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EOQ Model for Deteriorating Items with Stock-Level-Dependent Demand Rate and Order-Quantity-Dependent Trade Credit

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  • Jie Min
  • Jian Ou
  • Yuan-Guang Zhong
  • Xin-Bao Liu

Abstract

This paper develops a generalized inventory model for exponentially deteriorating items with current-stock-dependent demand rate and permissible delay in payments. In the model, the payment for the item must be made immediately if the order quantity is less than the predetermined quantity; otherwise, a fixed trade credit period is permitted. The maximization of the average profit per unit of time is taken as the inventory system’s objective. The necessary and sufficient conditions and some properties of the optimal solution to the model are developed. Simple solution procedures are proposed to efficiently determine the optimal ordering policies of the considered problem. Numerical example is also presented to illustrate the solution procedures obtained.

Suggested Citation

  • Jie Min & Jian Ou & Yuan-Guang Zhong & Xin-Bao Liu, 2014. "EOQ Model for Deteriorating Items with Stock-Level-Dependent Demand Rate and Order-Quantity-Dependent Trade Credit," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-14, December.
    • Handle: RePEc:hin:jnlmpe:962128
    DOI: 10.1155/2014/962128
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