An Optimal Policy for Deteriorating Items With Generalized Deterioration, Trapezoidal-Type Demand, and Shortages

T. Singh, Nirakar Niranjan Sethy, A. Nayak, Hadibandhu Pattnaik
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引用次数: 4

Abstract

This paper focuses an optimal policy of an inventory model for deteriorating items with trapezoidal type demand rate and the three-parameter Weibull distribution deterioration rate. The model allows shortages which are completely backlogged in order to achieve better preserving amenity. The authors present some optimal solutions which leads to determine the total inventory cost in which the collective behavior of customers hinges on the waiting time. An easy-to-use optimization technique is included to find the shortage time point and order quantity to minimize the total system cost. Taking into account the above-mentioned assumptions, different kinds of numerical examples are considered to illustrate the theoretical behavior of the framed optimization model. The sensitivity analysis is made for this problem with variation of parameters. The study shows that the optimal solution not only exists but also is unique and is less expensive to operate if the factors of three-phase variation, representing the growth, the steady, and the decline phases of demand with respect to time are considered.
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具有广义劣化、梯形需求和短缺的劣化物品的最优策略
研究了需求率为梯形、劣化率为三参数威布尔分布的劣化物品库存模型的最优策略。该模型允许完全积压的短缺,以实现更好的保存舒适性。在顾客集体行为取决于等待时间的情况下,给出了确定总库存成本的最优解。采用一种易于使用的优化技术来寻找短缺时间点和订购数量,以使系统总成本最小。考虑到上述假设,考虑了不同类型的数值算例来说明框架优化模型的理论行为。对该问题进行了参数变化的敏感性分析。研究表明,当考虑需求随时间的增长、稳定和下降三个阶段的变化因素时,最优解不仅存在,而且是唯一的,并且运行成本更低。
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来源期刊
CiteScore
1.90
自引率
43.80%
发文量
59
期刊介绍: The International Journal of Information Systems and Supply Chain Management (IJISSCM) provides a practical and comprehensive forum for exchanging novel research ideas or down-to-earth practices which bridge the latest information technology and supply chain management. IJISSCM encourages submissions on how various information systems improve supply chain management, as well as how the advancement of supply chain management tools affects the information systems growth. The aim of this journal is to bring together the expertise of people who have worked with supply chain management across the world for people in the field of information systems.
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