Scheduling involves planning and arranging jobs across a coordinated set of events to satisfy the customer’s demands. In this article, we present a simple approach for the flow-shop (FS) scheduling problem under fuzzy environment in which processing time of jobs are represented by pentagonal fuzzy numbers. This study is intended to reduce the rental cost of the machine in compliance with the rental policy. The fuzzy FS scheduling problem is solved without converting the processing time into its equivalent crisp numbers using a robust ranking technique and a fuzzy arithmetic pentagonal fuzzy numbers. A numerical illustration indicates that the approach is workable, accurate, and relevant.

中文翻译：

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具有五角模糊处理时间的流水车间调度问题

计划包括在一系列协调的事件中计划和安排工作，以满足客户的需求。在本文中，我们提出了一种在模糊环境下以五边形模糊数表示作业处理时间的流水车间（FS）调度问题的简单方法。这项研究旨在降低符合租赁政策的机器的租赁成本。解决了模糊FS调度问题，而无需使用鲁棒排序技术和模糊算术五边形模糊数将处理时间转换为其等效的清晰数。数值图示表明该方法是可行，准确和相关的。