TY - JOUR AU - Fergany, Hala A. PY - 2005 TI - Periodic Review Probabilistic Multi-Item Inventory System with Zero Lead Time under Constraints and Varying Order Cost JF - American Journal of Applied Sciences VL - 2 IS - 8 DO - 10.3844/ajassp.2005.1213.1217 UR - https://thescipub.com/abstract/ajassp.2005.1213.1217 AB - This study treats the probabilistic safety stock n-items inventory system having varying order cost and zero lead-time subject to two linear constraints. The expected total cost is composed of three components: the average purchase cost; the expected order cost and the expected holding cost. The policy variables in this model are the number of periods Nr* and the optimal maximum inventory level Qmr* and the minimum expected total cost. We can obtain the optimal values of these policy variables by using the geometric programming approach. A special case is deduced and an illustrative numerical example is added.