Maichel M. Aguayo , Francisco N. Avilés , Subhash C. Sarin , Claudia Archetti
{"title":"The vehicle routing problem with transfers","authors":"Maichel M. Aguayo , Francisco N. Avilés , Subhash C. Sarin , Claudia Archetti","doi":"10.1016/j.cor.2025.106980","DOIUrl":null,"url":null,"abstract":"<div><div>In the vehicle routing problem (VRP), a fleet of capacitated vehicles serves a set of customers with known demands at minimum cost. The Split Delivery VRP (SDVRP), a variant of VRP, permits customer demands to be served by different vehicles, and thereby results in a significant cost reduction. In this paper, we study the VRP with transfers (VRP-T), where, as in the SDVRP, customers can be visited by multiple vehicles. However, differently from the SDVRP, customer locations can be used as transfer locations to exchange load among vehicles. We find that the routing costs can potentially be reduced by at most 50% by allowing such transfers in the VRP. We develop a two-index mixed-integer programming (MIP) model and heuristic algorithm based on <span><math><mi>Multi − start local search (MSLS)</mi></math></span>. The solutions obtained by the <span><math><mi>MSLS</mi></math></span> are used as warm-start for the MIP and the corresponding approach is tested. Computational results indicate substantial savings in the costs incurred and the number of vehicles required when transfers are allowed. Results also suggest that transfers are at least as effective in reducing the cost as split delivery.</div></div>","PeriodicalId":10542,"journal":{"name":"Computers & Operations Research","volume":"177 ","pages":"Article 106980"},"PeriodicalIF":4.1000,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computers & Operations Research","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0305054825000085","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
Abstract
In the vehicle routing problem (VRP), a fleet of capacitated vehicles serves a set of customers with known demands at minimum cost. The Split Delivery VRP (SDVRP), a variant of VRP, permits customer demands to be served by different vehicles, and thereby results in a significant cost reduction. In this paper, we study the VRP with transfers (VRP-T), where, as in the SDVRP, customers can be visited by multiple vehicles. However, differently from the SDVRP, customer locations can be used as transfer locations to exchange load among vehicles. We find that the routing costs can potentially be reduced by at most 50% by allowing such transfers in the VRP. We develop a two-index mixed-integer programming (MIP) model and heuristic algorithm based on . The solutions obtained by the are used as warm-start for the MIP and the corresponding approach is tested. Computational results indicate substantial savings in the costs incurred and the number of vehicles required when transfers are allowed. Results also suggest that transfers are at least as effective in reducing the cost as split delivery.
期刊介绍:
Operations research and computers meet in a large number of scientific fields, many of which are of vital current concern to our troubled society. These include, among others, ecology, transportation, safety, reliability, urban planning, economics, inventory control, investment strategy and logistics (including reverse logistics). Computers & Operations Research provides an international forum for the application of computers and operations research techniques to problems in these and related fields.