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A Generalization of the Inventory Pooling Effect to Non-Normal Dependent DemandCharles J. CorbettUniversity of California, Los Angeles - Anderson School of Business Kumar RajaramUniversity 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 working papers seriesDate posted: July 13, 2006Suggested CitationContact Information
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