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Inactivity times of coherent systems with dependent components under periodical inspections

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  • Jorge Navarro
  • Camilla Calì

Abstract

If we know that a coherent system has failed before a time t, the inactivity time is the period (from t) in which the system has been broken. If T is the system lifetime, the inactivity time at t is (t−T|T t1. Under this assumption, we obtain representations for the reliability function of the system inactivity time (t2−T|t1

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  • Jorge Navarro & Camilla Calì, 2019. "Inactivity times of coherent systems with dependent components under periodical inspections," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 35(3), pages 871-892, May.
    • Handle: RePEc:wly:apsmbi:v:35:y:2019:i:3:p:871-892
    DOI: 10.1002/asmb.2416
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    Cited by:

    1. Mansour Shrahili & Mohamed Kayid, 2023. "Stochastic Orderings of the Idle Time of Inactive Standby Systems," Mathematics, MDPI, vol. 11(20), pages 1-21, October.
    2. Maryam Kelkinnama & Serkan Eryilmaz, 2023. "Some reliability measures and maintenance policies for a coherent system composed of different types of components," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 86(1), pages 57-82, January.
    3. Jorge Navarro & Camilla Calì & Maria Longobardi & Fabrizio Durante, 2022. "Distortion representations of multivariate distributions," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 31(4), pages 925-954, October.

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