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This paper investigates a two-echelon inventory system with a centralwarehouse and N (N > 2) retailers managed by a centralized information-sharingmechanism. In particular, the paper mathematically models an easy-to-implementinventory control system that facilitates making use of information. Someassumptions of the paper include: a) constant delivery time for retailers andthe central warehouse and b) Poisson demand with identical rates for retailers.The inventory policy comprises continuous review (R,Q)-policy on the part ofretailers and triggering the system with m batches (of a given size Q) at thecentral warehouse. Besides, the central warehouse monitors retailers' inventoryand may order batches sooner than retailers' reorder point, when theirinventory position reaches R + s. An earlier study proposed the policy and itscost function approximation. This paper derives an exact mathematical model ofthe cost function for the aforementioned problem.

The Cost Function of a Two-Level Inventory System with identical retailers benefitting from Information Sharing