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Optimal redundant systems for works with random processing time

M. Chen and T. Nakagawa

Reliability Engineering and System Safety, 2013, vol. 116, issue C, 99-104

Abstract: 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.

Keywords: Random processing time; Parallel system; Standby system; Random number of units; Random number of works; Optimal redundant policy (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:116:y:2013:i:c:p:99-104

DOI: 10.1016/j.ress.2013.02.009

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