An Inventory Model for Increasing Demand with Probabilistic Deterioration, Permissible Delay and Partial Backlogging

一個具遞增需求且擁有機率性損壞，遞延允許及部分備貨的存貨模式之研究

10.6186/IJIMS.2014.25.4.2

K. F. Mary Latha；R. Uthayakumar

存貨 ； 二次需求函數 ； 允許遞延支付 ； 機率性損壞 ； 部分備貨 ； Inventory ； quadratic demand ； permissible delay in payments ； probabilistic eterioration ； partial backlogging

International Journal of Information and Management Sciences

25卷4期（2014 / 12 / 01）

297 - 316

英文

本論文提出一個存貨模式去研究當擁有的損壞商品具有時間相依的二次需求及允許遞延支付，模式中允許缺貨且擁有部分備用品；最後本研究提出一個具備成本最低的最佳化政策。本研究的目標包含考慮三種不同的機率損壞函數並找出其對應成本。最後舉例說明本研究的優點，並進行敏感度分析以檢測當模式參數變化時，此三種模式最佳解的變化情形。

In this paper an inventory model for deteriorating items with time dependent quadratic demand and permissible delay in payments is developed. Shortages are allowed and are partially backlogged. An optimal policy that minimizes the total cost is developed. The objective of this study is to consider three different types of continuous probabilistic deterio-ration functions and to find the associated total cost. To illustrate the proposed model some numerical examples are given. Sensitivity analysis of the optimal solutions with respect to major parameters are carried out and comparison is made between the three models.

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