Benders' cuts guided large neighborhood search for the traveling umpire problem

TitleBenders' cuts guided large neighborhood search for the traveling umpire problem
Publication TypeJournal Article
Year of Publication2011
AuthorsTrick MA, Yildiz H
JournalNaval Research Logistics (NRL)
Volume58
Pagination771–781
ISSN1520-6750
Keywordsbenders cuts, Large neighborhood search, personnel scheduling, spots
Abstract

This article introduces the use of Benders' cuts to guide a large neighborhood search to solve the traveling umpire problem, a sports scheduling problem inspired by the real-life needs of the officials of a sports league. At each time slot, a greedy matching heuristic is used to construct a schedule. When an infeasibility is recognized first a single step backtracking is tried to resolve the infeasibility. If unsuccessful, Benders' cuts are generated to guide a large neighborhood search to ensure feasibility and to improve the solution. Realizing the inherent symmetry present in the problem, a large family of cuts are generated and their effectiveness is tested. The resulting approach is able to find better solutions to many instances of this problem. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011

URLhttp://dx.doi.org/10.1002/nav.20482
DOI10.1002/nav.20482
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