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首页> 外文期刊>Journal of Mathematics and Statistics >3-Unit System Comprising Two Types of Units with First Come First Served Repair Pattern Except When Both Types of Units are Waiting for Repair | Science Publications
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3-Unit System Comprising Two Types of Units with First Come First Served Repair Pattern Except When Both Types of Units are Waiting for Repair | Science Publications

机译：由两种类型的单元组成的3单元系统，以先到先维修模式提供，除非两种类型的单元都在等待维修。科学出版物

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> Problem statement: In this study we investigated the probabilistic analysis of a three unit system working in a sugar Mill, wherein one unit is big and the other two units are small and identical, is examined. Upon failure of the big unit, both small units are made operative and failed unit is undertaken for repair immediately. Priority for operation is given to the big unit. Priority for repair is given to big unit if both types (i.e., big and small) of units are in queue to get the repair done. System is able to work with full capacity only if big unit or both small units are in good condition. If only one small unit is operable, the system works at reduced capacity. The system under consideration goes to rest during the non-seasonal period. Approach: System was analyzed by making use of semi-Markov processes and regenerative point technique and various measures of the system effectiveness are obtained including the profit incurred to the system. Results: Graphs had been plotted to depict the behavior of the profit with respect to failure rate for different values of repair rate and with respect to revenue per unit up time for which system is working at full capacity for different values of cost for PM/CM. Conclusion: The profit increases with the decrease in the values of the failure rate and with the increase in the values of revenue per unit up time. It has lower (higher) values on increasing the values of cost (repair rate). Cut-off points obtained for failure rate help decide about having the system with failure rate lesser than that the value at cut-off point. Also, the price of the product should be fixed in such a way so as to get the revenue greater than the value at cut-off point.
机译： > 问题陈述：在这项研究中，我们研究了在制糖厂工作的三单元系统的概率分析，其中一个单元很大，而另外两个单元很小且相同，已检查。大单元发生故障时，两个小单元都将运行，发生故障的单元将立即进行维修。优先操作大单元。如果两种类型（即大和小）的设备都在排队等待维修，则优先考虑维修大设备。仅当大单元或两个小单元都处于良好状态时，系统才能满负荷工作。如果只有一个小单元可操作，则系统将以减少的容量工作。所考虑的系统在非季节性期间停止运行。 方法：利用半马尔可夫过程和再生点技术对系统进行了分析，得出了各种系统有效性的度量指标，包括对系统产生的收益。 结果：绘制了图表来描述不同维修率值下故障率和系统正常运行时利润率的相对变化。 PM / CM的成本值。 结论：利润随着故障率值的减少和单位正常运行时间收入值的增加而增加。随着成本（维修率）的增加，它的价值较低（较高）。获得的故障率截止点有助于决定系统的故障率是否小于截止点的值。此外，产品的价格应固定下来，以使收入大于临界点的价值。

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