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A Generalization of the Inventory Pooling Effect to Non-Normal Dependent Demand


Charles J. Corbett


University of California, Los Angeles - Anderson School of Business

Kumar Rajaram


University of California, Los Angeles - Anderson School of Business

August 11, 2005


Abstract:     
Eppen (1979) showed that inventory costs in a centralized system increase with the correlation between multivariate normal product demands. Using multivariate stochastic orders, we generalize this statement to arbitrary distributions. We then describe methods to construct models with arbitrary dependence structure, using the copula of a multivariate distribution to capture the dependence between the components of a random vector. For broad classes of distributions with arbitrary marginals, we confirm that centralization or pooling of inventories is more valuable when demands are less positively dependent.

Number of Pages in PDF File: 23

Keywords: Decisions, Operations , Technology Management, Inventory Pooling Effect, Dependent Demand

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Date posted: July 13, 2006  

Suggested Citation

Corbett, Charles J. and Rajaram, Kumar, A Generalization of the Inventory Pooling Effect to Non-Normal Dependent Demand (August 11, 2005). Available at SSRN: http://ssrn.com/abstract=913809 or http://dx.doi.org/10.2139/ssrn.913809

Contact Information

Charles J. Corbett (Contact Author)
University of California, Los Angeles - Anderson School of Business ( email )
110 Westwood Plaza
Los Angeles, CA 90095-1481
United States
Kumar Rajaram
University of California, Los Angeles - Anderson School of Business ( email )
110 Westwood Plaza
Los Angeles, CA 90095-1481
United States
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