Optimal redundant systems for works with random processing time
Optimal redundant systems for works with random processing time
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DOI：
10.1016/j.ress.2013.02.009
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发表时间：
2013-08
期刊：
影响因子：
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通讯作者：
Mingchih Chen;T. Nakagawa
中科院分区：
文献类型：
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作者：
Mingchih Chen;T. Nakagawa
研究了具有随机工作时间的制造系统加工作业的最优冗余策略。并联系统和备用系统的冗余单元在连续生产过程中容易发生随机故障。首先，对两个冗余系统考虑一个只包含一个工作的作业，并得到期望成本函数。接下来，假设每个冗余系统具有随机数量的单元，用于单个工作。导出了冗余系统的期望成本函数和最优期望单元数。在此基础上，介绍了并行和备用系统的N个串联工程的生产过程，并总结了期望成本函数。最后，利用泊松分布对并联和备用系统的功量进行估计。通过数值算例说明了冗余系统的优化问题。
This paper studies the optimal redundant policies for a manufacturing system processing jobs with random working times. The redundant units of the parallel systems and standby systems are subject to stochastic failures during the continuous production process. First, a job consisting of only one work is considered for both redundant systems and the expected cost functions are obtained. Next, each redundant system with a random number of units is assumed for a single work. The expected cost functions and the optimal expected numbers of units are derived for redundant systems. Subsequently, the production processes of N tandem works are introduced for parallel and standby systems, and the expected cost functions are also summarized. Finally, the number of works is estimated by a Poisson distribution for the parallel and standby systems. Numerical examples are given to demonstrate the optimization problems of redundant systems.