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Approximation Algorithms for the Stochastic Lot-Sizing Problem with Order Lead Times

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Author(s)
Levi, Retsef
•
Shi, Cong
Date Issued
May 2013
Journal
Operations Research
Publisher
Institute for Operations Research and the Management Sciences (INFORMS)
Citation
Levi, Retsef, and Cong Shi. “Approximation Algorithms for the Stochastic Lot-Sizing Problem with Order Lead Times.” Operations Research 61, no. 3 (June 2013): 593–602.
Version
Author's final manuscript
Abstract
We develop new algorithmic approaches to compute provably near-optimal policies for multiperiod stochastic lot-sizing inventory models with positive lead times, general demand distributions, and dynamic forecast updates. The policies that are developed have worst-case performance guarantees of 3 and typically perform very close to optimal in extensive computational experiments. The newly proposed algorithms employ a novel randomized decision rule. We believe that these new algorithmic and performance analysis techniques could be used in designing provably near-optimal randomized algorithms for other stochastic inventory control models and more generally in other multistage stochastic control problems.
MIT Department
Sloan School of Management
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
http://creativecommons.org/licenses/by-nc-sa/4.0/
Persistent DSpace Link
http://hdl.handle.net/1721.1/87771
DOI of Published Version
https://doi.org/10.1287/opre.2013.1162
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