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A mathematical model for vehicle routing problem under endogenous uncertainty

F. Hooshmand Khaligh and S.A. MirHassani

International Journal of Production Research, 2016, vol. 54, issue 2, 579-590

Abstract: In this study, a multistage stochastic programming (SP) model is presented for a variant of single-vehicle routing problem with stochastic demands from a dynamic viewpoint. It is assumed that the actual demand of a customer becomes known only when the customer is visited. This problem falls into the category of SP with endogenous uncertainty and hence, the scenario tree is decision-dependent. Therefore, nonanticipativity of decisions is ensured by conditional constraints making up a large portion of total constraints. Thus, a novel approach is proposed that considerably reduces the problem size without any effect on the solution space. Computational results on some test problems are reported.

Date: 2016
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DOI: 10.1080/00207543.2015.1057625

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