Robustness of Order-Up-to Policies in Lost-Sales Inventory Systems

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We study an inventory system under periodic review when excess demand is lost. It is known (Huh et al. 2009) that the best base-stock policy is asymptotically optimal as the lost-sales penalty cost parameter grows. We now show that this result is robust in the following sense: Consider the base-stock level which is optimal in a backordering system (with a per-unit-per-period backordering cost) in which the backorder cost parameter is a function of the lost-sales parameter in the original system. Then there is a large family of functions (mapping the lost-sales cost parameter to the backorder cost parameter) such that the resulting base-stock policy is asymptotically optimal. We also demonstrate the robustness phenomenon through a second result. We consider the base-stock level which is optimal in a backordering system in which a unit of backorder is charged a penalty cost only once (such a system has been studied by Rosling). We show that this base-stock policy is also asymptotically optimal. Furthermore, we show that a modification suggested by Archibald of this base-stock level also results in an asymptotically optimal policy. Finally, we numerically test the performance of this heuristic policy for a wide spectrum of values for the lost-sales penalty cost parameter and illustrate the superior performance of Archibald's method.
Publisher
INFORMS
Issue Date
2014-09
Language
English
Article Type
Article
Keywords

COSTS

Citation

OPERATIONS RESEARCH, v.62, no.5, pp.1040 - 1047

ISSN
0030-364X
DOI
10.1287/opre.2014.1298
URI
http://hdl.handle.net/10203/194536
Appears in Collection
MA-Journal Papers(저널논문)
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