Memetic Algorithm with Population Management for the Two-dimensional Loading Vehicle Routing Problem with Partial Conflicts

Abstract : The two-dimensional loading vehicle routing problem with partial conflicts combines two NP-hard problems: the capacitated vehicle routing problem (CVRP) and the two-dimensional bin-packing problem with partial conflicts (2BPPC). This problem arises for example in hazardous waste collection, where some materials can be partially conflicting. In this paper, we propose a memetic algorithm with population management to resolve this new problem. A modified SHF-D heuristic is used to obtain feasible packing in each vehicle. The proposed approach is tested on a new benchmark, created by adding partial conflicts to instances from the literature.