Benders' cuts guided large neighborhood search for the traveling umpire problem
Title | Benders' cuts guided large neighborhood search for the traveling umpire problem |
Publication Type | Journal Article |
Year of Publication | 2011 |
Authors | Trick MA, Yildiz H |
Journal | Naval Research Logistics (NRL) |
Volume | 58 |
Pagination | 771–781 |
ISSN | 1520-6750 |
Keywords | benders 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 |
URL | http://dx.doi.org/10.1002/nav.20482 |
DOI | 10.1002/nav.20482 |