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Fuzzy Availability Assessment for a Repairable Multistate Series-Parallel System

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  • Linmin Hu
  • Dequan Yue
  • Ruiling Tian

Abstract

This paper considers a repairable multistate series-parallel system (RMSSPS) with fuzzy parameters. It is assumed that the system components are independent, and their state transition rates and performance rates are fuzzy values. The fuzzy universal generating function technique is adopted to determine fuzzy state probability and fuzzy performance rate of the system. On the basis of α -cut approach and the extension principle, parametric programming technique is employed to obtain the α -cuts of some indices for the system. The system fuzzy availability is defined as the ability of the system to satisfy fuzzy consumer demand. A special assessment approach is developed for evaluating the fuzzy steady-state availability of the system with the fuzzy demand. A flow transmission system with three components is presented to demonstrate the validity of the proposed method.

Suggested Citation

  • Linmin Hu & Dequan Yue & Ruiling Tian, 2015. "Fuzzy Availability Assessment for a Repairable Multistate Series-Parallel System," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-11, June.
    • Handle: RePEc:hin:jnddns:156059
    DOI: 10.1155/2015/156059
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    References listed on IDEAS

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    1. Wong, Bo K. & Lai, Vincent S., 2011. "A survey of the application of fuzzy set theory in production and operations management: 1998-2009," International Journal of Production Economics, Elsevier, vol. 129(1), pages 157-168, January.
    2. Petrovic, Dobrila & Xie, Ying & Burnham, Keith & Petrovic, Radivoj, 2008. "Coordinated control of distribution supply chains in the presence of fuzzy customer demand," European Journal of Operational Research, Elsevier, vol. 185(1), pages 146-158, February.
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