On the demand pooling anomaly in inventory theory

Shaul K. Bar-Lev; Ernst Schulte-Geers; Wolfgang Stadje

doi:10.1016/j.orl.2011.09.002

On the demand pooling anomaly in inventory theory

Shaul K. Bar-Lev, Ernst Schulte-Geers, Wolfgang Stadje

Department of Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

The demand pooling anomaly of inventory theory of type F amounts to a kind of restricted order relation between the individual demands (assumed to be independent) and their average. In this paper, we present some sufficient conditions for the type F anomaly not to occur for two i.i.d. demands; furthermore we provide an asymptotic result showing whether this anomaly occurs for large n for a class of distributions containing all distributions with finite mean.

Original language	English
Pages (from-to)	411-413
Number of pages	3
Journal	Operations Research Letters
Volume	39
Issue number	6
DOIs	https://doi.org/10.1016/j.orl.2011.09.002
State	Published - Nov 2011

Bibliographical note

Funding Information:
This paper was written while Shaul Bar-Lev was a visiting professor at the University of Osnabrück supported by the Mercator program of the Deutsche Forschungsgemeinschaft. The authors would like to thank the referee and the associate editor for their careful reading of the manuscript.

Keywords

Inventory
Pooled demand
Type F anomaly

ASJC Scopus subject areas

Software
Management Science and Operations Research
Industrial and Manufacturing Engineering
Applied Mathematics

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10.1016/j.orl.2011.09.002

Cite this

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abstract = "The demand pooling anomaly of inventory theory of type F amounts to a kind of restricted order relation between the individual demands (assumed to be independent) and their average. In this paper, we present some sufficient conditions for the type F anomaly not to occur for two i.i.d. demands; furthermore we provide an asymptotic result showing whether this anomaly occurs for large n for a class of distributions containing all distributions with finite mean.",

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AU - Stadje, Wolfgang

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N2 - The demand pooling anomaly of inventory theory of type F amounts to a kind of restricted order relation between the individual demands (assumed to be independent) and their average. In this paper, we present some sufficient conditions for the type F anomaly not to occur for two i.i.d. demands; furthermore we provide an asymptotic result showing whether this anomaly occurs for large n for a class of distributions containing all distributions with finite mean.

AB - The demand pooling anomaly of inventory theory of type F amounts to a kind of restricted order relation between the individual demands (assumed to be independent) and their average. In this paper, we present some sufficient conditions for the type F anomaly not to occur for two i.i.d. demands; furthermore we provide an asymptotic result showing whether this anomaly occurs for large n for a class of distributions containing all distributions with finite mean.

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KW - Type F anomaly

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ER -

On the demand pooling anomaly in inventory theory

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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