On the effect of demand randomness on inventories and costs
Operations Research
Correlations and Copulas for Decision and Risk Analysis
Management Science
Some remarks on the supermodular order
Journal of Multivariate Analysis
Stochastic Comparison of Random Vectors with a Common Copula
Mathematics of Operations Research
Newsvendor Networks: Inventory Management and Capacity Investment with Discretionary Activities
Manufacturing & Service Operations Management
Who Benefits from Transshipment? Exogenous vs. Endogenous Wholesale Prices
Management Science
An Introduction to Copulas (Springer Series in Statistics)
An Introduction to Copulas (Springer Series in Statistics)
Consideration of purchase dependence in inventory management
Computers and Industrial Engineering
Hi-index | 0.01 |
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.