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The Traveling Social Golfer Problem: The Case of the Volleyball Nations League

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Abstract

The Volleyball Nations League is the elite annual international competition within volleyball, with the sixteen best nations per gender contesting the trophy in a tournament that spans over 6 weeks. The first five weeks contain a single round robin tournament, where matches are played in different venues across the globe. As a result of this setup, there is a large discrepancy between the travel burdens of meeting teams, which is a disadvantage for the teams that have to travel a lot. We analyse this problem, and find that it is related to the well-known Social Golfer Problem. We propose a decomposition approach for the resulting optimization problem, leading to the so-called Venue Assignment Problem. Using integer programming methods, we find, for real-life instances, the fairest schedules with respect to the difference in travel distance.

Original languageEnglish
Title of host publicationIntegration of Constraint Programming, Artificial Intelligence, and Operations Research
Subtitle of host publication18th International Conference, CPAIOR 2021, Vienna, Austria, July 5–8, 2021, Proceedings
EditorsPeter J. Stuckey
Place of PublicationCham
PublisherSpringer
Pages149-162
Number of pages14
ISBN (Electronic)978-3-030-78230-6
ISBN (Print)978-3-030-78229-0
DOIs
Publication statusPublished - 17 Jun 2021
Event18th International Conference on the Integration of Constraint Programming, Artificial Intelligence, and Operations Research, CPAIOR 2021 - Virtual, Online
Duration: 5 Jul 20218 Jul 2021

Publication series

NameLecture Notes in Computer Science (LNCS)
Volume12735
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference18th International Conference on the Integration of Constraint Programming, Artificial Intelligence, and Operations Research, CPAIOR 2021
CityVirtual, Online
Period5/07/218/07/21

Funding

Acknowledgement. The research of Frits C.R. Spieksma was partly funded by the NWO Gravitation Project NETWORKS, Grant Number 024.002.003.

FundersFunder number
Nederlandse Organisatie voor Wetenschappelijk Onderzoek024.002.003

    Keywords

    • Integer programming
    • Social Golfer problem
    • Volleyball Nations League

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