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On profust reliability of coherent systems: signature-based expressions

Author

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  • Serkan Eryilmaz
  • Babak Daneshvar Rouyendegh

Abstract

In this article we study profust reliability of non-repairable coherent systems through the concept of system signature. We obtain explicit expressions for the profust reliability and mean time to fuzzy failure of coherent systems. We compute and present mean time to failure and mean time to fuzzy failure of all coherent systems with three and four components. Finally, we illustrate the results for a well known class of coherent systems called m -consecutive- k -out-of- n :F.

Suggested Citation

  • Serkan Eryilmaz & Babak Daneshvar Rouyendegh, 2013. "On profust reliability of coherent systems: signature-based expressions," Journal of Risk and Reliability, , vol. 227(2), pages 173-178, April.
    • Handle: RePEc:sae:risrel:v:227:y:2013:i:2:p:173-178
    DOI: 10.1177/1748006X12474155
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    References listed on IDEAS

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    1. Navarro, Jorge & Rychlik, Tomasz, 2010. "Comparisons and bounds for expected lifetimes of reliability systems," European Journal of Operational Research, Elsevier, vol. 207(1), pages 309-317, November.
    2. Navarro, Jorge & Ruiz, Jose M. & Sandoval, Carlos J., 2005. "A note on comparisons among coherent systems with dependent components using signatures," Statistics & Probability Letters, Elsevier, vol. 72(2), pages 179-185, April.
    3. Francisco J. Samaniego, 2007. "System Signatures and their Applications in Engineering Reliability," International Series in Operations Research and Management Science, Springer, number 978-0-387-71797-5, December.
    4. Francisco J. Samaniego & N. Balakrishnan & Jorge Navarro, 2009. "Dynamic signatures and their use in comparing the reliability of new and used systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(6), pages 577-591, September.
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