Method for the stochastic traveling time VRPSPD problem

This paper set up a chance-constrained programming model for STT-VRPSDP (stochastic traveling time vehicle routing problem with simultaneous pick-up and delivery), designed respectively a scatter search algorithm applicable to this problem. In response to the complexity of STT-VRPSDP, this paper constructed innovatively an improvement method and a combination method derived from the basic theory of scatter search algorithm. Moreover, with C-W algorithm as an approach to get the initial solution to scatter search algorithm, the scatter search algorithm designed in this paper catered better to the loading floating feature particular to STT-VRPSDP and therefore could better the quality of solution. The simulation experiment firstly analyzed the parameters setting of scatter search algorithm, after which several sets of instances were chosen for the purpose of comparing and analyzing scatter search algorithm and genetic algorithm. The computation results show that solutions of scatter search algorithm are better than those of genetic algorithm.

[1]  Tao Zhang,et al.  Improved Ant Colony System for VRPSPD with Maximum Distance Constraint , 2008 .

[2]  Rafael Martí,et al.  Experimental Testing of Advanced Scatter Search Designs for Global Optimization of Multimodal Functions , 2005, J. Glob. Optim..

[3]  Edward P. C. Kao,et al.  A Preference Order Dynamic Program for a Stochastic Traveling Salesman Problem , 1978, Oper. Res..

[4]  Jan Dethloff,et al.  Vehicle routing and reverse logistics: The vehicle routing problem with simultaneous delivery and pick-up , 2001, OR Spectr..

[5]  Fermín Alfredo Tang Montané,et al.  A tabu search algorithm for the vehicle routing problem with simultaneous pick-up and delivery service , 2006, Comput. Oper. Res..

[6]  J Dethloff,et al.  Relation between vehicle routing problems: an insertion heuristic for the vehicle routing problem with simultaneous delivery and pick-up applied to the vehicle routing problem with backhauls , 2002, J. Oper. Res. Soc..

[7]  Halit Üster,et al.  A scatter search-based heuristic to locate capacitated transshipment points , 2007, Comput. Oper. Res..

[8]  M. Laguna,et al.  Scatter search for the linear ordering problem , 1999 .

[9]  Rafael Martí,et al.  Context-Independent Scatter and Tabu Search for Permutation Problems , 2005, INFORMS J. Comput..

[10]  Belarmino Adenso-Díaz,et al.  A scatter search approach to the optimum disassembly sequence problem , 2006, Comput. Oper. Res..

[11]  Sung-Hun Song,et al.  Vehicle scheduling problems with time-varying speed , 1997 .

[12]  Gilbert Laporte,et al.  The Vehicle Routing Problem with Stochastic Travel Times , 1992, Transp. Sci..

[13]  F. Glover HEURISTICS FOR INTEGER PROGRAMMING USING SURROGATE CONSTRAINTS , 1977 .

[14]  Shoshana Anily,et al.  The vehicle-routing problem with delivery and back-haul options , 1996 .

[15]  Wen-Chyuan Chiang,et al.  Scatter search for the vehicle routing problem with time windows , 2006, Eur. J. Oper. Res..