CN116307646A - One-rail double-vehicle scheduling method based on two-stage dynamic partitioning algorithm - Google Patents
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Abstract
The invention relates to the technical field of rail guided vehicle dispatching, and discloses a one-rail double-vehicle dispatching method based on a two-stage dynamic partitioning algorithm, which comprises the following steps: partitioning the mobile task, wherein the optimization target is to minimize the execution time difference of the mobile task set between the two partitions, and determining the execution sequence of the mobile task of the two partitions; obtaining an optimal moving task sequence of the cross-region moving task through a second-stage scheduling algorithm based on an improved simulated annealing algorithm; the self-adaptive two-stage real-time scheduling method can improve the optimizing speed of the algorithm and reduce the response time of the algorithm.
Description
Technical Field
The invention relates to the technical field of rail guided vehicle dispatching, in particular to a one-rail double-vehicle dispatching method based on a two-stage dynamic partitioning algorithm.
Background
Rail guided vehicles (Rail Guided Vehicle, RGV), also known as rail shuttle vehicles.
The existing scheduling schemes of RGV mainly include partition scheduling, regular scheduling and regular real-time scheduling, which are described in detail below.
Partition type scheduling: the layout requirements are high, and the method is suitable for symmetrical layout, namely RGV stations are arranged on two sides, but the application effect under asymmetrical layout is poor; the utilization of RGVs is affected by the amount of tasks after partitioning, resulting in large differences in RGVs duty cycle.
And (3) regular scheduling: custom development is carried out according to different layout requirements; the scheduling is not flexible enough, and an unreasonable scheduling phenomenon exists, so that RGV movement is wasted; the service scenes to be considered are more, and errors can occur during development due to incomplete service scene consideration.
Conventional real-time scheduling: the overall scheduling efficiency is poor, and the method is not suitable for a short-time large-scale operation mode.
The invention aims to solve the problem of one-rail double-vehicle scheduling of large-scale operation tasks in a short time under a multi-layout scene, namely, how to scientifically schedule two RGVs in real time under the layout scene of symmetry, asymmetry and the like in which RGVs have a large number of moving tasks, and improves the RGV scheduling efficiency so as to reduce the total time for completing all the moving tasks.
Disclosure of Invention
In order to solve the technical problems, the invention provides a one-rail double-vehicle scheduling method based on a two-stage dynamic partitioning algorithm.
In order to solve the technical problems, the invention adopts the following technical scheme:
A one-rail double-vehicle scheduling method based on a two-stage dynamic partitioning algorithm is used for optimizing the total time of moving tasks of two RGVs on the same track and outputting a corresponding optimal moving task sequence; the sequence of the mobile tasks is the execution sequence of the mobile tasks; the one-rail double-vehicle scheduling method comprises the following steps:
s1, partitioning a mobile task, wherein an optimization target is to minimize the execution time difference of a mobile task set of two partitions, and the execution sequence of the mobile task of the two partitions is determined; the starting point and the end point of each mobile task are called RGV point positions, and specifically include:
s11: according to a certain RGV point positionDividing the track to form a left partition and a right partition>Representing a set of all RGV points; the moving task whose starting point and end point are both located in the left partition is marked as a moving task set +.>The method comprises the steps of carrying out a first treatment on the surface of the The mobile task whose starting point and end point are both located in the right partition is marked as the mobile task set +.>;
S12: by first-stage scheduling algorithm pair based on ant colony-genetic-particle swarm algorithm and />The mobile tasks in the left partition are sequenced and the mobile task sequences of the left partition are respectively output>And the movement task sequence of the right partition +.>,/> and />Respectively make- > and />The total moving distance of the middle moving task is shortest;
s13: calculating current RGV point positions respectivelyCorresponding-> and />Execution time of-> and />Calculating an execution time difference;
S14: repeating steps S11 to S13 until completionSelecting all RGV points; selecting the smallest execution time difference +.>The corresponding RGV-bit is taken as the optimal partition-bit +.>And the smallest execution time difference +.>Corresponding-> and />Respectively used as the optimal moving task sequence of the left partition and the optimal moving task sequence of the right partition;
s2, obtaining an optimal moving task sequence of the cross-region moving task through a second-stage scheduling algorithm based on an improved simulated annealing algorithm; wherein the transregional moving task is that the starting point and the end point are respectively positioned at the optimal partition point positionsA movement task on both sides; when the second stage scheduling algorithm is executed, only one RGV can execute the mobile task at the same time, and the RGV which does not execute the mobile task is avoided from being out of the mobile area of the RGV which executes the mobile task.
Specifically, in step S12, the moving task sequence of the left partition is outputted by the first-stage scheduling algorithm based on the ant colony-genetic-particle swarm algorithmAnd the movement task sequence of the right partition +.>When the method comprises the following steps:
S131: randomly selecting the left partition and the right partition respectivelyA sequence of mobile tasks, calculating left partition +.>The respective fitness value, right partition +.>The respective fitness values of the respective mobile task sequences;
s132: respectively selecting from left partition and right partitionA moving task sequence B with the shortest total moving distance,calculating the fitness value corresponding to each moving task sequence, and taking the fitness value of each moving task sequence B as the initial pheromone concentration of any two adjacent moving tasks in the moving task sequence B during ant colony search;
s133: taking the minimum value of the adaptation degree value of the moving task sequence of the left partition in the step S131 as the individual extremum of the left partitionThe corresponding movement task sequence is +.>The method comprises the steps of carrying out a first treatment on the surface of the Taking the minimum value of the right partition moving task sequence fitness value in the step S131 as the individual extremum +.>The corresponding movement task sequence is +.>The method comprises the steps of carrying out a first treatment on the surface of the Calculating the fitness values of all the mobile task sequences of the left partition and the right partition, and taking the minimum fitness value as the global extremum +.>And global extremum of right partition->Global extremum->The corresponding sequence of movement tasks is marked +.>Global extremum->The corresponding sequence of movement tasks is marked +. >;
S134: initializing the iteration times t=0;
s135: in the left partitionRandomly selecting +.>A plurality of movement tasks are allocated to ∈>Ants; for->Ant only, will be->The mobile task allocated by ant is placed in the corresponding task sequence solution set to calculate +.>Only ants are moved by the current task->To next movement task->State transition probability>And according to->Acquire next movement task->The movement task is further->Is placed at->Only the task sequence corresponding to ants is concentrated; when the mobile tasks to be ordered are all placed in the task sequence solution set, the +.>Mobile task sequence explored by ants only ∈>The method comprises the steps of carrying out a first treatment on the surface of the Computing the movement task sequence->Is>;
In the right partitionRandomly selecting +.>A plurality of movement tasks are allocated to ∈>Ants; for->Ant only, will be->The mobile task allocated by ant is placed in the corresponding task sequence solution set to calculate +.>Only ants are moved by the current task->To next movement task->State transition probability>And according to->Acquire next movement task->The movement task is further->Is placed at->Only the task sequence corresponding to ants is concentrated; when the mobile tasks to be ordered are all placed in the task sequence solution set, the +. >Mobile task sequence explored by ants only ∈>The method comprises the steps of carrying out a first treatment on the surface of the Computing the movement task sequence->Is>;
S136, for left partition: moving task sequencesAnd->Performing cross operation to obtain a mobile task sequence,/>And->Performing the cross operation again to obtain a moving task sequence +.>And then (2) to->Performing mutation operation to obtain a mobile task sequence->Calculating the execution movement task sequence->Is>The method comprises the steps of carrying out a first treatment on the surface of the If fitness value->Compared with->Smaller, accept the movement task sequence +.>The method comprises the steps of carrying out a first treatment on the surface of the If fitness value->Compared with->Not get smaller, then->The moving task sequence corresponding to ants only is still;
For the right partition: moving task sequencesAnd->Performing cross operation to obtain a moving task sequence +.>,/>And->Performing the cross operation again to obtain a moving task sequence +.>And then (2) to->Performing mutation operation to obtain a mobile task sequence->Calculating the execution movement task sequence->Is>The method comprises the steps of carrying out a first treatment on the surface of the If fitness value->Compared with->Smaller, accept the movement task sequence +.>The method comprises the steps of carrying out a first treatment on the surface of the If fitness value->Compared with->Not get smaller, then->The moving task sequence corresponding to ants only is still;
S137: after the moving task sequences of all ants in the left partition and the moving task sequences of all ants in the right partition are obtained, individual extremum values of ant colony in the left partition and the right partition are obtained 、/>Mobile task sequence corresponding to individual extremum、/>Global extremum->、/>A mobile task sequence corresponding to the global extremum +.>、Updating;
s138: iterative equation by ant colony pheromoneUpdating the information concentration between the mobile tasks; /> and />Representing the movement task +.for the t-th and t+1-th iterations, respectively>To move task->Pheromone concentration,/->Representing pheromone volatilization factors; />For the t-th iteration, move task +.>To move task->New pheromone concentration; the number of iterations t=t+1;
s139: repeating steps S135 to S138 until the number of repetitions reaches the set maximum number of iterations;
S1310: taking the moving task sequence corresponding to the individual extremum of the left partition as the optimal moving task sequence of the left partition; and taking the moving task sequence corresponding to the individual extremum of the right partition as the optimal moving task sequence of the right partition.
Specifically, state transition probabilities,/>Indicate->Ant only from the movement task->Accessible movementsA collection of dynamic tasks; />Representing the slave movement task->To move task->Is>Visibility of (i.e.)>,/>Representing movement task->Starting point to move task->Is the distance of the end point of (2); />Representing the relative importance of the track; />Indicating the relative importance of visibility.
Specifically, in step S13, a sequence of movement tasks to be operatedAnd a specific movement task sequence->When the cross operation is performed, the task sequence is moved>、/>Each comprising M mobile tasks; randomly generating two non-equal positive integers +.>、,/>Get the movement task sequence->The upper index is +.>To->Between mobile task segments->Move task sequence->Go up and->The movement task segment at the same position is removed and +.>Splicing the rest mobile task fragments to obtain a mobile task fragment +.>Finally, move task segment->Splice to Mobile task segment->Terminal, and thus get the sequence of tasks with movement +.>Corresponding new movement task sequence->。
Specifically, in step S13, a sequence of movement tasks to be operatedWhen the mutation operation is performed, the task sequence is moved、/>All comprising M movement tasks, randomly generating two unequal positive integers +.>、/>,/>Will->Index +.> and />Transposition is performed on the two mobile tasks of (2) to obtain AND +.>Corresponding new movement task sequence->。
Specifically, in step S13, the left partition moves the fitness value of the task sequenceThe method comprises the following steps:
wherein Moving the total number of tasks for the left partition; />Is->Start of individual movement tasks, +.>Is->End point of each movement task- >Is-> and />Is a distance of (2);
Specifically, the second stage scheduling algorithm based on the improved simulated annealing algorithm specifically comprises the following steps:
S21,initializing parameters of a second-stage scheduling algorithm: setting an initial temperatureStop temperature->Temperature decay Rate->Probability of mutation->The method comprises the steps of carrying out a first treatment on the surface of the Setting the number of internal cycles per unit temperature +.>The method comprises the steps of carrying out a first treatment on the surface of the Setting the current temperature +.>;
S22: randomly distributing to-be-sequenced cross-region mobile tasks to twoObtaining an initial solution; solving, namely a moving task sequence of a cross-region moving task;
s23: judging the current temperatureWhether or not is greater than->The method comprises the steps of carrying out a first treatment on the surface of the If yes, go to step S24, if no, go to step S210;
s24: constructing four ways of searching the neighborhood solution, and searching the neighborhood solution for the initial solution according to the ways of executing the four ways of searching the neighborhood solution with equal probability according to the internal circulation times LL at the preset unit temperature; then according to the settingThe rule judges to reserve new solutions or old solutions, and a plurality of solutions obtained through internal circulation at the current temperature are obtained;
s25: obtaining a plurality of solutions through internal circulation at the current temperature, calculating respective fitness values, taking two solutions with the minimum fitness values for performing cross operation, and calculating the fitness values of new solutions obtained after the cross operation; judging whether the fitness value of the new solution is smaller than the minimum fitness value of each solution at the current temperature, if so, taking the new solution as the optimal solution at the current temperature; if not, taking the solution with the minimum fitness value at the current temperature as the optimal solution at the current temperature;
S26: performing cross operation on the optimal solution at the current temperature and the optimal solution at the previous temperature, calculating the fitness value of the new solution after the cross, judging whether the fitness value of the new solution is smaller than the fitness value of the optimal solution at the current temperature, and if so, taking the new solution as the optimal solution at the current temperature; if not, keeping the optimal solution at the current temperature unchanged;
s27: taking the optimal solution at the current temperature, and according to the set variation probabilityExecuting the mutation operation, calculating the fitness value of the new solution after executing the mutation operation, judging whether the fitness value of the new solution is smaller than the fitness value of the optimal solution at the current temperature, and if so, taking the new solution as the optimal solution at the current temperature; if not, keeping the optimal solution at the current temperature unchanged;
s28: judging whether the fitness value of the optimal solution at the current temperature is smaller than that of the optimal solution at the previous temperature, if so, keeping the optimal solution at the current temperature as a final optimal solution; if not, taking the optimal solution at the previous temperature as the optimal solution finally obtained at the current temperature;
s29: performing a cooling process, i.e.Jumping to the step S24, and taking the optimal solution finally obtained at the current temperature as the initial solution in the step S24;
S210: for the current temperatureDecoding the finally obtained optimal solution to obtain the optimal movement of the transregional movement taskA task sequence.
Specifically, the metapolis rule is set as:a sequence of mobile tasks representing an old solution, +.>A sequence of mobile tasks representing a new solution, +.>A sequence of mobile tasks representing the current solution, +.>Fitness value representing old solution, +.>Fitness value representing the new solution, +.>An fitness value representing a current solution; according to the calculation mode of fitness value function, find +.> and />Difference>I.e. +.>The method comprises the steps of carrying out a first treatment on the surface of the If->Then accept the new solution, i.e. the current solution +.>,/>The method comprises the steps of carrying out a first treatment on the surface of the If condition A is satisfied, a new solution is accepted, i.e.)>,/>The method comprises the steps of carrying out a first treatment on the surface of the If the condition A is not satisfied, the old solution is retained, i.e. +.>,The method comprises the steps of carrying out a first treatment on the surface of the Wherein condition a is: />And->,/>Representing random numbers uniformly distributed within the interval (0, 1).
Specifically, when the cross operation is performed in the second stage scheduling algorithm: mobile task sequence to be operatedAnd a specific movement task sequence->When the cross operation is performed, the task sequence is moved>、/>All comprising M movement tasks, three non-equal positive integers are randomly generated +.>、/>、/>,/>Get the movement task sequence->Go up the index->To the point ofIs->Index number->To->Is- >The method comprises the steps of carrying out a first treatment on the surface of the Move task sequence->Top and Mobile task segment->、/>The same-position mobile task segment is removed and +.>The rest segments are spliced to obtain a mobile task segment +.>Finally, move task segment->、/>Splice to Mobile task segment->Terminal, get the sequence of movement tasks to be operated +.>Corresponding new movement task sequence->。
Specifically, in the second stage scheduling algorithm, the fitness value of the mobile task sequence:
wherein ,for the total number of cross-zone movement tasks, +.>Is->Start of individual movement tasks, +.>Is->End point of each movement task->Is-> and />Distance of->Is->A number of RGV assigned by each mobile task; />Indicate->The RGV point position set which is required to pass through by the mobile task and the current position of another RGV have intersection or not, if yes, 1 is taken, and if not, 0 is taken;indicate->The union of the RGV point position set required to pass by the mobile task and the RGV current position for executing the i mobile task to the i mobile task starting point is provided with or not with the other RGV current position, wherein the intersection is 1, and the non-intersection is 0; />Indicate->Whether the direction of each mobile task is matched with the relative position of the RGV for executing the ith mobile task or not, taking 1 in a matching way, and taking 0 in a non-matching way; / >Representing execution of +.>Real-time location of RGVs of the individual mobile tasks; />Indicating that no->Real-time location of RGV for each mobile task.
First, theWhether the direction of the ith movement task matches the relative position of the RGV performing the ith movement task means that if the direction of the ith movement task is left, the RGV performing the ith movement task is located on the left side, and otherwise, it is called matching. The relative position of the RGVs may be represented by the numbering of the RGVs.
Compared with the prior art, the invention has the beneficial technical effects that:
the one-rail double-vehicle scheduling method based on the two-stage dynamic partitioning algorithm is innovative in algorithm design, and can improve the optimizing speed and reduce the response time. Specifically, the method is suitable for different layout scenes, can realize global search of solutions, can output a globally optimal scheduling scheme, and avoids invalid movement of RGVs; the two-stage scheduling algorithm is designed for solving, so that the scheduling logic is simple, the calculated amount is small, the output scheduling scheme is fast, the algorithm solving complexity is reduced, the algorithm response rate is improved, and the method is suitable for a short-time large-scale operation mode; dynamic partitioning operation can reduce RGV road leaving distance and invalid moving distance; RGV cross-zone operation is reduced, and RGV parking waiting time can be reduced.
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FIG. 1 is a flow chart of a scheduling method of the present invention.
Detailed Description
A preferred embodiment of the present invention will be described in detail with reference to the accompanying drawings.
The one-rail double-vehicle scheduling method comprises two stages. The movement tasks of the RGV include partition movement tasks and cross-zone movement tasks; the partition moving task refers to a moving task with a starting point and an end point both positioned in the same partition; a cross-zone movement task refers to a movement task in which the start point and the end point are both located in different partitions.
The first stage: and dynamically partitioning according to the starting point and the ending point of each mobile task in the mobile task set, wherein the optimization target is to minimize the time difference of executing the mobile tasks by two RGVs, and outputting the optimal mobile task sequence of the partitioned mobile tasks. The method specifically comprises the following steps:
the starting point and the end point of each mobile task are called RGV point positions; after dividing the track according to a certain RGV point position, naturally forming a left partition and a right partition, and marking the moving tasks with the starting point and the ending point both positioned in the left partition as a left partition moving task setThe moving task with the starting point and the end point both in the right partition is marked as a right partition moving task set +.>. The first stage scheduling algorithm is used for respectively performing the corresponding steps >Mobile task in->The movement tasks of the RGVs are ordered such that the total movement distance of the RGVs is minimized. Then calculates two RGVs to execute +.>Middle movement task and +.>The time difference of the moving task.
After partitioning by different RGV points, repeating the above steps to obtain time difference corresponding to each RGV point, and taking one RGV point with the smallest time difference as the optimal partition pointAnd the moving task sequence of the left partition at this time is +.>As the best movement task sequence for the left partition, the movement task sequence for the right partition is +.>As the best sequence of movement tasks for the right partition.
And a second stage: after the screening of the first stage, the rest mobile tasks all need to cross the set optimal partition point positionsNamely, the tasks are all cross-region moving tasks; thus, when an RGV is performing a movement task at this stage, two RGVs cannot be performed simultaneously, i.e., when one RGV is after performing the allocated movement task, it is required to avoid the movement task beyond the road segment where the other RGV is performing the movement task (e.g., beyond the start point or beyond the end point of the other RGV) so as to ensure that no collision occurs. Specifically, the optimal allocation scheme of the cross-region mobile task is searched through a second-stage scheduling algorithm, so that an optimal mobile task sequence of the cross-region mobile task is obtained, and the optimization target is that the total completion time of all the cross-region mobile tasks is the shortest.
The first stage scheduling algorithm performs two-layer coding on the mobile task sequence, including:
In the first stage scheduling algorithm, the adaptability value of the left partition moving task sequence:
wherein For the total number of left partition move tasks, +.>Moving the total number of tasks for the right partition; />Is->Start of individual movement tasks, +.>Is->End point of each movement task->Is-> and />Is a distance of (3).
The second stage scheduling algorithm performs four-layer coding on the mobile task sequence, including:
wherein ,for the total number of cross-zone movement tasks, +.>Is->Start of individual movement tasks, +.>Is->End point of each movement task->Is-> and />Distance of->Is->A number of RGV assigned by each mobile task; />Indicate->The RGV point position set which is required to pass through by the mobile task and the current position of another RGV have intersection or not, if yes, 1 is taken, and if not, 0 is taken; Indicate->The union of the RGV point position set required to pass by the mobile task and the RGV current position for executing the i mobile task to the i mobile task starting point is provided with or not with the other RGV current position, wherein the intersection is 1, and the non-intersection is 0; />Indicate->Whether the direction of each mobile task is matched with the number of the RGV for executing the ith mobile task or not, taking 1 in a matching way, and taking 0 in a non-matching way; />Representing execution of +.>Real-time location of RGVs of the individual mobile tasks; />Indicating that no->Real-time location of RGV for each mobile task.
First, theWhether the direction of the ith movement task matches the relative position of the RGV performing the ith movement task or not, that is, if the direction of the ith movement task is left, the RGV performing the ith movement task is locatedOn the left, then match is called, otherwise mismatch. The relative position of the RGVs may be represented by the numbering of the RGVs.
Specifically, the mobile task sequence of the left partition is output through a first-stage scheduling algorithmAnd the movement task sequence of the right partition +.>When the method comprises the following steps:
s131: randomly selecting the left partition and the right partition respectivelyA sequence of mobile tasks, calculating left partition +.>The respective fitness value, right partition +. >The respective fitness values of the respective mobile task sequences; in the present embodiment。
S132: respectively selecting from left partition and right partitionCalculating the fitness value corresponding to each moving task sequence by the moving task sequence with the shortest total moving distance, and taking the fitness value of each moving task sequence B as the initial pheromone concentration of any two adjacent moving tasks in the moving task sequence B during ant colony search; in this embodiment +.>。
S133: taking the minimum value of the adaptation degree value of the moving task sequence of the left partition in the step S131 as the individual extremum of the left partitionThe corresponding movement task sequence is +.>The method comprises the steps of carrying out a first treatment on the surface of the Taking the minimum value of the right partition moving task sequence fitness value in the step S131 as the individual extremum +.>The corresponding movement task sequence is +.>The method comprises the steps of carrying out a first treatment on the surface of the Calculating the fitness values of all the mobile task sequences of the left partition and the right partition, and taking the minimum fitness value as the global extremum +.>And global extremum of right partition->Global extremum->The corresponding sequence of movement tasks is marked +.>Global extremum->The corresponding sequence of movement tasks is marked +.>。
S134: the number of iterations t=0 is initialized.
S135: in the left partitionRandomly selecting +.>A plurality of movement tasks are allocated to ∈ >Ants; for->Ant only, will be->The mobile task allocated by ant is placed in the corresponding task sequence solution set to calculate +.>Only ants are moved by the current task->To next movement task->State transition probability>And according to->Acquire next movement task->The movement task is further->Is placed at->Only the task sequence corresponding to ants is concentrated; when the mobile tasks to be ordered are all placed in the task sequence solution set, the +.>Mobile task sequence explored by ants only ∈>The method comprises the steps of carrying out a first treatment on the surface of the Computing the movement task sequence->Is>。
In the right partitionRandomly selecting +.>A plurality of movement tasks are allocated to ∈>Ants; for->Ant only, will be->The mobile task allocated by ant is placed in the corresponding task sequence solution set to calculate +.>Only ants are moved by the current task->To next movement task->State transition probability>And according to->Acquire next movement task->The movement task is further->Is placed at->Only the task sequence corresponding to ants is concentrated; when the mobile tasks to be ordered are all placed in the task sequence solution set, the +.>Mobile task sequence explored by ants only ∈ >The method comprises the steps of carrying out a first treatment on the surface of the Computing the movement task sequence->Is>。
S136, for left partition: moving task sequencesAnd->Performing cross operation to obtain a mobile task sequence,/>And->Performing the cross operation again to obtain a moving task sequence +.>And then (2) to->Performing mutation operation to obtain a mobile task sequence->Calculating the execution movement task sequence->Is>The method comprises the steps of carrying out a first treatment on the surface of the If fitness value->Compared with->Smaller, accept the movement task sequence +.>The method comprises the steps of carrying out a first treatment on the surface of the If fitness value->Compared with->Not get smaller, then->The moving task sequence corresponding to ants only is still。
For the right partition: moving task sequencesAnd->Performing cross operation to obtain a moving task sequence +.>,/>And->Performing the cross operation again to obtain a moving task sequence +.>And then (2) to->Performing mutation operation to obtain a mobile task sequence->Calculating the execution movement task sequence->Is>The method comprises the steps of carrying out a first treatment on the surface of the If fitness value->Compared with->Smaller, accept the movement task sequence +.>The method comprises the steps of carrying out a first treatment on the surface of the If fitness value->Compared with->Not get smaller, then->The moving task sequence corresponding to ants only is still。
S137: after the moving task sequences of all ants in the left partition and the moving task sequences of all ants in the right partition are obtained, individual extremum values of ant colony in the left partition and the right partition are obtained、/>Individual pole Value-corresponding mobile task sequence、/>Global extremum->、/>A mobile task sequence corresponding to the global extremum +.>、And updating.
S138: iterative equation by ant colony pheromoneUpdating the information concentration of the track; /> and />Representing the movement task +.for the t-th and t+1-th iterations, respectively>To move task->Pheromone concentration,/->Representing pheromone volatilization factors; />For the t-th iteration, move task +.>To move task->New pheromone concentration; the number of iterations t=t+1.
S139: repeating steps S135 to S138 until the number of repetitions reaches the set maximum number of iterations。
S1310: taking the moving task sequence corresponding to the individual extremum of the left partition as the optimal moving task sequence of the left partition; and taking the moving task sequence corresponding to the individual extremum of the right partition as the optimal moving task sequence of the right partition.
Wherein the state transition probability,/>Indicate->Ant only from the movement task->A set of mobile tasks that can be accessed; />Representing the slave movement task->To move task->Is>Visibility of (i.e.)>,/>Representing movement task->Starting point to move task->Is the distance of the end point of (2); />Representing the relative importance of the track; />Indicating the relative importance of visibility.
In the first stage scheduling algorithm, a sequence of mobile tasks to be operated And a specific movement task sequence->When the cross operation is performed, the task sequence is moved>、/>Each comprising M mobile tasks; randomly generating two non-equal positive integers +.>、/>,/>Get the movement task sequence->The upper index is +.>To->Between mobile task segments->Move task sequence->Go up and->The movement task segment at the same position is removed and +.>Splicing the rest mobile task fragments to obtain a mobile task fragment +.>Finally, move task segment->Splice to Mobile task segment->Terminal, and thus get the sequence of tasks with movement +.>Corresponding new movement task sequence->。
In the first stage scheduling algorithm, a sequence of mobile tasks to be operatedWhen mutation operation is performed, the task sequence is moved>、/>Each comprising M mobile tasks; randomly growTwo unequal positive integers +.>、/>,/>Will->Index +.> and />Transposition is performed on the two mobile tasks of (2) to obtain AND +.>Corresponding new movement task sequence->。
The second stage scheduling algorithm based on the improved simulated annealing algorithm specifically comprises the following steps:
s21, initializing parameters of a second-stage scheduling algorithm: setting an initial temperatureStop temperature->Temperature decay Rate->Probability of mutation->The method comprises the steps of carrying out a first treatment on the surface of the Setting the number of internal cycles per unit temperature +. >The method comprises the steps of carrying out a first treatment on the surface of the Setting the current temperature +.>;
S22: randomly distributing to-be-sequenced cross-region mobile tasks to twoObtaining an initial solution; solving, namely a moving task sequence of a cross-region moving task;
s23: judging the current temperatureWhether or not is greater than->The method comprises the steps of carrying out a first treatment on the surface of the If yes, go to step S24, if no, go to step S210;
s24: constructing four ways of searching the neighborhood solution, and searching the neighborhood solution for the initial solution according to the ways of executing the four ways of searching the neighborhood solution with equal probability according to the internal circulation times LL at the preset unit temperature; then according to the settingThe rule judges to reserve new solutions or old solutions, and a plurality of solutions obtained through internal circulation at the current temperature are obtained;
s25: obtaining a plurality of solutions through internal circulation at the current temperature, calculating respective fitness values, taking two solutions with the minimum fitness values for performing cross operation, and calculating the fitness values of new solutions obtained after the cross operation; judging whether the fitness value of the new solution is smaller than the minimum fitness value of each solution at the current temperature, if so, taking the new solution as the optimal solution at the current temperature; if not, taking the solution with the minimum fitness value at the current temperature as the optimal solution at the current temperature;
s26: performing cross operation on the optimal solution at the current temperature and the optimal solution at the previous temperature, calculating the fitness value of the new solution after the cross, judging whether the fitness value of the new solution is smaller than the fitness value of the optimal solution at the current temperature, and if so, taking the new solution as the optimal solution at the current temperature; if not, keeping the optimal solution at the current temperature unchanged;
S27: taking outThe optimal solution at the current temperature is according to the set variation probabilityExecuting the mutation operation, calculating the fitness value of the new solution after executing the mutation operation, judging whether the fitness value of the new solution is smaller than the fitness value of the optimal solution at the current temperature, and if so, taking the new solution as the optimal solution at the current temperature; if not, keeping the optimal solution at the current temperature unchanged;
s28: judging whether the fitness value of the optimal solution at the current temperature is smaller than that of the optimal solution at the previous temperature, if so, keeping the optimal solution at the current temperature as a final optimal solution; if not, taking the optimal solution at the previous temperature as the optimal solution finally obtained at the current temperature;
s29: performing a cooling process, i.e.Jumping to the step S24, and taking the optimal solution finally obtained at the current temperature as the initial solution in the step S24;
s210: for the current temperatureAnd decoding the finally obtained optimal solution to obtain an optimal movement task sequence of the transregional movement task.
The set Metropolis rule is as follows:a sequence of mobile tasks representing an old solution, +.>A sequence of mobile tasks representing a new solution, +.>A sequence of mobile tasks representing the current solution, +.>Fitness value representing old solution, +. >Fitness value representing the new solution, +.>An fitness value representing a current solution; according to the calculation mode of fitness value function, find +.> and />Difference>I.e. +.>The method comprises the steps of carrying out a first treatment on the surface of the If->Then accept the new solution, i.e. the current solution +.>,/>The method comprises the steps of carrying out a first treatment on the surface of the If condition A is satisfied, a new solution is accepted, i.e.)>,/>The method comprises the steps of carrying out a first treatment on the surface of the If the condition A is not satisfied, the old solution is retained, i.e. +.>,The method comprises the steps of carrying out a first treatment on the surface of the Wherein condition a is: />And->,/>Representing random numbers uniformly distributed within the interval (0, 1).
When the second stage scheduling algorithm performs the cross operation: mobile task sequence to be operatedAnd a specific movement task sequence->When the cross operation is performed, the task sequence is moved>、/>All comprising M movement tasks, three non-equal positive integers are randomly generated +.>、/>、/>,/>Get the movement task sequence->Go up the index->To->Is->Index number->To->Is->The method comprises the steps of carrying out a first treatment on the surface of the Move task sequence->Top and Mobile task segment->、The same-position mobile task segment is removed and +.>The rest segments are spliced to obtain a mobile task segment +.>Finally, move task segment->、/>Splice to Mobile task segment->Terminal, get the sequence of movement tasks to be operated +.>Corresponding new movement task sequence->。
When the mutation operation is carried out in the second stage scheduling algorithm: with a sequence of mobile tasks For example, two non-equal positive integers +.>、/>Moving task sequence->Comprising M mobile tasks->,/>Index as、/>Is transposed by the mobile task of (2) and +.>The coding of the third layer of (2) is modified, i.e./i>The RGV number of (2) is replaced by the number of another RGV, thereby obtaining a new movement task sequence +.>。
The invention adopts a two-stage scheduling algorithm to carry out staged processing on the NP-hard problem with higher complexity (the problem that all NP problems can be reduced in the polynomial time complexity), is suitable for dynamic partition and improves the effect. The two stages design a coding mode, a fitness function and an adaptive algorithm to solve. The method is suitable for dynamic partitioning of various layout scenes, and does not need to be customized and developed for different layout scenes. The utilization rate of the two RGVs is more balanced, and the occurrence of an over-busy or over-idle state of the RGVs is avoided.
The flow of the two-stage scheduling algorithm of the invention is shown in figure 1.
It will be evident to those skilled in the art that the invention is not limited to the details of the foregoing illustrative embodiments, and that the present invention may be embodied in other specific forms without departing from the spirit or essential characteristics thereof. The present embodiments are therefore to be considered in all respects as illustrative and not restrictive, the scope of the invention being indicated by the appended claims rather than by the foregoing description, and all changes which come within the meaning and range of equivalency of the claims are therefore intended to be embraced therein.
Furthermore, it should be understood that although the present disclosure describes embodiments, not every embodiment is provided with a single embodiment, and that this description is provided for clarity only, and that the disclosure is not limited to specific embodiments, and that the embodiments may be combined appropriately to form other embodiments that will be understood by those skilled in the art.
Claims (10)
1. A one-rail double-vehicle scheduling method based on a two-stage dynamic partitioning algorithm is used for optimizing the total time of moving tasks of two RGVs on the same track and outputting a corresponding optimal moving task sequence; the sequence of the mobile tasks is the execution sequence of the mobile tasks; the one-rail double-vehicle scheduling method comprises the following steps:
s1, partitioning a mobile task, wherein an optimization target is to minimize the execution time difference of a mobile task set of two partitions, and the execution sequence of the mobile task of the two partitions is determined; the starting point and the end point of each mobile task are called RGV point positions, and specifically include:
s11: according to a certain RGV point positionDividing the track to form a left partition and a right partition>Representing a set of all RGV points; the moving task whose starting point and end point are both located in the left partition is marked as a moving task set +. >The method comprises the steps of carrying out a first treatment on the surface of the The mobile task whose starting point and end point are both located in the right partition is marked as the mobile task set +.>;
S12: by first-stage scheduling algorithm pair based on ant colony-genetic-particle swarm algorithm and />The mobile tasks in the left partition are sequenced and the mobile task sequences of the left partition are respectively output>And the movement task sequence of the right partition +.>,/> and />Respectively make and />The total moving distance of the middle moving task is shortest;
s13: calculating current RGV point positions respectivelyCorresponding-> and />Execution time of-> and />Calculating an execution time difference;
S14: repeating steps S11 to S13 until completionSelecting all RGV points; selecting the smallest execution time differenceThe corresponding RGV-bit is taken as the optimal partition-bit +.>And the smallest execution time difference +.>Corresponding-> and />Respectively used as the optimal moving task sequence of the left partition and the optimal moving task sequence of the right partition;
s2, obtaining an optimal moving task sequence of the cross-region moving task through a second-stage scheduling algorithm based on an improved simulated annealing algorithm; wherein the cross-zone movementThe starting point and the end point of the task are respectively positioned at the optimal partition point positionsA movement task on both sides; when the second stage scheduling algorithm is executed, only one RGV can execute the mobile task at the same time, and the RGV which does not execute the mobile task is avoided from being out of the mobile area of the RGV which executes the mobile task.
2. The two-stage dynamic partitioning algorithm based one-rail two-vehicle scheduling method as set forth in claim 1, wherein: in step S12, the moving task sequence of the left partition is output by the first stage scheduling algorithm based on the ant colony-genetic-particle swarm algorithmAnd the movement task sequence of the right partition +.>When the method comprises the following steps:
s131: randomly selecting the left partition and the right partition respectivelyA sequence of mobile tasks, calculating left partition +.>The respective fitness value, right partition +.>The respective fitness values of the respective mobile task sequences;
s132: respectively selecting from left partition and right partitionA moving task sequence B with the shortest total moving distance,calculate eachThe fitness value corresponding to the moving task sequence takes the fitness value of each moving task sequence B as the initial pheromone concentration of any two adjacent moving tasks in the moving task sequence B during ant colony search;
s133: taking the minimum value of the adaptation degree value of the moving task sequence of the left partition in the step S131 as the individual extremum of the left partitionThe corresponding movement task sequence is +.>The method comprises the steps of carrying out a first treatment on the surface of the Taking the minimum value of the right partition moving task sequence fitness value in the step S131 as the individual extremum +. >The corresponding movement task sequence is +.>The method comprises the steps of carrying out a first treatment on the surface of the Calculating the fitness values of all the mobile task sequences of the left partition and the right partition, and taking the minimum fitness value as the global extremum +.>And global extremum of right partition->Global extremum->The corresponding sequence of movement tasks is marked +.>Global extremumThe corresponding sequence of movement tasks is marked +.>;
S134: initializing the iteration times t=0;
s135: in the left partitionRandomly selecting +.>A plurality of movement tasks are allocated to ∈>Ants; for->Ant only, will be->The mobile task allocated by ant is placed in the corresponding task sequence solution set to calculate +.>Only ants are moved by the current task->To next movement task->State transition probability>And according to->Acquire next movement task->The movement task is further->Is placed at->Only the task sequence corresponding to ants is concentrated; when the mobile tasks to be ordered are all placed in the task sequence solution set, the +.>Mobile task sequence explored by ants only ∈>The method comprises the steps of carrying out a first treatment on the surface of the Computing the movement task sequence->Is>;
In the right partitionRandomly selecting +.>A plurality of movement tasks are allocated to ∈>Ants; for- >Ant only, will be->The mobile task allocated by ant is placed in the corresponding task sequence solution set to calculate +.>Only ants are moved by the current task->To next movement task->State transition probability>And according to->Acquire next movement task->The movement task is further->Is placed at->Only the task sequence corresponding to ants is concentrated; when the mobile tasks to be ordered are all placed in the task sequence solution set, the +.>Mobile task sequence explored by ants only ∈>The method comprises the steps of carrying out a first treatment on the surface of the Computing the movement task sequence->Is>;
S136, for left partition: moving task sequencesAnd->Performing cross operation to obtain a moving task sequence +.>,/>And->Performing the cross operation again to obtain a moving task sequence +.>And then (2) to->Performing mutation operation to obtain a mobile task sequence->Calculating the execution movement task sequence->Is>The method comprises the steps of carrying out a first treatment on the surface of the If fitness value->Compared with->Smaller, accept the movement task sequence +.>The method comprises the steps of carrying out a first treatment on the surface of the If fitness value->Compared with->Not get smaller, then->The corresponding moving task sequence of ants is still +.>;
For the right partition: moving task sequencesAnd->Performing cross operation to obtain a moving task sequence +.>,/>And (3) withPerforming the cross operation again to obtain a moving task sequence +.>And then (2) to- >Performing mutation operation to obtain a mobile task sequence->Calculating the execution movement task sequence->Is>The method comprises the steps of carrying out a first treatment on the surface of the If the fitness value/>Compared with->Smaller, accept the movement task sequence +.>The method comprises the steps of carrying out a first treatment on the surface of the If fitness value->Compared with->Not get smaller, then->The corresponding moving task sequence of ants is still +.>;
S137: after the moving task sequences of all ants in the left partition and the moving task sequences of all ants in the right partition are obtained, individual extremum values of ant colony in the left partition and the right partition are obtained、/>A movement task sequence corresponding to the extremum of the individual +.>、Global extremum->、/>A mobile task sequence corresponding to the global extremum +.>、/>Updating;
s138: iterative equation by ant colony pheromoneUpdating the information concentration between the mobile tasks; /> and />Representing the movement task +.for the t-th and t+1-th iterations, respectively>To move task->Pheromone concentration,/->Representing pheromone volatilization factors; />For the t-th iteration, move task +.>To move task->New pheromone concentration; the number of iterations t=t+1;
s139: repeating steps S135 to S138, until the repetition number reaches the set maximum iteration number;
S1310: taking the moving task sequence corresponding to the individual extremum of the left partition as the optimal moving task sequence of the left partition; and taking the moving task sequence corresponding to the individual extremum of the right partition as the optimal moving task sequence of the right partition.
3. The two-stage dynamic partitioning algorithm based one-rail two-vehicle scheduling method as set forth in claim 2, wherein: probability of state transition,/>Indicate->Ant only from the movement task->A set of mobile tasks that can be accessed; />Representing the slave movement task->To move task->Is>Visibility of (i.e.)>,/>Representing movement task->Starting point to move task->Is the distance of the end point of (2); />Representing the relative importance of the track; />Indicating the relative importance of visibility.
4. The two-stage dynamic partitioning algorithm based one-rail two-vehicle scheduling method as set forth in claim 2, wherein: in step S13, a sequence of mobile tasks to be operatedAnd a specific movement task sequence->When the cross operation is performed, the task sequence is moved>、/>Each comprising M mobile tasks; randomly generating two non-equal positive integers +.>、/>,/>Get the movement task sequence->The upper index is +.>To->Between mobile task segments->Move task sequence->Go up and->The movement task segment at the same position is removed and +.>The rest mobile task segments are spliced to obtain the mobile task segmentsFinally, move task segment->Splice to Mobile task segment->Terminal, and thus get the sequence of tasks with movement +. >Corresponding new movement task sequence->。
5. The two-stage dynamic partitioning algorithm based one-rail two-vehicle scheduling method as set forth in claim 2, wherein: in step S13, a sequence of mobile tasks to be operatedWhen mutation operation is performed, the task sequence is moved>、/>All comprising M movement tasks, randomly generating two unequal positive integers +.>、/>,/>Will->Index +.> and />Transposition is performed on the two mobile tasks of (2) to obtain AND +.>Corresponding new movement task sequence->。
6. According to claim 2The one-rail double-vehicle scheduling method based on the two-stage dynamic partitioning algorithm is characterized by comprising the following steps of: in step S13, the adaptability value of the left partition movement task sequenceThe method comprises the following steps:
wherein Moving the total number of tasks for the left partition; />Is->Start of individual movement tasks, +.>Is->End point of each movement task->Is-> and />Is a distance of (2);
7. The two-stage dynamic partitioning algorithm-based one-rail two-vehicle scheduling method as set forth in claim 1, wherein the second stage scheduling algorithm based on the improved simulated annealing algorithm specifically includes the steps of:
S21, initializing parameters of a second-stage scheduling algorithm: setting an initial temperatureStop temperature->Temperature decay Rate->Probability of mutation->The method comprises the steps of carrying out a first treatment on the surface of the Setting the number of internal cycles per unit temperature +.>The method comprises the steps of carrying out a first treatment on the surface of the Setting the current temperature +.>;
S22: randomly distributing to-be-sequenced cross-region mobile tasks to twoObtaining an initial solution; solving, namely a moving task sequence of a cross-region moving task;
s23: judging the current temperatureWhether or not is greater than->The method comprises the steps of carrying out a first treatment on the surface of the If yes, go to step S24, if no, go to step S210;
s24: constructing four ways of searching the neighborhood solution, and searching the neighborhood solution for the initial solution according to the ways of executing the four ways of searching the neighborhood solution with equal probability according to the internal circulation times LL at the preset unit temperature; then according to the settingThe rule judges to reserve new solutions or old solutions, and a plurality of solutions obtained through internal circulation at the current temperature are obtained;
s25: obtaining a plurality of solutions through internal circulation at the current temperature, calculating respective fitness values, taking two solutions with the minimum fitness values for performing cross operation, and calculating the fitness values of new solutions obtained after the cross operation; judging whether the fitness value of the new solution is smaller than the minimum fitness value of each solution at the current temperature, if so, taking the new solution as the optimal solution at the current temperature; if not, taking the solution with the minimum fitness value at the current temperature as the optimal solution at the current temperature;
S26: performing cross operation on the optimal solution at the current temperature and the optimal solution at the previous temperature, calculating the fitness value of the new solution after the cross, judging whether the fitness value of the new solution is smaller than the fitness value of the optimal solution at the current temperature, and if so, taking the new solution as the optimal solution at the current temperature; if not, keeping the optimal solution at the current temperature unchanged;
s27: taking the optimal solution at the current temperature, and according to the set variation probabilityExecuting the mutation operation, calculating the fitness value of the new solution after executing the mutation operation, judging whether the fitness value of the new solution is smaller than the fitness value of the optimal solution at the current temperature, and if so, taking the new solution as the optimal solution at the current temperature; if not, keeping the optimal solution at the current temperature unchanged;
s28: judging whether the fitness value of the optimal solution at the current temperature is smaller than that of the optimal solution at the previous temperature, if so, keeping the optimal solution at the current temperature as a final optimal solution; if not, taking the optimal solution at the previous temperature as the optimal solution finally obtained at the current temperature;
s29: performing a cooling process, i.e.Jumping to the step S24, and taking the optimal solution finally obtained at the current temperature as the initial solution in the step S24;
8. The two-stage dynamic partitioning algorithm based one-rail two-vehicle scheduling method as set forth in claim 7, wherein the set metapolis rule is:a sequence of mobile tasks representing an old solution, +.>A sequence of mobile tasks representing a new solution, +.>A sequence of mobile tasks representing the current solution, +.>Fitness value representing old solution, +.>Fitness value representing the new solution, +.>Indicating the suitability of the current solutionA fitness value; according to the calculation mode of fitness value function, find +.> and />Difference>I.e.The method comprises the steps of carrying out a first treatment on the surface of the If->Then accept the new solution, i.e. the current solution +.>,/>The method comprises the steps of carrying out a first treatment on the surface of the If condition A is satisfied, a new solution is accepted, i.e.)>,/>The method comprises the steps of carrying out a first treatment on the surface of the If the condition A is not satisfied, the old solution is retained, i.e. +.>,/>The method comprises the steps of carrying out a first treatment on the surface of the Wherein condition a is: />And->,/>Representing random numbers uniformly distributed within the interval (0, 1).
9. The two-stage dynamic partitioning algorithm-based one-rail two-vehicle scheduling method as set forth in claim 1, wherein when the cross operation is performed in the second stage scheduling algorithm: mobile task sequence to be operatedAnd a specific sequence of mobile tasksWhen the cross operation is performed, the task sequence is moved >、/>All comprising M movement tasks, three non-equal positive integers are randomly generated +.>、/>、/>,/>Get the movement task sequence->Go up the index->To->Mobile task segment of (a)Index number->To->Is->The method comprises the steps of carrying out a first treatment on the surface of the Move task sequence->Top and Mobile task segment->、/>The same-position mobile task segment is removed and +.>The rest segments are spliced to obtain a mobile task segment +.>Finally, move task segment->、/>Splice to Mobile task segment->Terminal, get the sequence of movement tasks to be operated +.>Corresponding new movement task sequence->。
10. The two-stage dynamic partitioning algorithm based one-rail two-vehicle scheduling method as set forth in claim 7, wherein in the second stage scheduling algorithm, the fitness value of the moving task sequence is:
wherein ,for the total number of cross-zone movement tasks, +.>Is->Start of individual movement tasks, +.>Is->End point of each movement task->Is-> and />Distance of->Is->A number of RGV assigned by each mobile task; />Indicate->The RGV point position set which is required to pass through by the mobile task and the current position of another RGV have intersection or not, if yes, 1 is taken, and if not, 0 is taken; />Indicate->The union of the RGV point position set required to pass by the mobile task and the RGV current position for executing the i mobile task to the i mobile task starting point is provided with or not with the other RGV current position, wherein the intersection is 1, and the non-intersection is 0; Indicate->Whether the direction of each mobile task is matched with the relative position of the RGV for executing the ith mobile task or not, taking 1 in a matching way, and taking 0 in a non-matching way; />Representing execution of +.>Real-time location of RGVs of the individual mobile tasks; />Indicating that no->Real-time location of RGV for each mobile task.
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