Abstract
This paper presents a method for solving multi-depot vehicle routing problem (MDVRP). First, a virtual central depot is added to transfer MDVRP to the multi-depot vehicle routing problem with the virtual central depot (V-MDVRP), which is similar to a vehicle routing problem (VRP) with the virtual central depot as the origin. An improved ant colony optimization with coarse-grain parallel strategy, ant-weight strategy and mutation operation, is presented for the V-MDVRP. The computational results for 23 benchmark problems are reported and compared to those of other ant colony optimizations.
Similar content being viewed by others
References
Albritton MD and McMullen PR (2007). Optimal product design using a colony of virtual ants. Eur J Opl Res 176: 498–520.
Bell JE and McMullen PR (2004). Ant colony optimization techniques for the vehicle routing problem. Adv Eng Inform 18: 41–48.
Bullnheimer B, Hartl RF and Strauss C (1999). Applying the ant system to the vehicle routing problem. In: Voss SM, Osman IH and Roucairol C (eds). Meta-heuristics: Advances and Trends in Local Search Paradigms for Optimization. Kluwer: Boston, pp. 285–296.
Bullnheimer B, Kotsis G and Strauss C (1998). Parallelization strategies for the ant system. In: Leone R, Murli A, Pardalos PM and Toraldo G (eds). High Performance Algorithms and Software in Nonlinear Optimization. Kluwer: Dordrecht, pp. 87–100.
Chao MI, Golden BL and Wasil EA (1993). A new heuristic for the multi-depot vehicle routing problem that improves upon best-known solutions. Am J Math Mngt Sci 13: 371–406.
Christofides N and Eilon S (1969). An algorithm for the vehicle-dispatching problem. Opl Res Q 20: 309–318.
Cordeau JF, Gendreau M and Laporte G (1997). A tabu search heuristic for periodic and multi-depot vehicle routing problems. Networks 30: 105–119.
Crevier B, Cordeau JF and Laporte G (2007). The multi-depot vehicle routing problem with inter-depot routes. Eur J Opl Res 176: 756–773.
Dorigo M, Maniezzo V and Colorni A (1996). Ant system: Optimization by a colony of cooperating agents. IEEE T Syst Man Cyb 26(1): 29–41.
Eklund SE (2004). A massively parallel architecture for distributed genetic algorithms. Parallel Comput 30: 647–676.
Gillett BE and Johnson JG (1976). Multi-terminal vehicle-dispatch algorithm. Omega 4: 711–718.
Lim A and Wang F (2005). Multi-depot vehicle routing problem: A one-stage approach. IEEE T Automat Sci Eng 2: 397–402.
Middendorf M, Reischle F and Schmeck H (2002). Multi colony ant algorithms. J Heuristics 8: 305–320.
Mingozzi A (2005). The multi-depot periodic vehicle routing problem. In: Zucker JD and Saitta L (eds). Lecture Notes Artificial Intelligence vol. 3607. Springer: Berlin, pp. 347–350.
Raft OM (1982). A modular algorithm for an extended vehicle scheduling problem. Eur J Opl Res 11: 67–76.
Renaud J, Laporte G and Boctor FF (1996). A tabu search heuristic for the multi-depot vehicle routing problem. Comput Opns Res 23: 229–235.
Schoonderwoerd R, Holland O, Bruten J and Rothkrantz L (1997). Ant-based load balancing in telecommunications networks. Adapt Behav 5: 169–207.
Solar M, Parada V and Urrutia R (2002). A parallel genetic algorithm to solve the set-covering problem. Comput Opns Res 29: 1221–1235.
Stützle T and Hoos HH (2000). MAX–MIN ant system. Future Gener Comput Syst 16: 889–914.
Tillman FA and Cain TM (1972). An upperbound algorithm for the single and multiple terminal delivery problem. Mngt Sci 18: 664–682.
Wren A and Holliday A (1972). Computer scheduling of vehicles from one or more depots to a number of delivery points. Opl Res Q 23: 333–344.
Yang ZZ, Yu B and Cheng CT (2007). A parallel ant colony algorithm for bus network optimization. Comput-Aided Civ Inf Eng 22: 44–55.
Yu B and Yang ZZ (2009). A dynamic holding strategy in public transit systems with real-time information. Appl Intell 31: 69–80.
Yu B, Yang ZZ and Cheng CT (2007). Optimizing the distribution of shopping centers with parallel genetic algorithm. Eng Appl Artif Int 20: 215–223.
Yu B, Yang ZZ and Yao BZ (2009). An improved ant colony optimization for vehicle routing problem. Eur J Opl Res 196: 171–176.
Acknowledgements
This research is financed by the National Science Foundation for Post-doctoral Scientists of China 20080440168 and the Doctoral Program Foundation for Young Scholar of Institutions of Higher Education of China through project 20070151013.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Yu, B., Yang, ZZ. & Xie, JX. A parallel improved ant colony optimization for multi-depot vehicle routing problem. J Oper Res Soc 62, 183–188 (2011). https://doi.org/10.1057/jors.2009.161
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1057/jors.2009.161