On the demand pooling anomaly in inventory theory

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

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)411-413
Number of pages3
JournalOperations Research Letters
Issue number6
StatePublished - 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.


  • 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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