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On Service Level Measures in Stochastic Inventory Control

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    Rights statement: © Rossi, R. (2013). On Service Level Measures in Stochastic Inventory Control. 1991-1996. Paper presented at IFAC Conference on Manufacturing Modeling, Management and Control, MIM 2013, Saint Petersburgh, Russian Federation.10.3182/20130619-3-RU-3018.00295

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Original languageEnglish
Pages1991-1996
Number of pages6
DOIs
Publication statusPublished - 2013
EventIFAC Conference on Manufacturing Modeling, Management and Control, MIM 2013 - Saint Petersburgh, Russian Federation
Duration: 19 Jun 201321 Jun 2013

Conference

ConferenceIFAC Conference on Manufacturing Modeling, Management and Control, MIM 2013
CountryRussian Federation
CitySaint Petersburgh
Period19/06/1321/06/13

Abstract

We consider the issue of modeling service level measures in stochastic decision making via chance constraints. More specifically we focus on service level measures in production/inventory control under stochastic demand and alpha service level constraints, which are constraints enforcing a prescribed non-stockout probability for the system. We introduce multiple ways of expressing these chance constraints by using conditional probability. Then we demonstrate that, when these constraints are formulated by using expressions that do not involve a conditional probability, a base stock policy is optimal for this problem only under a number of assumptions. To demonstrate this, we discuss a number of examples for simple cases in which it is possible to find better policies and we also present some analytical results. In contrast, when our novel measure involving a conditional probability is used. A base stock policy is optimal under much less restrictive assumptions, although the cost performance of the system tends to deteriorate.

Event

IFAC Conference on Manufacturing Modeling, Management and Control, MIM 2013

19/06/1321/06/13

Saint Petersburgh, Russian Federation

Event: Conference

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