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首页> 外文期刊>Mathematical Theory and Modeling >Study of Average Losses Caused by Ill-Processing in a Production Line with Immediate Feedback and Multi Server Facility at Each of the Processing Units
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Study of Average Losses Caused by Ill-Processing in a Production Line with Immediate Feedback and Multi Server Facility at Each of the Processing Units

机译：对在每个处理单元具有即时反馈和多服务器功能的生产线中的不良处理造成的平均损失的研究

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摘要

In this paper, we have modeled a production line consisting of an arbitrary number of processing units arranged in a series. Each of the processing units has multi-server facility. Arrivals at the first processing unit are according to Poisson distribution and service times at each of the processing units are exponentially distributed. At each of the processing units, the authors have taken into account immediate feedback and the rejection possibility. Taking into account the stationary behavior of queues in series, the solution for infinite queuing space have been found in the product form. Considering the processing cost at each of the processing units, the average loss to the system due to rejection, caused by ill processing at various processing units, is obtained.
机译：在本文中，我们对一条生产线进行了建模，该生产线由任意数量的一系列处理单元组成。每个处理单元都具有多服务器功能。到达第一处理单元的时间根据泊松分布，每个处理单元的服务时间均呈指数分布。在每个处理单元中，作者都​​考虑了立即反馈和拒绝的可能性。考虑到串联队列的平稳行为，已经在产品形式中找到了无限排队空间的解决方案。考虑到每个处理单元的处理成本，可以获得由于各种处理单元的不良处理而导致的由于拒绝而导致的系统平均损失。

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