A rolling horizon approach for a multi-stage stochastic fixed-charge transportation problem with transshipment
•A fixed-charge transportation problem with transshipment and backordering under stochastic and dynamic demand is studied.•A mixed integer stochastic programming formulation is proposed.•Complexity results for this problem are presented.•A rolling horizon approach is proposed to solve the problem.•N...
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Published in: | European journal of operational research Vol. 301; no. 3; pp. 912 - 922 |
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Language: | English |
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16-09-2022
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Abstract | •A fixed-charge transportation problem with transshipment and backordering under stochastic and dynamic demand is studied.•A mixed integer stochastic programming formulation is proposed.•Complexity results for this problem are presented.•A rolling horizon approach is proposed to solve the problem.•Numerical results show that the rolling horizon approach provides effective solutions in short computational time.
We study a fixed-charge transportation problem under stochastic and dynamic demand. We propose a multi-stage mixed integer stochastic programming formulation, where the first-stage decision is the delivery from the supplier to the retailers, while transshipment is used, in addition to classical backordering as recourse decision. The objective is the minimization of the total expected cost. We prove that this problem is NP-hard and, through a worst-case analysis, that transshipment can provide significant cost savings. Extensive computational studies are carried out to evaluate the performance of a rolling horizon approach with respect to the optimal cost. Numerical results show that this heuristic provides effective solutions in short computational time. Managerial insights are finally drawn. |
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AbstractList | •A fixed-charge transportation problem with transshipment and backordering under stochastic and dynamic demand is studied.•A mixed integer stochastic programming formulation is proposed.•Complexity results for this problem are presented.•A rolling horizon approach is proposed to solve the problem.•Numerical results show that the rolling horizon approach provides effective solutions in short computational time.
We study a fixed-charge transportation problem under stochastic and dynamic demand. We propose a multi-stage mixed integer stochastic programming formulation, where the first-stage decision is the delivery from the supplier to the retailers, while transshipment is used, in addition to classical backordering as recourse decision. The objective is the minimization of the total expected cost. We prove that this problem is NP-hard and, through a worst-case analysis, that transshipment can provide significant cost savings. Extensive computational studies are carried out to evaluate the performance of a rolling horizon approach with respect to the optimal cost. Numerical results show that this heuristic provides effective solutions in short computational time. Managerial insights are finally drawn. |
Author | Maggioni, Francesca Cavagnini, Rossana Bertazzi, Luca |
Author_xml | – sequence: 1 givenname: Rossana orcidid: 0000-0003-0418-6212 surname: Cavagnini fullname: Cavagnini, Rossana email: cavagnini@dpo.rwth-aachen.de organization: Deutsche Post Chair – Optimization of Distribution Networks, RWTH Aachen University, Kackertstr. 7B, Aachen 52072, Germany – sequence: 2 givenname: Luca surname: Bertazzi fullname: Bertazzi, Luca email: luca.bertazzi@unibs.it organization: Deparment of Economics and Management, University of Brescia, Contrada Santa Chiara n. 50, Brescia 25122, Italy – sequence: 3 givenname: Francesca surname: Maggioni fullname: Maggioni, Francesca email: francesca.maggioni@unibg.it organization: Department of Management, Information and Production Engineering, University of Bergamo, Viale Marconi 5, Dalmine (BG) 24044, Italy |
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Keywords | Multi-stage stochastic programming Rolling horizon approach Fixed-charge transportation problem Transshipment Logistics |
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Title | A rolling horizon approach for a multi-stage stochastic fixed-charge transportation problem with transshipment |
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