id: 06047257 dt: j an: 06047257 au: Trick, Michael A.; Yildiz, Hakan ti: Benders’ cuts guided large neighborhood search for the traveling umpire problem. so: Nav. Res. Logist. 58, No. 8, 771-781 (2011). py: 2011 pu: John Wiley \& Sons, Hoboken, NJ la: EN cc: ut: personnel scheduling; spots; Benders cuts; large neighborhood search ci: li: doi:10.1002/nav.20482 ab: Summary: 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. rv: