TY - JOUR AU - El-Sodany, Naglaa Hassan PY - 2011 TI - Periodic Review Probabilistic Multi-Item Inventory System with Zero Lead Time under Constraint and Varying Holding Cost JF - Journal of Mathematics and Statistics VL - 7 IS - 1 DO - 10.3844/jmssp.2011.12.19 UR - https://thescipub.com/abstract/jmssp.2011.12.19 AB - Problem statement: This study treats the probabilistic safety stock n-items inventory system having varying holding cost and zero lead-time subject to linear constraint. Approach: The expected total cost is composed of three components: the average purchase cost; the expected order cost and the expected holding cost. Results: The policy variables for this model are the number of periods N*r and the optimal maximum inventory level Q*mr and the minimum expected total cost. Conclusion/Recommendations: 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.