Multi-Item Inventory Model with Shortage Limitations رسالة ماجستير

Abstract

The shortages in inventory models are a mixture of backorder and lost sales that result from the unmet demands of customers during the shortage period. In this thesis, the multi-item inventory model is presented with two shortage limitations. The first limitation depends on the expected varying backorder cost and the second one depends on the expected lost sales cost. Our model is formulated in both crisp and fuzzy cases to analyze how to conclude the optimal values of order quantity and the reorder point for each item. As a result, the minimum expected total cost is achieved where the Lagrange Multipliers technique is used for this purpose. In the presented model, the demand during leading time is considered as a random variable that follows the normal distribution. As an illustration, numerical examples are applied and the results of fuzzy and crisp

models are compared.