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OPTIMIZATION OF A MULTI-ITEM INVENTORY MODEL FOR DETERIORATING ITEMS WITH CAPACITY CONSTRAINT USING DYNAMIC PROGRAMMING

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AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/jimo.2021013

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Inventory control; multi-item; deteriorating items; capacity constraint; knapsack problem; dynamic programming

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This study focuses on the inventory control of deteriorating items, addressing the limitations of previous studies by considering the limited carrier capacity and finite quantity of orders. A multi-item inventory model is proposed, and dynamic programming is utilized for problem optimization. The results demonstrate that the proposed solution method can effectively solve the mixed-integer problem and provide the global optimum solution.
In recent years, numerous studies have been conducted regarding inventory control of deteriorating items. However, due to the complexity of the solution methods, various real assumptions such as discrete variables and capacity constraints were neglected. In this study, we presented a multi-item inventory model for deteriorating items with limited carrier capacity. The proposed research considered the carrier, which transports the order has limited capacity and the quantity of orders cannot be infinite. Dynamic programming is used for problem optimization. The results show that the proposed solution method can solve the mixed-integer problem, and it can provide the global optimum solution.

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