功率依赖需求和库存水平依赖持有成本函数下的变质物品模糊库存模型

Biswaranjan Mandal
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引用次数: 0

摘要

本文研究了电力需求率和库存水平依赖于持有成本函数的劣化物品模糊库存模型的建立。将损耗率、需求率、持有成本和单位成本视为梯形模糊数。本文分别建立了清晰模型和模糊模型。采用梯度均值积分法(GM)和符号距离法(SD)对模型的总成本进行去模糊化。通过适当的数值算例对两种模型进行了说明,并讨论了最优解对系统参数变化的敏感性分析。最后用模糊模型对两种方法下的总成本进行了图解比较。
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Fuzzy Inventory Model of Deteriorating Items under Power Dependent Demand and Inventory Level Dependent Holding Cost Function
The present paper deals with the development of a fuzzy inventory model of deteriorating itemsunder power demand rate and inventory level dependent holding cost function. The deteriorationrate, demand rate, holding cost and unit cost are considered as trapezoidal fuzzy numbers. Both the crisp model and fuzzy model are developed in this paper. The graded mean integration method(GM) and signed distance method(SD) are used to defuzzify the total cost of the present model. Both the models are illustrated by suitable numerical examples and a sensitivity analysis for the optimal solution towards changes in the system parameters are discussed. Lastly a graphical presentation is furnished to compare the total costs under the above two mentioned methods in the fuzzy model.
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