Optimal ordering policies for perishable multi-item under stock-dependent demand and two-level trade credit |
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Institution: | 1. College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, China;2. Department of Basic Education, Talent International College, Qinzhou, Guangxi, China;3. Information Center, Foshan Power Supply Bureau, Foshan, Guangdong, China;4. Guangshui No.1 High School, Guangshui, Hubei, China |
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Abstract: | In this paper, a multi-item inventory model for perishable items is developed, where the demand rates of the items are stock dependent, two-level trade credit is adopted and the restriction of inventory capacity is also considered. The major objective is to determine the optimal cycle time and order quantities such that the total profit is maximized. The existence and uniqueness of the optimal cycle is discussed by Lagrange approach, and line search algorithms are developed to find the optimal solution of the model. Furthermore, numerical examples are given to illustrate the methods. The sensitivity of the solution to changes in the values of different parameters is also discussed. |
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Keywords: | Stock-dependent demand rate Multi-item Two-level trade credit |
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