Solving a Vehicle Routing Problem under Uncertainty by a Differential Evolution Algorithm

Purpose: In the real world, the vehicles should return to the depot after serving the last customer's location because of decreased related costs. This paper investigates the problem of increasing service time by using the stochastic time for each tour such that the total travelling time of the...

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Main Authors: Alireza Salamatbakhsh, Reza Tavakkoli-Moghaddam, Ali Pahlevani
Format: Article
Language:fas
Published: Ayandegan Institute of Higher Education, Tonekabon, 2021-02-01
Series:مدیریت نوآوری و راهبردهای عملیاتی
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Online Access:http://www.journal-imos.ir/article_126059_ea52316baf70647122d09663ada5787e.pdf
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author Alireza Salamatbakhsh
Reza Tavakkoli-Moghaddam
Ali Pahlevani
author_facet Alireza Salamatbakhsh
Reza Tavakkoli-Moghaddam
Ali Pahlevani
author_sort Alireza Salamatbakhsh
collection DOAJ
description Purpose: In the real world, the vehicles should return to the depot after serving the last customer's location because of decreased related costs. This paper investigates the problem of increasing service time by using the stochastic time for each tour such that the total travelling time of the vehicles is limited to a specific limit based on a defined probability. Methodology: It is proven that classic models in vehicle routing problems (VRPs) belong to the class of NP-hard ones; thus, due to its complexity using exact methods in large-scale problems, a meta-heuristic-based differential evolution (DE) algorithm is proposed. Findings: The obtained results indicate the efficiency of the proposed DE algorithm. Originality/Value: The total travel time is limited to a definite probability per cent, and other constraints (e.g., capacity and time distribution restrictions) are considered. In contrast, the total cost of the transportation is minimized.
format Article
id doaj-art-fa03da3ae0424f57943fe3204720ee70
institution Kabale University
issn 2783-1345
2717-4581
language fas
publishDate 2021-02-01
publisher Ayandegan Institute of Higher Education, Tonekabon,
record_format Article
series مدیریت نوآوری و راهبردهای عملیاتی
spelling doaj-art-fa03da3ae0424f57943fe3204720ee702025-01-30T14:59:20ZfasAyandegan Institute of Higher Education, Tonekabon,مدیریت نوآوری و راهبردهای عملیاتی2783-13452717-45812021-02-011431031910.22105/imos.2021.272652.1034126059Solving a Vehicle Routing Problem under Uncertainty by a Differential Evolution AlgorithmAlireza Salamatbakhsh0Reza Tavakkoli-Moghaddam1Ali Pahlevani2Department of Industrial Engineering, Ayandegan Institute of Higher Education, Tonekabon, IranDepartment of Industrial Engineering, College of Engineering, University of Tehran, Tehran, IranDepartment of Industrial Engineering, Iran University of Science and Technology, Tehran, IranPurpose: In the real world, the vehicles should return to the depot after serving the last customer's location because of decreased related costs. This paper investigates the problem of increasing service time by using the stochastic time for each tour such that the total travelling time of the vehicles is limited to a specific limit based on a defined probability. Methodology: It is proven that classic models in vehicle routing problems (VRPs) belong to the class of NP-hard ones; thus, due to its complexity using exact methods in large-scale problems, a meta-heuristic-based differential evolution (DE) algorithm is proposed. Findings: The obtained results indicate the efficiency of the proposed DE algorithm. Originality/Value: The total travel time is limited to a definite probability per cent, and other constraints (e.g., capacity and time distribution restrictions) are considered. In contrast, the total cost of the transportation is minimized.http://www.journal-imos.ir/article_126059_ea52316baf70647122d09663ada5787e.pdfvehicle routing problemdifferential evolution algorithmuncertainty
spellingShingle Alireza Salamatbakhsh
Reza Tavakkoli-Moghaddam
Ali Pahlevani
Solving a Vehicle Routing Problem under Uncertainty by a Differential Evolution Algorithm
مدیریت نوآوری و راهبردهای عملیاتی
vehicle routing problem
differential evolution algorithm
uncertainty
title Solving a Vehicle Routing Problem under Uncertainty by a Differential Evolution Algorithm
title_full Solving a Vehicle Routing Problem under Uncertainty by a Differential Evolution Algorithm
title_fullStr Solving a Vehicle Routing Problem under Uncertainty by a Differential Evolution Algorithm
title_full_unstemmed Solving a Vehicle Routing Problem under Uncertainty by a Differential Evolution Algorithm
title_short Solving a Vehicle Routing Problem under Uncertainty by a Differential Evolution Algorithm
title_sort solving a vehicle routing problem under uncertainty by a differential evolution algorithm
topic vehicle routing problem
differential evolution algorithm
uncertainty
url http://www.journal-imos.ir/article_126059_ea52316baf70647122d09663ada5787e.pdf
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AT rezatavakkolimoghaddam solvingavehicleroutingproblemunderuncertaintybyadifferentialevolutionalgorithm
AT alipahlevani solvingavehicleroutingproblemunderuncertaintybyadifferentialevolutionalgorithm