@article {10.3844/jmssp.2011.12.19, article_type = {journal}, title = {Periodic Review Probabilistic Multi-Item Inventory System with Zero Lead Time under Constraint and Varying Holding Cost}, author = {El-Sodany, Naglaa Hassan}, volume = {7}, year = {2011}, month = {Jan}, pages = {12-19}, doi = {10.3844/jmssp.2011.12.19}, url = {https://thescipub.com/abstract/jmssp.2011.12.19}, abstract = {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 levelĀ 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.}, journal = {Journal of Mathematics and Statistics}, publisher = {Science Publications} }