A Dynamic Programming Algorithm for Vehicle Routing Problems

Vehicle Routing Problems (VRPs) are usually treated as static routing problem, since all the information is known before the routes been constructed. However, the real world VRPs are dynamic, where information relevant to the routing can change after the initial scheme has been done. This paper treats the dynamic VRPs with real time traffic information. We formulate the mathematic model of the VRPs, and propose a dynamic programming algorithm based on chaos optimization, whereas the route calculating module and dynamic programming module are introduced. Finally, the efficiency of the proposed algorithm is demonstrated by computer simulations.