Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Eppen (1979) shod that inventory costs in a centralized system increase with the correlation beten multivariate normal product demands. Using multivariate stochastic orders,  generalize this statement to arbitrary distributions.  then describe methods to construct models with arbitrary dependence structure, using the copula of a multivariate distribution to capture the dependence beten the components of a random vector. For broad classes of distributions with arbitrary marginals,  confirm that centralization or pooling of inventories is more valuable when demands are less positively dependent.
['Charles J. Corbett', 'Kumar Rajaram']
I am writing a research paper on a idea A Generalization of the Inventory Pooling Effect to Nonnormal Dependent Demand
[{"from": "human", "value": "I am writing a research paper on a idea A Generalization of the Inventory Pooling Effect to Nonnormal Dependent Demand"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Eppen (1979) shod that inventory costs in a centralized system increase with the correlation beten multivariate normal product demands. Using multivariate stochastic orders,  generalize this statement to arbitrary distributions.  then describe methods to construct models with arbitrary dependence structure, using the copula of a multivariate distribution to capture the dependence beten the components of a random vector. For broad classes of distributions with arbitrary marginals,  confirm that centralization or pooling of inventories is more valuable when demands are less positively dependent."}]