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Mission-Based Component Testing for Series Systems

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  • İ. Altınel
  • Bora Çekyay
  • Orhan Feyzioğlu
  • M. Keskin
  • Süleyman Özekici

Abstract

We consider the component testing problem of a device that is designed to perform a mission consisting of a random sequence of phases with random durations. Testing is done at the component level to attain desired levels of mission reliability at minimum cost. The components fail exponentially where the failure rate depends on the phase of the mission. The reliability structure of the device involves a series connection of nonidentical components with different failure characteristics. The optimal component testing problem is formulated as a semi-infinite linear program. We present an algorithmic procedure to compute optimal test times based on the column generation technique, and illustrate it with numerical examples. Copyright Springer Science+Business Media, LLC 2011

Suggested Citation

  • İ. Altınel & Bora Çekyay & Orhan Feyzioğlu & M. Keskin & Süleyman Özekici, 2011. "Mission-Based Component Testing for Series Systems," Annals of Operations Research, Springer, vol. 186(1), pages 1-22, June.
    • Handle: RePEc:spr:annopr:v:186:y:2011:i:1:p:1-22:10.1007/s10479-010-0816-9
    DOI: 10.1007/s10479-010-0816-9
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    References listed on IDEAS

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    1. U. Çakmak & S. Özekici, 2006. "Portfolio optimization in stochastic markets," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 63(1), pages 151-168, February.
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    5. İ K Altınel & S Özekici & O Feyziog̃lu, 2001. "Component testing of repairable systems in multistage missions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(8), pages 937-944, August.
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    Cited by:

    1. Lirong Cui & Shijia Du & Aofu Zhang, 2014. "Reliability measures for two-part partition of states for aggregated Markov repairable systems," Annals of Operations Research, Springer, vol. 212(1), pages 93-114, January.
    2. M. A. Goberna & M. A. López, 2017. "Recent contributions to linear semi-infinite optimization," 4OR, Springer, vol. 15(3), pages 221-264, September.
    3. M. A. Goberna & M. A. López, 2018. "Recent contributions to linear semi-infinite optimization: an update," Annals of Operations Research, Springer, vol. 271(1), pages 237-278, December.

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