Kernel Search for the Capacitated Vehicle Routing Problem

This paper addresses the Capacitated Vehicle Routing Problem (CVRP), which is a widely studied optimization problem due to its relevance to the field of transportation, distribution, and logistics. We present a matheuristic method for CVRP that adopts the main idea of the Kernel Search algorithm (KS...

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Bibliographic Details
Published in:Applied sciences Vol. 12; no. 22; p. 11421
Main Author: Borčinová, Zuzana
Format: Journal Article
Language:English
Published: Basel MDPI AG 01.11.2022
Subjects:
Algorithms
capacitated vehicle routing problem
Customers
Heuristic
kernel search
Linear programming
Literature reviews
Mathematical programming
matheuristics
mixed integer linear programming
Optimization
Variables
Vehicles
ISSN:2076-3417, 2076-3417
Online Access:Get full text
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Summary:This paper addresses the Capacitated Vehicle Routing Problem (CVRP), which is a widely studied optimization problem due to its relevance to the field of transportation, distribution, and logistics. We present a matheuristic method for CVRP that adopts the main idea of the Kernel Search algorithm (KS) based on decomposing the original problem into sub-problems that are easier to solve. Unlike the original scheme of KS, our approach uses the Clarke–Wright savings algorithm to construct a sequence of smaller sub-problems, which are subsequently solved using mathematical programming strategies. The computational experiments performed on a set of benchmark instances showed that the proposed matheuristics achieves good results in acceptable computational time.
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ISSN:2076-3417
2076-3417
DOI:10.3390/app122211421