Optimizing (s, S) policies for multi-period inventory models with demand distribution uncertainty: Robust dynamic programming approaches

We consider a finite-horizon single-product periodic-review inventory managementproblem with demand distribution uncertainty. We formulate the problemas a dynamic program and prove the existence of an optimal (s, S) policy. Thecorresponding dynamic robust counterpart models are then developed for th...

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Bibliographic Details
Main Authors: QIU, Ruozhen, SUN, Minghe, LIM, Yun Fong
Format: text
Language:English
Published: Institutional Knowledge at Singapore Management University 2017
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Online Access:https://ink.library.smu.edu.sg/lkcsb_research/5110
https://ink.library.smu.edu.sg/context/lkcsb_research/article/6109/viewcontent/yflim_EJOR2017_complete.pdf
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Institution: Singapore Management University
Language: English
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Summary:We consider a finite-horizon single-product periodic-review inventory managementproblem with demand distribution uncertainty. We formulate the problemas a dynamic program and prove the existence of an optimal (s, S) policy. Thecorresponding dynamic robust counterpart models are then developed for thebox and the ellipsoid uncertainty sets. These counterpart models are transformedinto tractable linear and second-order cone programs, respectively. Weillustrate the effectiveness and practicality of the proposed robust optimizationapproaches through a numerical study.