The open vehicle routing problem with fuzzy demands

According to the open vehicle routing problem (OVRP), a vehicle is not required to return to the distribution depot after servicing the last customer on its route. In this paper, the open vehicle routing problem with fuzzy demands (OVRPFD) is considered. A fuzzy chance-constrained program model is designed based on fuzzy credibility theory. Stochastic simulation and an improved differential evolution algorithm are integrated so as to use a hybrid intelligent algorithm to solve the OVRPFD model. The influence of the decision-maker's preference on the final outcome of the problem is analyzed using stochastic simulation, and the range of possible preferences is calculated. Crown Copyright (C) 2009 Published by Elsevier Ltd. All rights reserved.