Vehicle routing optimization with soft time windows in a fuzzy random environment
Jiuping Xu,
Fang Yan and
Steven Li
Transportation Research Part E: Logistics and Transportation Review, 2011, vol. 47, issue 6, 1075-1091
Abstract:
This paper is concerned with a vehicle routing problem with soft time windows (VRPSTW) in a fuzzy random environment. Two objectives are considered: (1) minimize the total travel cost and (2) maximize the average satisfaction level of all customers. After setting up the model for the VRPSTW in a fuzzy random environment, the fuzzy random expected value concept is used to deal with the constraints and its equivalent crisp model is derived. The global–local–neighbor particle swarm optimization with exchangeable particles (GLNPSO-ep) is employed to solve the equivalent crisp model. A case study is also presented to illustrate the effectiveness of the proposed approach.
Keywords: Vehicle routing problem; Soft time windows; Fuzzy random; Particle swarm optimization (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (10)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:transe:v:47:y:2011:i:6:p:1075-1091
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DOI: 10.1016/j.tre.2011.04.002
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