Advanced Phasmatodea Population Evolution Algorithm for Capacitated Vehicle Routing Problem

Capacitated Vehicle Routing Problem (CVRP) is difficult to solve by the traditional precise methods in the transportation area. The metaheuristic algorithm is often used to solve CVRP and can obtain approximate optimal solutions. Phasmatodea population evolution algorithm (PPE) is a recently propose...

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Main Authors: Jiawen Zhuang, Shu-Chuan Chu, Chia-Cheng Hu, Lyuchao Liao, Jeng-Shyang Pan
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Advanced Transportation
Online Access:http://dx.doi.org/10.1155/2022/9241112
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author Jiawen Zhuang
Shu-Chuan Chu
Chia-Cheng Hu
Lyuchao Liao
Jeng-Shyang Pan
author_facet Jiawen Zhuang
Shu-Chuan Chu
Chia-Cheng Hu
Lyuchao Liao
Jeng-Shyang Pan
author_sort Jiawen Zhuang
collection DOAJ
description Capacitated Vehicle Routing Problem (CVRP) is difficult to solve by the traditional precise methods in the transportation area. The metaheuristic algorithm is often used to solve CVRP and can obtain approximate optimal solutions. Phasmatodea population evolution algorithm (PPE) is a recently proposed metaheuristic algorithm. Given the shortcomings of PPE, such as its low convergence precision, its nature to fall into local optima easily, and it being time-consuming, we propose an advanced Phasmatodea population evolution algorithm (APPE). In APPE, we delete competition, delete conditional acceptance and correspondingevolutionary trend update, and add jump mechanism, history-based searching, and population closing moving. Deleting competition and conditional acceptance and correspondingevolutionary trend update can shorten PPE running time. Adding a jump mechanism makes PPE more likely to jump out of the local optimum. Adding history-based searching and population closing moving improves PPE’s convergence accuracy. Then, we test APPE by CEC2013. We compare the proposed APPE with differential evolution (DE), sparrow search algorithm (SSA), Harris Hawk optimization (HHO), and PPE. Experiment results show that APPE has higher convergence accuracy and shorter running time. Finally, APPE also is applied to solve CVRP. From the test results of the instances, APPE is more suitable to solve CVRP.
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institution Kabale University
issn 2042-3195
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publishDate 2022-01-01
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series Journal of Advanced Transportation
spelling doaj-art-0242fbb971824c79b86476ecb0bd437d2025-08-20T03:55:32ZengWileyJournal of Advanced Transportation2042-31952022-01-01202210.1155/2022/9241112Advanced Phasmatodea Population Evolution Algorithm for Capacitated Vehicle Routing ProblemJiawen Zhuang0Shu-Chuan Chu1Chia-Cheng Hu2Lyuchao Liao3Jeng-Shyang Pan4School of Computer Science and MathematicsCollege of Computer Science and EngineeringCollege of Artificial IntelligenceSchool of Computer Science and MathematicsSchool of Computer Science and MathematicsCapacitated Vehicle Routing Problem (CVRP) is difficult to solve by the traditional precise methods in the transportation area. The metaheuristic algorithm is often used to solve CVRP and can obtain approximate optimal solutions. Phasmatodea population evolution algorithm (PPE) is a recently proposed metaheuristic algorithm. Given the shortcomings of PPE, such as its low convergence precision, its nature to fall into local optima easily, and it being time-consuming, we propose an advanced Phasmatodea population evolution algorithm (APPE). In APPE, we delete competition, delete conditional acceptance and correspondingevolutionary trend update, and add jump mechanism, history-based searching, and population closing moving. Deleting competition and conditional acceptance and correspondingevolutionary trend update can shorten PPE running time. Adding a jump mechanism makes PPE more likely to jump out of the local optimum. Adding history-based searching and population closing moving improves PPE’s convergence accuracy. Then, we test APPE by CEC2013. We compare the proposed APPE with differential evolution (DE), sparrow search algorithm (SSA), Harris Hawk optimization (HHO), and PPE. Experiment results show that APPE has higher convergence accuracy and shorter running time. Finally, APPE also is applied to solve CVRP. From the test results of the instances, APPE is more suitable to solve CVRP.http://dx.doi.org/10.1155/2022/9241112
spellingShingle Jiawen Zhuang
Shu-Chuan Chu
Chia-Cheng Hu
Lyuchao Liao
Jeng-Shyang Pan
Advanced Phasmatodea Population Evolution Algorithm for Capacitated Vehicle Routing Problem
Journal of Advanced Transportation
title Advanced Phasmatodea Population Evolution Algorithm for Capacitated Vehicle Routing Problem
title_full Advanced Phasmatodea Population Evolution Algorithm for Capacitated Vehicle Routing Problem
title_fullStr Advanced Phasmatodea Population Evolution Algorithm for Capacitated Vehicle Routing Problem
title_full_unstemmed Advanced Phasmatodea Population Evolution Algorithm for Capacitated Vehicle Routing Problem
title_short Advanced Phasmatodea Population Evolution Algorithm for Capacitated Vehicle Routing Problem
title_sort advanced phasmatodea population evolution algorithm for capacitated vehicle routing problem
url http://dx.doi.org/10.1155/2022/9241112
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AT shuchuanchu advancedphasmatodeapopulationevolutionalgorithmforcapacitatedvehicleroutingproblem
AT chiachenghu advancedphasmatodeapopulationevolutionalgorithmforcapacitatedvehicleroutingproblem
AT lyuchaoliao advancedphasmatodeapopulationevolutionalgorithmforcapacitatedvehicleroutingproblem
AT jengshyangpan advancedphasmatodeapopulationevolutionalgorithmforcapacitatedvehicleroutingproblem