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Optimal redundant systems for works with random processing time

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  • Chen, M.
  • Nakagawa, T.

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.

Suggested Citation

  • Chen, M. & Nakagawa, T., 2013. "Optimal redundant systems for works with random processing time," Reliability Engineering and System Safety, Elsevier, vol. 116(C), pages 99-104.
    • Handle: RePEc:eee:reensy:v:116:y:2013:i:c:p:99-104
    DOI: 10.1016/j.ress.2013.02.009
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    References listed on IDEAS

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    1. Mingchih Chen & Toshio Nakagawa, 2012. "Optimal Scheduling Of Random Works With Reliability Application," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 29(05), pages 1-14.
    2. Toshio Nakagawa, 2008. "Advanced Reliability Models and Maintenance Policies," Springer Series in Reliability Engineering, Springer, number 978-1-84800-294-4, February.
    3. Toshio Nakagawa, 2005. "Maintenance Theory of Reliability," Springer Series in Reliability Engineering, Springer, number 978-1-84628-221-8, February.
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    Cited by:

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    2. Huang, PoTsang B. & Yu, Tsung-Ying & Chou, Yuan-ju & Lin, Yi-Ching, 2016. "Simulation method for dispatching national border security manpower to mitigate manpower shortage," Journal of Air Transport Management, Elsevier, vol. 57(C), pages 43-51.

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