Block-matrix-based approach for the vehicle routing problem with transportation type selection under an uncertain environment

References

• Brito, J., A. Moreno, and J. L. Verdegay. 2009. “Fuzzy Optimization in Vehicle Routing Problems.” Paper presented at the Joint 2009 International Fuzzy Systems Association World Congress and 2009 European Society of Fuzzy Logic and Technology Conference, Lisbon, Portugal, July 20–24.
   Google Scholar
• Demir, E., W. Burgholzer, M. Hrušovský, E. Arıkan, W. Jammernegg, and T. V. Woensel. 2016. “A Green Intermodal Service Network Design Problem with Travel Time Uncertainty.” Transportation Research Part B: Methodological 93 (7): 789–807. doi: 10.1016/j.trb.2015.09.007
   Google Scholar
• Fisher, M. L., and R. Jaikumar. 1981. “A Generalized Assignment Heuristic for Vehicle Routing.” Networks 11 (2): 109–124. doi: 10.1002/net.3230110205
   Web of Science ®Google Scholar
• García, S., D. Molina, M. Lozano, and F. Herrera. 2009. “A Study on the Use of Non-Parametric Tests for Analyzing the Evolutionary Algorithms’ Behavior: A Case Study on the CEC’2005 Special Session on Real Parameter Optimization.” Journal of Heuristics 15 (6): 617–644. doi: 10.1007/s10732-008-9080-4
   Web of Science ®Google Scholar
• Goodarzi, A. H., and S. H. Zegordi. 2016. “A Location-Routing Problem for Cross-Docking Networks: A Biogeography-Based Optimization Algorithm.” Computers & Industrial Engineering 102: 132–146. doi: 10.1016/j.cie.2016.10.023
   Web of Science ®Google Scholar
• Haghani, A., and S. Jung. 2005. “A Dynamic Vehicle Routing Problem with Time-Dependent Travel Times.” Computers & Operations Research 32 (11): 2959–2986. doi: 10.1016/j.cor.2004.04.013
   Web of Science ®Google Scholar
• Hosseini, S. D., M. A. Shirazi, and S. M. T. F. Ghomi. 2014. “Harmony Search Optimization Algorithm for a Novel Transportation Problem in a Consolidation Network.” Engineering Optimization 46 (11): 1538–1552. doi: 10.1080/0305215X.2013.854350
   Web of Science ®Google Scholar
• Jabali, O., T. Van Woensel, and A. G. de Kok. 2012. “Analysis of Travel Times and CO2 Emissions in Time-Dependent Vehicle Routing.” Production and Operations Management 21 (6): 1060–1074. doi: 10.1111/j.1937-5956.2012.01338.x
   Web of Science ®Google Scholar
• Kuo, R. J., B. S. Wibowo, and F. E. Zulvia. 2016. “Application of a Fuzzy Ant Colony System to Solve the Dynamic Vehicle Routing Problem with Uncertain Service Time.” Applied Mathematical Modelling 40 (23): 9990–10001. doi: 10.1016/j.apm.2016.06.025
   Web of Science ®Google Scholar
• Kuo, R. J., F. E. Zulvia, and K. Suryadi. 2012. “Hybrid Particle Swarm Optimization with Genetic Algorithm for Solving Capacitated Vehicle Routing Problem with Fuzzy Demand – A Case Study on Garbage Collection System.” Applied Mathematics and Computation 219 (5): 2574–2588. doi: 10.1016/j.amc.2012.08.092
   Web of Science ®Google Scholar
• Laarhoven, P. J. M. V., and W. Pedrycz. 1983. “A Fuzzy Extension of Saaty’s Priority Theory.” Fuzzy Sets and Systems 11 (1-3): 199–227. doi: 10.1016/S0165-0114(83)80081-5
   Web of Science ®Google Scholar
• Lin, J. 2015. “A Hybrid Biogeography-Based Optimization for the Fuzzy Flexible Job-Shop Scheduling Problem.” Knowledge-Based Systems 78: 59–74. doi: 10.1016/j.knosys.2015.01.017
   Web of Science ®Google Scholar
• Liu, B. 2006. “A Survey of Credibility Theory.” Fuzzy Optimization and Decision Making 5 (4): 387–408. doi: 10.1007/s10700-006-0016-x
   Google Scholar
• Ma, H., and D. Simon. 2011. “Blended Biogeography-Based Optimization for Constrained Optimization.” Engineering Applications of Artificial Intelligence 24 (3): 517–525. doi: 10.1016/j.engappai.2010.08.005
   Web of Science ®Google Scholar
• Meng, X. G., J. Li, X. Z. Dai, and J. P. Dou. 2017. “Variable Neighborhood Search for a Colored Traveling Salesman Problem.” IEEE Transactions on Intelligent Transportation Systems 99: 1–9.
   Google Scholar
• Mokhtarinejad, M., A. Ahmadi, B. Karimi, and S. H. A. Rahmati. 2015. “A Novel Learning Based Approach for a New Integrated Location-Routing and Scheduling Problem Within Cross-Docking Considering Direct Shipment.” Applied Soft Computing 34: 274–285. doi: 10.1016/j.asoc.2015.04.062
   Web of Science ®Google Scholar
• Moon, L., J. H. Lee, and J. Seong. 2012. “Vehicle Routing Problem with Time Windows Considering Overtime and Outsourcing Vehicles.” Expert Systems with Applications 39 (18): 13202–13213. doi: 10.1016/j.eswa.2012.05.081
   Web of Science ®Google Scholar
• Ning, Y. F., and T. Y. Su. 2017. “A Multilevel Approach for Modelling Vehicle Routing Problem with Uncertain Travelling Time.” Journal of Intelligent Manufacturing 28 (3): 683–688. doi: 10.1007/s10845-014-0979-3
   Web of Science ®Google Scholar
• Novaes, A. G. N., E. T. Bez, and P. J. Burin. 2015. “Dynamic Milk-Run OEM Operations in Over-Congested Traffic Conditions.” Computers & Industrial Engineering 88: 326–340. doi: 10.1016/j.cie.2015.07.010
   Web of Science ®Google Scholar
• Roy, P. K., S. P. Ghoshal, and S. S. Thakur. 2010. “Biogeography Based Optimization for Multi-constraint Optimal Power Flow with Emission and Non-Smooth Cost Function.” Expert Systems with Applications 37 (12): 8221–8228. doi: 10.1016/j.eswa.2010.05.064
   Web of Science ®Google Scholar
• Seyed, D. H., A. S. Mohsen, and K. Behrooz. 2014. “Cross-Docking and Milk-Run Logistics in a Consolidation Network: A Hybrid of Harmony Search and Simulated Annealing Approach.” Journal of Manufacturing Systems 33 (4): 567–577. doi: 10.1016/j.jmsy.2014.05.004
   Web of Science ®Google Scholar
• Shin, Y. C., and C. Xu. 2009. Intelligent System: Modeling, Optimization and Control. New York: CRC Press.
   Google Scholar
• Simon, D. 2008. “Biogeography-Based Optimization.” IEEE Transactions on Evolutionary Computation 12 (6): 702–713. doi: 10.1109/TEVC.2008.919004
   Web of Science ®Google Scholar
• Sun, Y., G. J. Zhang, Z. J. Hong, and K. X. Dong. 2018. “How Uncertain Information on Service Capacity Influences the Intermodal Routing Decision: A Fuzzy Programming Perspective.” Information 9 (24): 2078–2094.
   Google Scholar
• Tang, J. F., Z. D. Pan, R. Y. K. 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
   Web of Science ®Google Scholar
• Yao, B. Z., B. Yu, P. Hu, J. J. Gao, and M. H. Zhang. 2016. “An Improved Particle Swarm Optimization for Carton Heterogeneous Vehicle Routing Problem with a Collection Depot.” Annals of Operations Research 242 (2): 303–320. doi: 10.1007/s10479-015-1792-x
   Web of Science ®Google Scholar
• Zadeh, L. A. 1965. “Fuzzy Sets.” Information and Control 8: 338–353. doi: 10.1016/S0019-9958(65)90241-X
   Web of Science ®Google Scholar
• Zarandi, M. H. F., A. Hemmati, and S. Davari. 2011. “The Multi-depot Capacitated Location-Routing Problem with Fuzzy Travel Times.” Expert Systems with Applications 38 (8): 10075–10084. doi: 10.1016/j.eswa.2011.02.006
   Web of Science ®Google Scholar
• Zhang, S., S. Xu, W. Y. Zhang, D. J. Yu, and K. Chen. 2018. “A Hybrid Approach Combining an Extended BBO Algorithm with an Intuitionistic Fuzzy Entropy Weight Method for QoS-Aware Manufacturing Service Supply Chain Optimization.” Neurocomputing 272: 439–452. doi: 10.1016/j.neucom.2017.07.011
   Web of Science ®Google Scholar
• Zheng, Y., and B. Liu. 2006. “Fuzzy Vehicle Routing Model with Credibility Measure and Its Hybrid Intelligent Algorithm.” Applied Mathematics and Computation 176 (2): 673–683. doi: 10.1016/j.amc.2005.10.013
   Web of Science ®Google Scholar