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Redundancy analysis for repairable multi-state system by using combined stochastic processes methods and universal generating function technique

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  • Lisnianski, Anatoly
  • Ding, Yi

Abstract

This paper discusses a type of redundancy that is typical in a multi-state system. It considers two interconnected multi-state systems where one multi-state system can satisfy its own stochastic demand and also can provide abundant resource (performance) to another system in order to improve the assisted system reliability. Traditional methods are usually not effective enough for reliability analysis for such multi-state systems because of the “dimensional curse†problem. This paper presents a new method for reliability evaluation for the repairable multi-state system considering such kind of redundancy. The proposed method is based on the combination of the universal generating function technique and random processes methods. The numerical example is presented to illustrate the proposed method.

Suggested Citation

  • Lisnianski, Anatoly & Ding, Yi, 2009. "Redundancy analysis for repairable multi-state system by using combined stochastic processes methods and universal generating function technique," Reliability Engineering and System Safety, Elsevier, vol. 94(11), pages 1788-1795.
    • Handle: RePEc:eee:reensy:v:94:y:2009:i:11:p:1788-1795
    DOI: 10.1016/j.ress.2009.05.006
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    References listed on IDEAS

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    1. Lisnianski, Anatoly, 2007. "Extended block diagram method for a multi-state system reliability assessment," Reliability Engineering and System Safety, Elsevier, vol. 92(12), pages 1601-1607.
    2. Yeh, Wei-Chang, 2006. "The k-out-of-n acyclic multistate-node networks reliability evaluation using the universal generating function method," Reliability Engineering and System Safety, Elsevier, vol. 91(7), pages 800-808.
    3. Ushakov, Igor, 2000. "The method of generalized generating sequences," European Journal of Operational Research, Elsevier, vol. 125(2), pages 316-323, September.
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