息素含量为Every time an ant passes a path, it will leave a pheromone on the path. At the next iteration, the pheromone content of the path pq is
τpq(n+1)=(1-ρ)τpq(n)+Δτpq τ pq (n+1)=(1-ρ)τ pq (n)+Δτ pq
其中,(1-ρ)·τpq(n)为挥发之后剩余的信息素,Δτpq为本次迭代中,所有经过该路径的蚂蚁留下的信息素为Among them, (1-ρ)·τ pq (n) is the remaining pheromone after volatilization, and Δτ pq is the pheromone left by all ants passing through the path in this iteration as
其中,每只蚂蚁留下的信息素含量为Among them, the pheromone content left by each ant is
该值由所经过路径的距离决定,距离越短,信息素含量越高。This value is determined by the distance of the path traversed, the shorter the distance, the higher the pheromone content.
(3.5)判断是否终止迭代(3.5) Determine whether to terminate the iteration
如果满足蚁群算法结束条件,则本次迭代蚂蚁走过的路径即为作业行遍历顺序,转到步骤4;If the end condition of the ant colony algorithm is satisfied, the path traversed by the ants in this iteration is the traversal sequence of the job row, and go to step 4;
如果不满足蚁群算法结束条件,令迭代次数i=i+1,跳转到步骤(3.2)继续寻找下一个路径。If the end condition of the ant colony algorithm is not satisfied, set the number of iterations i=i+1, and jump to step (3.2) to continue searching for the next path.
蚁群算法结束条件为:The end condition of the ant colony algorithm is:
当前迭代次数i>Imax,或最优解满足精度要求:The current number of iterations i>I max , or the optimal solution meets the accuracy requirements:
其中,是第i次迭代后,得到的最短路径长度,ξ是预设的精度阈值。in, is the shortest path length obtained after the ith iteration, and ξ is the preset accuracy threshold.
步骤4、根据作业行遍历顺序和农田模型,求解各个路径的表达式,生成农田全覆盖路径,为收获机的路径跟踪提供参考。具体如下:Step 4. According to the traversal sequence of the job row and the farmland model, the expressions of each path are solved to generate a farmland full coverage path, which provides a reference for the path tracking of the harvester. details as follows:
利用步骤3求解得到的作业行最优遍历顺序,将步骤1求解得到的各作业行表达式联系起来,构成覆盖整个农田的路径表达式。Using the optimal traversal order of the job row obtained by the solution in step 3, the expressions of each job row obtained by the solution in step 1 are connected to form a path expression covering the entire farmland.
以上所述,仅是本发明的较佳实施例之一,并非是对本发明作任何其他形式的限制,而依据本发明的技术实质所作的任何修改或等同变化,仍属于本发明所要求保护的范围。The above is only one of the preferred embodiments of the present invention, and is not intended to limit the present invention in any other form, and any modification or equivalent change made according to the technical essence of the present invention still belongs to the protection claimed by the present invention. scope.
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