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Reliability evaluation of m-consecutive- k, l-out-of-n: F system subjected to shocks

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  • Fahrettin Özbey

Abstract

In this paper, we propose a shock model for an m -consecutive- k, l -out-of- n: F system. This paper presents a reliability analysis of an m -consecutive- k, l -out-of- n: F system subjected to shocks that destroy a random number of components. One of the main random variables is the number of components affected by successive shocks. Phase-type distributions have been used to model the intervals between successive shocks. The main objective of this study is to show how phase-type distributions can be used to determine the reliability of m -consecutive- k, l -out-of- n: F systems subjected to shocks, which destroy a random number of components. Consideration is given to the optimal replacement time problem, which addresses the minimization of the total long-run average cost per unit time.

Suggested Citation

  • Fahrettin Özbey, 2022. "Reliability evaluation of m-consecutive- k, l-out-of-n: F system subjected to shocks," Journal of Risk and Reliability, , vol. 236(6), pages 1135-1146, December.
    • Handle: RePEc:sae:risrel:v:236:y:2022:i:6:p:1135-1146
    DOI: 10.1177/1748006X211048992
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    References listed on IDEAS

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    1. Manju Agarwal & Pooja Mohan, 2008. "GERT analysis of m-consecutive-k-out-of-n:F system with overlapping runs and (k–1)-step Markov dependence," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 3(1/2), pages 36-51.
    2. Rafiee, Koosha & Feng, Qianmei & Coit, David W., 2017. "Reliability assessment of competing risks with generalized mixed shock models," Reliability Engineering and System Safety, Elsevier, vol. 159(C), pages 1-11.
    3. Eryilmaz, Serkan, 2020. "Age-based preventive maintenance for coherent systems with applications to consecutive-k-out-of-n and related systems," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
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