需求负指数、概率劣化和模糊提前期条件下劣化物品的库存模型

IF 0.7 Q4 OPERATIONS RESEARCH & MANAGEMENT SCIENCE
Nabendu Sen, S. Saha
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引用次数: 2

摘要

提前期在库存管理中起着重要的作用。当决策者不能精确地知道交货时间时,研究最优策略也很重要。本文的目的是研究具有模糊前置时间、负指数需求和部分积压短缺的变质物品的库存模型。该模型在其性质上是独特的,由于概率恶化以及模糊的提前期。假设模糊提前时间为三角形、抛物线、梯形数,采用梯度平均积分表示法进行去模糊化。此外,劣化率采用三种不同类型的概率分布,即均匀分布、三角形分布和Beta分布,以找到最优时间和相关的总库存成本。对所建立的模型进行了数值验证,并以表格形式给出了不同概率分布和模糊前置时间下的最优时间和总库存成本值。对关键参数的变化进行敏感性分析,观察其对模型的影响。图形表示也给出了支持导出的最优库存成本与时间。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Inventory model for deteriorating items with negative exponential demand, probabilistic deterioration and fuzzy lead time under partial back logging
The effect of lead time plays an important role in inventory management. It is also important to study the optimal strategies when the lead time is not precisely known to the decision makers. The aim of this paper is to examine the inventory model for deteriorating items with fuzzy lead time, negative exponential demand, and partially backlogged shortages. This model is unique in its nature due to probabilistic deterioration along with fuzzy lead time. The fuzzy lead time is assumed to be triangular, parabolic, trapezoidal numbers and the graded mean integration representation method is used for the defuzzification purpose. Moreover, three different types of probability distributions, namely uniform, triangular and Beta are used for rate of deterioration to find optimal time and associated total inventory cost. The developed model is validated numerically and values of optimal time and total inventory cost are given in tabular form, corresponding to different probability distribution and fuzzy lead-time. The sensitivity analysis is performed on variation of key parameters to observe its effect on the developed model. Graphical representations are also given in support of derived optimal inventory cost vs. time.
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来源期刊
Operations Research and Decisions
Operations Research and Decisions OPERATIONS RESEARCH & MANAGEMENT SCIENCE-
CiteScore
1.00
自引率
25.00%
发文量
16
审稿时长
15 weeks
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