New Formulation for the Vehicle Routing Problem with Stochastic Demands

R. Omori, T. Shiina

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The main purpose of the Vehicle Routing Problem (VRP) is to minimize the total cost of delivery. When customer demand is not considered, the total cost is only travel cost. This is obtained by solving the Traveling Salesman Problem (TSP). However, when customers' demands are stochastic (Vehicle Routing Problem with Stochastic Demands, SVRP), the vehicle may thus be unable to load the customer's demand, even if the expected demand along the route does not exceed the vehicle capacity. This situation is referred to as a failure. Therefore, in SVRP, it is necessary to minimize the sum of the travel cost obtained by solving the TSP and the additional cost incurred when delivering along the route.In previous studies, it was common to use the lower bound instead of directly calculating the value of the additional cost. In this study, we focused on calculating additional costs directly without using lower bounds. The method used here considers additional costs of multiple edges: edges that pass through the depot and edges that do not pass through the depot, for all edges connecting the depot to the customer. The method provides a new solution to find the exact value.

Original languageEnglish
Title of host publicationProceedings - 2020 9th International Congress on Advanced Applied Informatics, IIAI-AAI 2020
EditorsTokuro Matsuo, Kunihiko Takamatsu, Yuichi Ono, Sachio Hirokawa
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages719-724
Number of pages6
ISBN (Electronic)9781728173979
DOIs
Publication statusPublished - 2020 Sep
Event9th International Congress on Advanced Applied Informatics, IIAI-AAI 2020 - Kitakyushu, Japan
Duration: 2020 Sep 12020 Sep 15

Publication series

NameProceedings - 2020 9th International Congress on Advanced Applied Informatics, IIAI-AAI 2020

Conference

Conference9th International Congress on Advanced Applied Informatics, IIAI-AAI 2020
Country/TerritoryJapan
CityKitakyushu
Period20/9/120/9/15

Keywords

  • VRP

ASJC Scopus subject areas

  • Artificial Intelligence
  • Computer Science Applications
  • Computer Vision and Pattern Recognition
  • Information Systems
  • Information Systems and Management

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