303
Views
23
CrossRef citations to date
0
Altmetric
Original Articles

A cloud theory-based particle swarm optimization for multiple decision maker vehicle routing problems with fuzzy random time windows

&
Pages 825-842 | Received 20 Jul 2013, Accepted 13 May 2014, Published online: 30 Jun 2014

References

  • Chakroborty, P., and A. Mandal. 2005. “An Asexual Genetic Algorithm for the General Single Vehicle Routing Problem.” Engineering Optimization 37 (1): 1–27. doi: 10.1080/03052150410001721468
  • Figliozzi, M. A. 2010. “An Iterative Route Construction and Improvement Algorithm for the Vehicle Routing Problem with Soft Time Windows.” Transportation Research Part C: Emerging Technologies 18 (5): 668–679. doi: 10.1016/j.trc.2009.08.005
  • Fisher, M. L., and R. Jaikumar. 1981. “A Generalized Assignment Heuristic for Vehicle Routing.” Networks 11 (2): 109–124. doi: 10.1002/net.3230110205
  • Gao, Y., G. Zhang, J. Lu, and H.-M. Wee. 2011. “Particle Swarm Optimization for Bi-Level Pricing Problems in Supply Chains.” Journal of Global Optimization 51 (2): 245–254. doi: 10.1007/s10898-010-9595-8
  • Heilpern, S. 1992. “The Expected Value of a Fuzzy Number.” Fuzzy Sets and Systems 47: 81–86. doi: 10.1016/0165-0114(92)90062-9
  • Kennedy, J., and R. C. Eberhart. 1995. “Particle Swarm Optimization.” Proceedings of IEEE International Conference on Neural Networks 4: 1942–1948. doi: 10.1109/ICNN.1995.488968
  • Kennedy, J., and R. C. Eberhart. 2001. Swarm Intelligence. San Francisco: Morgan Kaufmann.
  • Kuo, Y. 2010. “Using Simulated Annealing to Minimize Fuel Consumption for the Time-Dependent Vehicle Routing Problem.” Computers & Industrial Engineering 59 (1): 157–165. doi: 10.1016/j.cie.2010.03.012
  • Li, D., and Y. Du. 2007. Artificial Intelligence with Uncertainty. London: Chapman and Hall/CRC.
  • Li, D., H. Meng, and X. Shi. 1995. “Membership Clouds and Membership Cloud Generators.” Journal of Computer Research and Development 32 (6): 15–20.
  • Mahmoodabadi, M., A. Bagheri, N. Nariman-zadeh, and A. Jamali. 2012. “A New Optimization Algorithm Based on a Combination of Particle Swarm Optimization, Convergence and Divergence Operators for Single-Objective and Multi-Objective Problems.” Engineering Optimization 44 (10): 1167–1186. doi: 10.1080/0305215X.2011.644545
  • Marinakis, Y., A. Migdalas, and P. M. Pardalos. 2007. “A New Bilevel Formulation for the Vehicle Routing Problem and a Solution Method Using a Genetic Algorithm.” Journal of Global Optimization 38 (4): 555–580. doi: 10.1007/s10898-006-9094-0
  • Raff, S. 1983. “Routing and Scheduling of Vehicles and Crews: The State of the Art.” Computers & Operations Research 10 (2): 63–211. doi: 10.1016/0305-0548(83)90030-8
  • Ratnaweera, A., S. K. Halgamuge, and H. C. Watson. 2004. “Self-Organizing Hierarchical Particle Swarm Optimizer with Time-Varying Acceleration Coefficients.” IEEE Transactions on Evolutionary Computation 8 (3): 240–255. doi: 10.1109/TEVC.2004.826071
  • Sheng, Y., and K. Yao. 2012. “A Transportation Model with Uncertain Costs and Demands.” Information: An International Interdisciplinary Journal 15 (8): 3179–3186.
  • Tang, J., Z. Pan, R. Y. Fung, and H. Lau. 2009. “Vehicle Routing Problem with Fuzzy Time Windows.” Fuzzy Sets and Systems 160 (5): 683–695. doi: 10.1016/j.fss.2008.09.016
  • Ta°, D., N. Dellaert, T. Van Woensel, and T. De Kok. 2012. “Vehicle Routing Problem with Stochastic Travel Times Including Soft Time Windows and Service Costs.” Computers & Operations Research 40 (1): 214–224.
  • Wu, D. 2010. “Bilevel Programming Data Envelopment Analysis with Constrained Resource.” European Journal of Operational Research 207 (2): 856–864. doi: 10.1016/j.ejor.2010.05.008
  • Xu, J., and Y. Liu. 2008. “Multi-Objective Decision Making Model Under Fuzzy Random Environment and its Application to Inventory Problems.” Information Sciences 178 (14), 2899–2914. doi: 10.1016/j.ins.2008.03.003
  • Xu, J., Z. Zeng, B. Han, and X. Lei. 2013. “A Dynamic Programming-Based Particle Swarm Optimization Algorithm for an Inventory Management Problem Under Uncertainty.” Engineering Optimization 45 (7): 851–880. doi: 10.1080/0305215X.2012.709514
  • Xu, J., X. Zhou, and S. Li. 2011. “A Class of Chance Constrained Multi-Objective Portfolio Selection Model Under Fuzzy Random Environment.” Journal of Optimization Theory and Applications 150 (3): 530–552. doi: 10.1007/s10957-011-9852-0
  • Yu, H., S. I.-J. Chien, and C.-J. Ting. 2010. “Bilevel Programming Model for Minimum-Cost Travel Time Data Collection with Time Windows.” Transportation Research Record: Journal of the Transportation Research Board 2197 (1): 29–35. doi: 10.3141/2197-04
  • Yu, B., Z.-Z. Yang, and B. Yao. 2009. “An Improved Ant Colony Optimization for Vehicle Routing Problem.” European Journal of Operational Research 196 (1): 171–176. doi: 10.1016/j.ejor.2008.02.028

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.