Control of Inventories with Markov Demand

Alain Bensoussan*

*Corresponding author for this work

Research output: Chapters, Conference Papers, Creative and Literary WorksRGC 32 - Refereed conference paper (with host publication)peer-review

1 Citation (Scopus)

Abstract

We consider inventory control problems in discrete time. The horizon is infinite, and we consider discounted payoffs as well nondiscounted payoffs (ergodic control). We may have backlog or not. We may have set-up costs or not. In the traditional framework, the demand is modeled as a sequence of i.i.d. random variables. The ordering strategy is given by a base stock policy or an s, S policy, whether or not there is a set-up cost. We consider here the situation when the demand is modeled by a Markov chain. We show how the base stock policy and the s, S policy can be extended. © Springer-Verlag Berlin Heidelberg 2012.
Original languageEnglish
Title of host publicationSpringer Proceedings in Mathematics and Statistics
PublisherSpringer New York
Pages29-55
Volume22
ISBN (Print)9783642299810
DOIs
Publication statusPublished - 2012
Externally publishedYes
Event9th Workshop on Stochastic Analysis and Related Topics - Paris, France
Duration: 14 Jun 201015 Jun 2010

Publication series

Name
Volume22
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

Conference9th Workshop on Stochastic Analysis and Related Topics
PlaceFrance
CityParis
Period14/06/1015/06/10

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