Iranian Institute of Industrial EngineeringJournal of Industrial and Systems Engineering1735-82722120080401Deriving the Exact Cost Function for a Two-Level Inventory System with Information Sharing41503951ENR.HajiIndustrial Engineering Dept, Sharif University of Technology, Tehran, IranS.M.SajadifarIndustrial Engineering Dept, Sharif University of Technology, Tehran, IranJournal Article20061224In this paper we consider a two-level inventory system with one warehouse and one retailer with information exchange. Transportation times are constant and retailer faces independent Poisson demand. The retailer applies continuous review (R,Q)-policy. The supplier starts with m initial batches (of size Q), and places an order to an outside source immediately after the retailerâ€™s inventory position reaches R+s. In this system the lead time of the retailer is determined not only by the constant transportation time but also by the random delay incurred due to the availability of stock at the supplier. A recent paper has obtained the approximate value of the expected cost for this system by using the expected value of the retailerâ€™s lead time and hence has pointed out that the optimal supplier policy is an open question. In this paper we tackle this open question and obtain the exact value of the expected system cost by using the idea of the one-for-one ordering policy and implicitly incorporating the distribution function of the random delay.http://www.jise.ir/article_3951_1afa6b1b3d1014c48f0bc482cbb10110.pdf