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Optimal mission duration for systems subject to shocks and internal failures

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  • Maxim Finkelstein
  • Gregory Levitin

Abstract

At many instances, it is more cost-effective to terminate operation of a system than to wait for its failure or completion of a mission. Usually, completion of a mission (contract) results in an additional reward, whereas premature termination results in a penalty. However, the system failure during the mission can incur considerable expenses. As the failure probability increases with the mission time, this can make the mission completion too risky and not beneficial. This article analyzes the optimal mission duration for non-repairable systems subject to shocks and internal failures. Under certain assumptions, an optimal time of mission termination is obtained. It is shown that, if for some reason, the termination is not technically possible at this optimal time, the mission should be terminated within a specific time interval and, if this is not possible, it should not be terminated beyond this interval. Illustrative examples are presented.

Suggested Citation

  • Maxim Finkelstein & Gregory Levitin, 2018. "Optimal mission duration for systems subject to shocks and internal failures," Journal of Risk and Reliability, , vol. 232(1), pages 82-91, February.
    • Handle: RePEc:sae:risrel:v:232:y:2018:i:1:p:82-91
    DOI: 10.1177/1748006X17742767
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    References listed on IDEAS

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    1. Finkelstein, Maxim & Marais, Francois, 2010. "On terminating Poisson processes in some shock models," Reliability Engineering and System Safety, Elsevier, vol. 95(8), pages 874-879.
    2. Maxim Finkelstein, 2008. "Failure Rate Modelling for Reliability and Risk," Springer Series in Reliability Engineering, Springer, number 978-1-84800-986-8, March.
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    9. Montoro-Cazorla, Delia & Pérez-Ocón, Rafael, 2012. "A shock and wear system under environmental conditions subject to internal failures, repair, and replacement," Reliability Engineering and System Safety, Elsevier, vol. 99(C), pages 55-61.
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    12. van der Weide, J.A.M. & Pandey, M.D., 2011. "Stochastic analysis of shock process and modeling of condition-based maintenance," Reliability Engineering and System Safety, Elsevier, vol. 96(6), pages 619-626.
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    14. Maxim Finkelstein & Ji Hwan Cha, 2013. "Shocks as Burn-in," Springer Series in Reliability Engineering, in: Stochastic Modeling for Reliability, edition 127, chapter 0, pages 313-361, Springer.
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    Cited by:

    1. Qiu, Qingan & Cui, Lirong, 2019. "Optimal mission abort policy for systems subject to random shocks based on virtual age process," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 11-20.

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