This paper deals with a single-period, single-product inventory model with several individual sources of demand. It is a multi-location problem with an opportunity for centralization. Two types of inventory system are considered in this paper: the decentralized system and the centralized system. The aim of this paper is to extend Eppen's model by adding the consideration of transportation cost to constitute a new inventory model. With this new inventory model we prove three theorems that include the results of Eppen's model.
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Chang et al. (1991) studied this question.
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