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首页> 外文期刊>Opsearch: Journal of the Operational Research Society of India >An EPQ model for deteriorating items with imperfect production, inspection errors, rework and shortages : a type?2 fuzzy approach
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An EPQ model for deteriorating items with imperfect production, inspection errors, rework and shortages : a type?2 fuzzy approach

机译：一种EPQ模型，用于恶化具有不完美生产，检测错误，返工和短缺的功能：类型？2模糊方法

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摘要

In this paper, a production inventory model is studied considering imperfect production and deterioration of item, simultaneously. Both the serviceable and reworkable items are assumed to deteriorate with time. A cost-minimizing model is developed incorporating both Type I and Type II inspection errors. Shortages are allowed that are completely backlogged. All the screened items are reworked at the end of the production process. To encounter a more practical situation, the deterioration rate is considered to be a type-2 fuzzy number. Such a situation arises when the vendor assigns, with similar priority, a number of experts to determine the rate of deterioration and the decision given by each expert is in linguistic term, which may be replaced by a fuzzy number. The aim of the proposed model is to calculate the maximum back-order quantity allowed and the optimal lot size that must be produced in order to minimize the overall inventory cost. The problem is solved for both the crisp and fuzzy models and a numerical example with practical application is also presented to exemplify the procedure. A novel method for solving a type-2 fuzzy optimization problem is developed which results in a set of Pareto optimal solutions for the proposed problem. It is followed by presenting a sensitivity analysis of various parameters involved on the decision variables and the cost function for a better illustration of the model.
机译：在本文中，研究了生产库存模型，考虑到不完美的生产和物品的恶化。可以假设可维护和可重新加工的物品随着时间的推移而恶化。开发了一种成本最小化模型，包括I型和II型检测误差。允许的短缺完全积压。所有筛选的物品都在生产过程结束时重新加工。为了遇到更实际的情况，恶化率被认为是2型模糊数。当供应商分配时，出现这种情况，以相似的优先级，确定劣化率的专家以及每个专家给出的语言术语，这可能被模糊数取代。所提出的模型的目的是计算允许的最大背阶数量和必须生产的最佳批量尺寸，以便最小化整体库存成本。对于清晰和模糊模型来解决问题，并且还提出了具有实际应用的数值示例以举例说明该过程。开发了一种求解-2型模糊优化问题的新方法，这导致了一组Pareto最佳解决方案，用于提出的问题。随后是呈现涉及决策变量的各种参数的灵敏度分析，以及用于更好地说明模型的成本函数。

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