Urban pickup and delivery problem considering time-dependent fuzzy velocity

The velocity in vehicle routing problem is usually fuzzy and uncertain, which would influence the flexibility and feasibility of the dispatch result of vehicles. In this paper a realistic model is proposed to solve urban pickup and delivery problem with consideration of time-dependent fuzzy velocity of vehicles. Firstly, based on collected traffic data of typical roads in an urban city, the membership function of fuzzy velocity was created and simulated. Then the fuzzy arriving time to customers was calculated with Alfa-Cut Set Algorithm. Next, the urban pickup and delivery problem under time-dependent fuzzy velocity was described, and a modified Tabu Search was used to solve the problem. Finally, the paper introduces a real pickup and delivery problem with 28 customers in a logistics company to illustrate the proposed method. The results show the dispatch result considering fuzzy velocity is more feasible and robust than that with deterministic velocity, and the improved Tabu Search could be used to solve the urban pickup and delivery problem with shorter computation time.

[1]  Gilbert Laporte,et al.  An exact algorithm for the asymmetrical capacitated vehicle routing problem , 1986, Networks.

[2]  Giuseppe Paletta,et al.  A Heuristic for the Periodic Vehicle Routing Problem , 1992, Transp. Sci..

[3]  Michel Gendreau,et al.  A Generalized Insertion Heuristic for the Traveling Salesman Problem with Time Windows , 1998, Oper. Res..

[4]  Michel Gendreau,et al.  A Tabu Search Heuristic for the Vehicle Routing Problem with Stochastic Demands and Customers , 1996, Oper. Res..

[5]  Fred W. Glover,et al.  Future paths for integer programming and links to artificial intelligence , 1986, Comput. Oper. Res..

[6]  S. Kikuchi,et al.  A fuzzy approach to the transshipment problem , 1990, [1990] Proceedings. First International Symposium on Uncertainty Modeling and Analysis.

[7]  Michel Gendreau,et al.  The Traveling Salesman Problem with Backhauls , 1996, Comput. Oper. Res..

[8]  George B. Dantzig,et al.  The Truck Dispatching Problem , 1959 .

[9]  Mitsuo Gen,et al.  Vehicle Routing Problem with Fuzzy Due-Time Using Genetic Algorithms , 1995 .

[10]  Attahiru Sule Alfa,et al.  A 3-OPT based simulated annealing algorithm for vehicle routing problems , 1991 .

[11]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[12]  Dusan Teodorovic,et al.  The fuzzy set theory approach to the vehicle routing problem when demand at nodes is uncertain , 1996, Fuzzy Sets Syst..

[13]  Gilbert Laporte,et al.  STOCHASTIC VEHICLE ROUTING. , 1996 .

[14]  G. Clarke,et al.  Scheduling of Vehicles from a Central Depot to a Number of Delivery Points , 1964 .

[15]  Billy E. Gillett,et al.  A Heuristic Algorithm for the Vehicle-Dispatch Problem , 1974, Oper. Res..