CN114781746B - Multi-layer AGV parking garage based multi-picking task optimization method - Google Patents

Multi-layer AGV parking garage based multi-picking task optimization method Download PDF

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CN114781746B
CN114781746B CN202210499104.6A CN202210499104A CN114781746B CN 114781746 B CN114781746 B CN 114781746B CN 202210499104 A CN202210499104 A CN 202210499104A CN 114781746 B CN114781746 B CN 114781746B
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agv
parking
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task
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CN114781746A (en
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林景栋
王昶
李鸿威
张静曦
熊大略
张珂卿
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Chongqing University
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06QINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
    • G06Q10/00Administration; Management
    • G06Q10/04Forecasting or optimisation specially adapted for administrative or management purposes, e.g. linear programming or "cutting stock problem"
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06NCOMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
    • G06N3/00Computing arrangements based on biological models
    • G06N3/12Computing arrangements based on biological models using genetic models
    • G06N3/126Evolutionary algorithms, e.g. genetic algorithms or genetic programming
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06QINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
    • G06Q10/00Administration; Management
    • G06Q10/06Resources, workflows, human or project management; Enterprise or organisation planning; Enterprise or organisation modelling
    • G06Q10/063Operations research, analysis or management
    • G06Q10/0631Resource planning, allocation, distributing or scheduling for enterprises or organisations
    • G06Q10/06312Adjustment or analysis of established resource schedule, e.g. resource or task levelling, or dynamic rescheduling
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06QINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
    • G06Q10/00Administration; Management
    • G06Q10/06Resources, workflows, human or project management; Enterprise or organisation planning; Enterprise or organisation modelling
    • G06Q10/063Operations research, analysis or management
    • G06Q10/0631Resource planning, allocation, distributing or scheduling for enterprises or organisations
    • G06Q10/06313Resource planning in a project environment

Abstract

The invention relates to an optimization method for multi-vehicle taking tasks based on a multi-layer AGV parking garage, and belongs to the field of intelligent parking. The method specifically comprises the following steps: 1) According to the parking and taking process of the multi-layer AGV parking and taking system, establishing a motion model of the AGV and the elevator; 2) Establishing a semi-open loop queuing network model of a parking and taking system of the multi-layer AGV parking garage; 3) Solving task completion time functions of the multi-layer AGV parking garage parking and taking system under different conditions; 4) An order of execution of the batch pick-up orders is determined based on the improved genetic algorithm. The invention can optimize the order delivery sequence of the system task order by improving the genetic algorithm, reduce the waiting time among the operation ring joints, reduce the times of the cross-roadway operation, improve the operation efficiency of the multi-layer AGV parking and taking system and reduce the time required for executing the task.

Description

Multi-layer AGV parking garage based multi-picking task optimization method
Technical Field
The invention belongs to the field of intelligent parking, and relates to an optimization method for multi-vehicle taking tasks based on a multi-layer AGV parking garage.
Background
A multi-deck AGV parking garage system belongs to one of automatic access trolley systems (Autonomous vehicle storage AND RETRIEVAL SYSTEMS, AVS/RS). Unlike conventional automated access systems (Autonomous storage AND RETRIEVAL SYSTEMS, AS/RS) in which containers can be moved in a plane and cross-floor by shelves, the vehicles of the multi-floor AGV parking system move in the same floor by AGVs, and the cross-floor movement requires the use of elevators at the ends of the aisles to perform the cross-floor operation.
According to different working modes of the cross-layer elevator of the automatic car access system, AVS/RS is classified: layer-to-layer AVS/RS (tier to tier AVS/RS) and layer-based AVS/RS (TIER CAPTIVE AVS/RS). Layer-to-layer AVS/RS requires an elevator to carry an AGV to complete the movement between floors; based on the AVS/RS of layer, accomplish the handing-over between cross-floor elevator and AGV at the floor that AGV is located, the elevator only carries the goods promptly, and every floor all need be equipped with the AGV and accomplish the access task of this floor.
Unlike single-target scheduling, multi-target scheduling of AGVs is a complex combination process. In practical application, two time periods with highest order arrival rate of the parking garage are working and off working time periods respectively, and orders in the two time periods show the characteristics of dense parking and dense vehicle taking. According to the vehicle taking operation flow in fig. 1, for batch vehicle taking orders, the situations of cross-tunnel operation and cross-floor operation of the AGV during operation are unavoidable. Therefore, how to effectively avoid the occurrence of the situation is one difficulty of the multi-layer AGV parking garage multi-picking task.
Disclosure of Invention
In view of the above, the invention aims to provide an optimization method for multi-car taking tasks based on a multi-layer AGV parking garage. According to the motion model of AGVs and elevators established in the parking process of the multi-layer AGV parking system, the semi-open loop queuing network model of the multi-layer AGV parking garage parking system constructed on the basis is researched, partial cross matching in a genetic algorithm is improved, the execution sequence of batch vehicle taking orders is determined by using the improved genetic algorithm, waiting time among all loops is reduced, the number of times of roadway crossing operation is reduced, the operation efficiency of the multi-layer AGV parking system is improved, and the time required for executing tasks is reduced.
In order to achieve the above purpose, the present invention provides the following technical solutions:
A multi-layer AGV parking garage based multi-picking task optimization method comprises the following steps:
S1: according to the parking and taking process of the multi-layer AGV parking and taking system, a motion model of the AGV and an elevator is established:
the time required for the AGV to pass from column i to column j:
the time required for AGVs to pass from the ith lane to the jth lane:
The time required for the elevator from the i-th floor to the j-th floor:
Wherein C m is the number of columns that the AGV needs to pass when accelerating to maximum speed; c is the total number of parking lots; a v is AGV acceleration; v v is the maximum speed of the AGV; l is the length of each parking space; w is the width of each roadway; w is the width of each parking space; a is the total roadway number of the parking garage; a m is the number of lanes that the AGV needs to pass when accelerating to maximum speed; h is the height of each floor; l is the total layer number of the parking garage, and L m is the layer number required by the elevator to accelerate to the maximum speed; a l is the elevator acceleration; v l is the maximum speed of the elevator;
S2: according to the motion model of the AGVs and the elevators in the S1, a semi-open loop queuing network model of a parking and taking system of the multi-layer AGV parking garage is established;
S3: solving a task completion time function of a parking and taking system of the multi-layer AGV parking garage at a vehicle taking position;
S4: an order of execution of the batch pick-up orders is determined based on the improved genetic algorithm.
Optionally, in S4, determining the execution sequence of the batch pick-up order according to the improved genetic algorithm, and the specific steps include:
s41: initializing parking space parameters of a multi-layer AGV parking garage system, parking and taking task queues, elevator motion model parameters, AGV motion model parameters, randomly initializing a chromosome task sequence, and setting iteration times;
s42: calculating an fitness function of the population scale according to the time function in the step S3;
s43: selecting an excellent parent chromosome by adopting a competitive game selection and proportion-based fitness distribution method;
s44: crossing by adopting IPMX strategies with a certain crossing probability Pc to generate excellent offspring chromosomes;
S45: carrying out random 2-point mutation operation according to a certain mutation probability Pm;
S46: if the iteration times are less than T, jumping to S42 for continuous execution, if the iteration times are more than or equal to T, stopping iteration, and returning to the chromosome gene coding combination, namely the optimal order task sequence matrix;
S47: and distributing the execution sequence of the optimal task order of each AGV according to the mapping relation between the optimal order task sequence matrix and the AGVs.
Optionally, in the step S44, crossing is performed with a IPMX strategy with a certain crossing probability Pc, so as to generate excellent offspring chromosomes, which specifically includes:
S441: setting the chromosome gene sequences of the two father generation as p1 and p2;
s442: performing gene exchange on the parent gene by using exchange mutation operation and insertion compiling operation;
s443: establishing a gene exchange matrix Ge by using exchange information;
s444: mapping a gene state matrix Go1 and a dominant vector matrix Go2 according to the gene exchange matrix Ge:
Go1(1,Ge(i,1))=Ge(i,2)
Go2(1,Ge(i,2))=Ge(i,1)
s445: from Go1 and Go2, the gene status matrices Gp1 and Gp2 are determined;
S446: combining the gene state matrices Gp1 and Gp2 to Gp, i.e., gp=gp1+gp2;
s447: solving a variable gene G v=find(Gp (1,:1);
s448: s443 to S447 are repeated until the number of iterations is reached.
Optionally, in S442, the parent gene is subjected to gene exchange by using an exchange mutation operation and an insertion mutation operation, specifically:
s4421: the crossover mutation operation is as follows: the exchange positions a, b are generated using a random function, expressed as:
a=rand()%n
b=rand()%n
Swap=(a,b),a≠b
Wherein: a is the position number of the mutation of the gene, b is the other position number exchanged with the gene, n is the number of total tasks, and Swap represents the transformation operation;
s4422: the insertion mutation procedure was as follows: the insertion position d is generated using a random function, expressed as:
d=rand()%n
Insert=(c,d),c≠d
Wherein: c is the number of mutated gene positions, d is the number of inserted target positions, n is the number of total tasks, and Insert represents the insertion mutation operation.
The invention has the beneficial effects that:
(1) And the improved genetic algorithm is used for determining the execution sequence of the batch vehicle taking orders, so that the waiting time among the links is reduced, the number of times of cross-roadway operation is reduced, the operation efficiency of the multi-layer AGV vehicle stopping and taking system is improved, and the time required for executing tasks is reduced.
(2) The method can effectively solve the problem of optimizing order sequence arrangement under the condition that the multi-layer AGV parking garage system takes the dense orders.
Additional advantages, objects, and features of the invention will be set forth in part in the description which follows and in part will become apparent to those having ordinary skill in the art upon examination of the following or may be learned from practice of the invention. The objects and other advantages of the invention may be realized and obtained by means of the instrumentalities and combinations particularly pointed out in the specification.
Drawings
For the purpose of making the objects, technical solutions and advantages of the present invention more apparent, the present invention will be described in the following preferred detail with reference to the accompanying drawings, in which:
FIG. 1 is a flow chart of the present invention;
FIG. 2 is a flow chart of the multi-level AGV parking garage system pick-up operation;
FIG. 3 is a diagram of a semi-open loop queuing network model of an AGV system in a batch job scenario;
FIG. 4 is a gene exchange variation map;
FIG. 5 is a diagram showing the variation of gene insertion.
Detailed Description
Other advantages and effects of the present invention will become apparent to those skilled in the art from the following disclosure, which describes the embodiments of the present invention with reference to specific examples. The invention may be practiced or carried out in other embodiments that depart from the specific details, and the details of the present description may be modified or varied from the spirit and scope of the present invention. It should be noted that the illustrations provided in the following embodiments merely illustrate the basic idea of the present invention by way of illustration, and the following embodiments and features in the embodiments may be combined with each other without conflict.
Wherein the drawings are for illustrative purposes only and are shown in schematic, non-physical, and not intended to limit the invention; for the purpose of better illustrating embodiments of the invention, certain elements of the drawings may be omitted, enlarged or reduced and do not represent the size of the actual product; it will be appreciated by those skilled in the art that certain well-known structures in the drawings and descriptions thereof may be omitted.
The same or similar reference numbers in the drawings of embodiments of the invention correspond to the same or similar components; in the description of the present invention, it should be understood that, if there are terms such as "upper", "lower", "left", "right", "front", "rear", etc., that indicate an azimuth or a positional relationship based on the azimuth or the positional relationship shown in the drawings, it is only for convenience of describing the present invention and simplifying the description, but not for indicating or suggesting that the referred device or element must have a specific azimuth, be constructed and operated in a specific azimuth, so that the terms describing the positional relationship in the drawings are merely for exemplary illustration and should not be construed as limiting the present invention, and that the specific meaning of the above terms may be understood by those of ordinary skill in the art according to the specific circumstances.
The aim of the invention is achieved by the technical proposal, as shown in figure 1, comprising the following specific steps:
S1: according to the parking and taking process of the multi-layer AGV parking and taking system, as shown in fig. 2, a motion model of the AGV and the elevator is established:
the time required for the AGV to pass from column i to column j:
the time required for AGVs to pass from the ith lane to the jth lane:
The time required for the elevator from the i-th floor to the j-th floor:
Wherein C m is the number of columns that the AGV needs to pass when accelerating to maximum speed; c is the total number of parking lots; a v is AGV acceleration; v v is the maximum speed of the AGV; l is the length of each parking space; w is the width of each roadway; w is the width of each parking space; a is the total roadway number of the parking garage; a m is the number of lanes that the AGV needs to pass when accelerating to maximum speed; h is the height of each floor; l is the total layer number of the parking garage, and L m is the layer number required by the elevator to accelerate to the maximum speed; a l is the elevator acceleration; v l is the maximum speed of the elevator.
S2: the semi-open loop queuing network model of the multi-layer AGV parking garage parking system is established as shown in FIG. 3, and the average service time of the first service node is as follows:
The average service time of the second service node system is as follows:
Wherein T vti is the average service time (i=1, 2, …) of the first service node under the ith parking scenario job; t lti is the average service time (i=1, 2, …) of the second service node under the ith parking scenario job; t vqj is the average service time (j=1, 2, …) of the first service node under the j-th pick-up scenario job; t lqj is the average service time (j=1, 2, …) of the second service node under the j-th pick-up scenario job; p ti is the i-th parking job scene occurrence probability (i=1, 2 …); p qj is the j-th pick-up job scene occurrence probability (j=1, 2 …);
S3: and (3) solving a task completion time function of the multi-layer AGV parking garage parking and taking system at a vehicle taking position by using the models in S1 and S2, wherein C max is the maximum completion time of all the vehicle taking tasks, and the function model is as follows:
xi'ih+xi'ih≤1,i=1,...,n,h=1,...,m
Cmax=max Ci=max{Si+Qih+Pih}
s i is the starting time of the vehicle taking task i; c i is the completion time of the vehicle taking task i; p ih is the time consumed by the AGV to complete the task under the matching condition of the vehicle taking task i and the Ah; q ih is the time consumed by the elevator to complete the task under the condition that the vehicle taking task i is matched with Lh; z ih is a 0-1 decision variable; y ih is a 0-1 decision variable; x i'ih is a 0-1 decision variable, if the picking-up task i 'and i are executed by the same AGV, and the task i' is located at a position immediately before the task i; x ii'h is a 0-1 decision variable, if the picking tasks i 'and i are executed by the same AGV, and the task i' is positioned at a position after the task i is tightly acquired, and m is the number of the total AGVs;
S4: an order of execution of the batch pick-up orders is determined based on the improved genetic algorithm.
In step S4, the execution sequence of the batch pick-up orders is determined according to the improved genetic algorithm, and the specific steps are as follows:
s41: initializing parking space parameters of a multi-layer AGV parking garage system, parking and taking task queues, elevator motion model parameters, AGV motion model parameters, randomly initializing a chromosome task sequence, and setting iteration times;
s42: calculating an fitness function of the population scale according to the task completion time function in the step S3, wherein the fitness function is expressed as follows:
s43: selecting an excellent parent chromosome by adopting a competitive game selection and proportion-based fitness distribution method;
s44: crossing by adopting IPMX strategies with a certain crossing probability Pc to generate excellent offspring chromosomes;
S45: carrying out random 2-point mutation operation according to a certain mutation probability Pm;
S46: if the iteration times are less than T, jumping to S42 for continuous execution, if the iteration times are more than or equal to T, stopping iteration, and returning to the chromosome gene coding combination, namely the optimal order task sequence matrix;
S47: and distributing the execution sequence of the optimal task order of each AGV according to the mapping relation between the optimal order task sequence matrix and the AGVs.
In S44, crossing is performed by using IPMX strategies with a certain crossing probability Pc, so as to generate excellent offspring chromosomes, and the specific steps include: the following examples are shown:
The two parent genes are assumed as follows:
p1=(7,1,5,11,4,6,2,10,12,8,3,9)
p2=(2,11,4,6,12,10,7,3,5,9,8,1)
The crossing initial position and the ending position are set as the 4 th gene and the 9 th gene, and the IPMX crossing operator is designed as follows:
(1) The parent information is subjected to gene exchange:
p1=(7,1,5,6,12,10,7,3,5,8,3,9)
p2=(2,11,4,11,4,6,2,10,12,9,8,1)
(2) Establishing a gene exchange matrix by exchanging information:
(2) Mapping the matrix Ge
Go1(1,Ge(i,1))=Ge(i,2)
Go2(1,Ge(i,2))=Ge(i,1)
(3) A gene state matrix G pi and a dominant vector matrix G oi are generated.
Dominant vector matrix:
Go1=[0 0 10 0 12 11 2 0 0 6 0 4]
Go2=[0 7 0 12 0 10 0 0 0 3 6 5]
Gene state matrix:
Gp1=[0 0 1 0 1 1 1 0 0 1 0 1]
Gp2=[0 1 0 1 0 1 0 0 0 1 1 1]
(4) Combining the gene state matrix:
Gp=Gp1+Gp2=[0 1 1 1 1 2 1 0 0 2 1 2]
(5) The variable genes are solved:
Gv=find(Gp(1,:)>1)=[6 10 12]
(6) Updating the gene exchange matrix according to the calculation result of (5):
(7) Updating the dominant vector matrix according to the gene exchange matrix:
Go1=[0 0 11 0 4 0 2 0 0 0 0 0]
(8) Repeatedly mapping the matrix relation between the dominant vector matrix G o1 and the matrix relation of the dominant vector matrix (6), and generating a progeny 1 gene with the positions of the remaining genes unchanged:
p’1=(2,1,4,6,12,10,7,3,5,8,11,9)
(9) The mapping relationship between the progeny genes 1 and 2 is now defined:
Fe(p'1(i))=p1(i),i=1,2,…,n
p’2(i)=Fe(p2(i)),i=1,2,…,n
(10) The gene sequence of its progeny 2 is known from (9):
p’2=(7,3,5,11,4,6,2,10,12,9,8,1)
In order to maintain diversity of population, improve search efficiency, expand exploration area, avoid sinking in "precocity", need introduce mutation operator, the invention uses traditional genetic algorithm to solve the common exchange mutation and insertion mutation in the integer coding problem.
(51) The crossover mutation operation is as follows: the exchange positions a, b are generated using a random function, expressed as:
a=rand()%n
b=rand()%n
Swap=(a,b),a≠b
Wherein: a is the position number of the mutation of the gene, b is another position number exchanged with the mutation, n is the number of total tasks, and Swap represents the transformation operation, as shown in FIG. 4.
(52) The insertion mutation procedure was as follows: the insertion position d is generated using a random function, expressed as:
d=rand()%n
Insert=(c,d),c≠d
Wherein: c is the number of mutated gene positions, d is the number of inserted target positions, n is the number of total tasks, and Insert represents the insertion mutation operation, as shown in fig. 5.
Finally, it is noted that the above embodiments are only for illustrating the technical solution of the present invention and not for limiting the same, and although the present invention has been described in detail with reference to the preferred embodiments, it should be understood by those skilled in the art that modifications and equivalents may be made thereto without departing from the spirit and scope of the present invention, which is intended to be covered by the claims of the present invention.

Claims (1)

1. The optimizing method for the multi-picking-up task based on the multi-layer AGV parking garage is characterized by comprising the following steps of: the method comprises the following steps:
S1: according to the parking and taking process of the multi-layer AGV parking and taking system, a motion model of the AGV and an elevator is established:
the time required for the AGV to pass from column i to column j:
the time required for AGVs to pass from the ith lane to the jth lane:
The time required for the elevator from the i-th floor to the j-th floor:
Wherein C m is the number of columns that the AGV needs to pass when accelerating to maximum speed; c is the total number of parking lots; a v is AGV acceleration; v v is the maximum speed of the AGV; l is the length of each parking space; w is the width of each roadway; w is the width of each parking space; a is the total roadway number of the parking garage; a m is the number of lanes that the AGV needs to pass when accelerating to maximum speed; h is the height of each floor; l is the total layer number of the parking garage, and L m is the layer number required by the elevator to accelerate to the maximum speed; a l is the elevator acceleration; v l is the maximum speed of the elevator;
S2: according to the motion model of the AGVs and the elevators in the S1, a semi-open loop queuing network model of a parking and taking system of the multi-layer AGV parking garage is established;
S3: solving a task completion time function of a parking and taking system of the multi-layer AGV parking garage at a vehicle taking position;
s4: determining the execution sequence of the batch pick-up orders according to the improved genetic algorithm;
In the step S4, determining the execution sequence of the batch pick-up orders according to the improved genetic algorithm, wherein the specific steps include:
s41: initializing parking space parameters of a multi-layer AGV parking garage system, parking and taking task queues, elevator motion model parameters, AGV motion model parameters, randomly initializing a chromosome task sequence, and setting iteration times;
s42: calculating an fitness function of the population scale according to the time function in the step S3;
s43: selecting an excellent parent chromosome by adopting a competitive game selection and proportion-based fitness distribution method;
s44: crossing by adopting IPMX strategies with a certain crossing probability Pc to generate excellent offspring chromosomes;
S45: carrying out random 2-point mutation operation according to a certain mutation probability Pm;
S46: if the iteration times are less than T, jumping to S42 for continuous execution, if the iteration times are more than or equal to T, stopping iteration, and returning to the chromosome gene coding combination, namely the optimal order task sequence matrix;
S47: distributing the execution sequence of each AGV optimal task order according to the mapping relation between the optimal order task sequence matrix and the AGVs;
in S44, crossing is performed with a IPMX strategy at a certain crossing probability Pc, so as to generate excellent offspring chromosomes, which specifically includes the steps of:
S441: setting the chromosome gene sequences of the two father generation as p1 and p2;
s442: performing gene exchange on the parent gene by using exchange mutation operation and insertion compiling operation;
s443: establishing a gene exchange matrix Ge by using exchange information;
s444: mapping a gene state matrix Go1 and a dominant vector matrix Go2 according to the gene exchange matrix Ge:
Go1(1,Ge(i,1))=Ge(i,2)
Go2(1,Ge(i,2))=Ge(i,1)
s445: from Go1 and Go2, the gene status matrices Gp1 and Gp2 are determined;
S446: combining the gene state matrices Gp1 and Gp2 to Gp, i.e., gp=gp1+gp2;
s447: solving a variable gene G v=find(Gp (1,:1);
s448: repeating S443-S447 until the iteration times are reached;
In S442, the crossover mutation operation and the insertion mutation operation are used to perform gene crossover on the parent gene, specifically:
s4421: the crossover mutation operation is as follows: the exchange positions a, b are generated using a random function, expressed as:
a=rand()%n
b=rand()%n
Swap=(a,b),a≠b
Wherein: a is the position number of the mutation of the gene, b is the other position number exchanged with the gene, n is the number of total tasks, and Swap represents the transformation operation;
s4422: the insertion mutation procedure was as follows: the insertion position d is generated using a random function, expressed as:
d=rand()%n
Insert=(c,d),c≠d
Wherein: c is the number of mutated gene positions, d is the number of inserted target positions, n is the number of total tasks, and Insert represents the insertion mutation operation.
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