This paper investigates an optimal procurement policy for items with fixed lifetime. So any units which remain unused by their expiry date are considered outdated, and must be disposed of. The demand rate of items is assumed to be a function of current inventory level if the inventory is greater than or equal to S 0, and is constant if the inventory is less than S 0. For the system presented, a mathematical model and solution methodology are developed. At last, a numerical example is presented to illustrate the methodology.Key words-Inventory; stock-dependent demand rate; fixed lifetime I. INTRODUCTION Due to their limited product lifetime, the problem to determine suitable ordering policy is an important problem for many items such as cans of fruit, foodstuffs and drugs, et al. Perry and Posner [1] considered an (S − 1, S) system in which an order for exactly one item is placed at each time that a demand is satisfied as well as at each occurrence of an outdating of an item. Giri and Chaudhuri [2] considered deteriorating items with nonlinear holding cost. Hwang and Hahn [3] studied procurement policy for items with fixed life time and an inventory level-dependent demand rate, i.e. D(t) = αi β , α > 0, and 0 < β < 1. Kanchana and Anulark [4] investigates the effect of product perishability and retailers' stockout policy on system total cost, net profit, service level, and average inventory level in a two-echelon inventory-distribution system. Weng and McClurg [5] studies a two-party system, in which the buyer orders a product from the supplier, whose delivery time is uncertain. The buyer is faced with random demand over a selling period of fixed length. Chung and Lin [6] investigate inventory replenishment problem for deteriorating items taking account of time value of money over a fixed planning horizon. Perrya and Stadjeb [7] studies a Poisson inventory model for perishable goods in which the items have random lifetimes and are scrapped either when reaching the end of their lifetime or a fixed constant expiration age. Fujiwara, Soewandi and Sedarage [8] considers the problem of ordering and issuing policies arising in controlling finite-life-time fresh-meat-carcass inventories in supermarkets.For a retailer who deals with products such as foodstuffs, the dependency of sales volume on the amount of inventory displayed and the perishable nature of the product become