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

Michael A. Trick and Hakan Yildiz

Naval Research Logistics (NRL), 2011, vol. 58, issue 8, 771-781

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

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:wly:navres:v:58:y:2011:i:8:p:771-781

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