ABSTRACT This paper considers an imperfect manufacturing system with credit policies in fuzzy random environments. The supplier simultaneously offers the retailer either a permissible delay in payments or a cash discount and retailer in turn provides its customer a permissible delay period. We used an alternate approach – discount cash flow analysis to establish an inventory problem. It is assumed that the elapsed time until the machine shifts from ‘in-control’ state to ‘out-of-control’ state is characterized as a fuzzy random variable. As a function of this parameter, the profit function is also a random fuzzy variable. Based on the credibility measure of fuzzy event, the model with fuzzy random elapsed time can be transformed into a crisp model . We establish several theoretical results to obtain the solution that provides the largest present value of all future cash flows. Finally, numerical example is given to illustrate the results and obtain some managerial insights.

中文翻译：

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模糊随机环境下带有贴现现金流分析的不完善制造系统的生产和支付策略

摘要 本文考虑了模糊随机环境下具有信用政策的不完善制造系统。供应商同时向零售商提供允许的付款延迟或现金折扣，零售商反过来为其客户提供允许的延迟期限。我们使用了另一种方法——贴现现金流分析来确定库存问题。假设机器从“控制中”状态转变为“失控”状态之前经过的时间被表征为模糊随机变量。作为这个参数的函数，利润函数也是一个随机的模糊变量。基于模糊事件的可信度度量，可以将模糊随机经过时间的模型转化为清晰的模型。我们建立了几个理论结果以获得提供所有未来现金流量的最大现值的解决方案。最后，给出数值例子来说明结果并获得一些管理见解。