Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/100791
Title: Good and bad news about the (S, T) policy
Authors: Liu, Fang
Song, Jing-Sheng
Keywords: Business
Issue Date: 2012
Source: Liu, F., & Song, J.-S. (2012). Good and bad news about the (S, T) policy. Manufacturing & service operations management, 14(1), 42-49.
Series/Report no.: Manufacturing & service operations management
Abstract: This paper studies the optimization of the (S, T) inventory policy, where T is the replenishment interval and S is the order-up-to level. First, we demonstrate that the previously established joint convexity of the long-run average cost is false. Hence, the optimization is not straightforward. We then point out that the joint convexity concept depends on whether S and T are continuous or discrete variables, and in some situations it may not even be well defined. Nonetheless, we are able to identify several useful properties of the cost function, such as submodularity and coordinatewise convexity. Based on these properties, we develop efficient algorithms to compute the optimal policy for continuous and discrete demands.
URI: https://hdl.handle.net/10356/100791
http://hdl.handle.net/10220/18242
ISSN: 1523-4614
DOI: 10.1287/msom.1110.0353
Rights: © 2012 INFORMS.
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:NBS Journal Articles

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