An Integer L-shaped algorithm for vehicle routing problem with simultaneous delivery and stochastic pickup

This paper addresses an exact algorithm for vehicle routing problem with simultaneous pickup and delivery in which customer demands to be collected are stochastic. The problem is modeled as a two-stage stochastic programming problem with recourse, in which routing decisions are made based on known d...

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Vydáno v:Computers & operations research Ročník 154; s. 106201
Hlavní autoři: Che, Yuxin, Zhang, Zhenzhen
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier Ltd 01.06.2023
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ISSN:0305-0548, 1873-765X
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Abstract This paper addresses an exact algorithm for vehicle routing problem with simultaneous pickup and delivery in which customer demands to be collected are stochastic. The problem is modeled as a two-stage stochastic programming problem with recourse, in which routing decisions are made based on known delivery demand and deterministic expected pickup demand in the first stage and recourse actions are made in the second stage when stochastic pickup quantities have been revealed. However, failures happen when the load of the vehicle is insufficient to meet the observed pickup demand of a customer. Three recourse policies are proposed to help deal with the failures to proceed with the routing decisions in the first stage. The Integer L-shaped algorithmic framework is used to solve this two-stage stochastic programming problems with recourse. Furthermore, effective lower bounding of the expected recourse cost of partial routes is designed for the three recourse policies, respectively. Computational experiments on the newly generated instances compare the performance of the Integer L-shaped algorithm under the three recourse policies, and the conclusion is validated via numerous simulations. The effectiveness of the proposed lower bounding functionals is confirmed through reduced optimality gaps and lower computing times. •Solve the vehicle routing problem with simultaneous delivery and stochastic pickup.•Propose Integer L-shaped algorithm to solve this stochastic problem with recourse.•Develop three recourse policies to deal with the failure of vehicle capacity.•Design lower bounds of expected recourse cost for partial routes.•Compare the performance of different recourse policies with interesting analyses.
AbstractList This paper addresses an exact algorithm for vehicle routing problem with simultaneous pickup and delivery in which customer demands to be collected are stochastic. The problem is modeled as a two-stage stochastic programming problem with recourse, in which routing decisions are made based on known delivery demand and deterministic expected pickup demand in the first stage and recourse actions are made in the second stage when stochastic pickup quantities have been revealed. However, failures happen when the load of the vehicle is insufficient to meet the observed pickup demand of a customer. Three recourse policies are proposed to help deal with the failures to proceed with the routing decisions in the first stage. The Integer L-shaped algorithmic framework is used to solve this two-stage stochastic programming problems with recourse. Furthermore, effective lower bounding of the expected recourse cost of partial routes is designed for the three recourse policies, respectively. Computational experiments on the newly generated instances compare the performance of the Integer L-shaped algorithm under the three recourse policies, and the conclusion is validated via numerous simulations. The effectiveness of the proposed lower bounding functionals is confirmed through reduced optimality gaps and lower computing times. •Solve the vehicle routing problem with simultaneous delivery and stochastic pickup.•Propose Integer L-shaped algorithm to solve this stochastic problem with recourse.•Develop three recourse policies to deal with the failure of vehicle capacity.•Design lower bounds of expected recourse cost for partial routes.•Compare the performance of different recourse policies with interesting analyses.
ArticleNumber 106201
Author Zhang, Zhenzhen
Che, Yuxin
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Keywords Routing
Simultaneous delivery and stochastic pickup
Recourse policy
Integer L-shaped algorithm
Stochastic programming
Language English
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StartPage 106201
SubjectTerms Integer L-shaped algorithm
Recourse policy
Routing
Simultaneous delivery and stochastic pickup
Stochastic programming
Title An Integer L-shaped algorithm for vehicle routing problem with simultaneous delivery and stochastic pickup
URI https://dx.doi.org/10.1016/j.cor.2023.106201
Volume 154
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