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Signature-based approach for stress-strength systems

Author

Listed:
  • Zohreh Pakdaman

    (Ferdowsi University of Mashhad)

  • Jafar Ahmadi

    (Ferdowsi University of Mashhad)

  • Mahdi Doostparast

    (Ferdowsi University of Mashhad)

Abstract

This paper deals with the stress-strength system reliability based on signatures. By using signature-based properties of strength systems, the performance of the stress-strength reliability is assessed. It is shown that the survival function of the remaining strength of a system can be expressed as a mixture of the survival functions of the remaining strengths of their components and for systems consisting of exponential components, it is derived explicitly. The optimal system configuration in terms of the signature has been determined under an exponential stress-strength model.

Suggested Citation

  • Zohreh Pakdaman & Jafar Ahmadi & Mahdi Doostparast, 2019. "Signature-based approach for stress-strength systems," Statistical Papers, Springer, vol. 60(5), pages 1631-1647, October.
    • Handle: RePEc:spr:stpapr:v:60:y:2019:i:5:d:10.1007_s00362-017-0889-5
    DOI: 10.1007/s00362-017-0889-5
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    References listed on IDEAS

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    1. 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.
    2. Abdolsaeed Toomaj & Mahdi Doostparast, 2015. "Comparisons of mixed systems with decreasing failure rate component lifetimes using dispersive order," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 31(6), pages 801-808, November.
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    Cited by:

    1. M. S. Kotb & M. Z. Raqab, 2021. "Estimation of reliability for multi-component stress–strength model based on modified Weibull distribution," Statistical Papers, Springer, vol. 62(6), pages 2763-2797, December.

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