Limited memory Rank-1 cuts for vehicle routing problems.

Abstract

Pecin et al. (2016) introduced a ‘‘limited memory’’ technique that allows an efficient use of Rank-1 cuts in the Set Partitioning Formulation of Vehicle Routing Problems, motivating a deeper investigation of those cuts. This work presents a computational polyhedral study that determines the best possible sets of multipliers for cuts with up to 5 rows. Experiments with CVRP instances show that the new multipliers lead to significantly improved dual bounds and contributes decisively for solving an open instance with 420 customers.