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中文摘要：
生产系统不完善、自然灾害、运输破损等因素对传统EOQ模型中产品质量100％合格的假设提出了巨大的挑战。本文研究了模糊环境中产品存在质量缺陷情况下允许缺货的库存模型，运用更为一般的LR型模糊数表示缺陷率、缺货成本、订货成本、需求等可能出现不确定情况的参数，建立经济订货批量模型，并运用符号距离法对模型进行反模糊化，确定了使总利润最大化的最优订货批量。最后利用实验仿真验证了模型，分析并揭示了模糊缺陷率等因素对经济订货批量的影响。
英文摘要：
In the classical economic production/order quantity （EPQ/EOQ） models, the items produced/ received are implicitly assumed to have perfect quality, which is challenged by the imperfect production process, natural disasters, damage or breakage in transit, or many other factors in the real world. This paper investigates the inventory problem for items received with imperfect quality and backorder allowed in the fuzzy environment. The imperfect rate, order cost, demand and some other possible uncertainties are expressed byfuzzy number which is more general. Then we develop a model with the uncertainties and employ the signed distance, a ranking method for fuzzy numbers, to find the optimal lot size to maximize the total profit per unit time. At last, we simulate the model with a numerical example and analyze the effect of fuzzy imperfect rate, etc. , on the optimal lot size.
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