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Fuzzy analytic hierarchy process to a structure under 2-out-of-3:F modeling

Author

Listed:
  • Ritu Chandna

    (Graphic Era University)

  • Mangey Ram

    (Graphic Era University)

Abstract

The lack of consistency in reliability modeling under human failure can lead to inconsistent conclusions. However, fuzzy logic allows an address to the ambiguity in reliability modeling. The Analytic Hierarchy Process (AHP) is one of the comprehensively used multi-criteria decision making methods. This paper reveals the application of fuzzy AHP in a structure consisting of a 2-out-of-3:F substructure under human failure. In reliability engineering, failure is a major concern for system design, planning and operations and it is imperative to focus more on system failures. The novelty of this paper is that the major failure rates of the system are selected and the weight of each failure rate is calculated after constructing a pair wise comparison matrix. The fuzzy reliability index is then evaluated with the help of the linguistic variables considered by experts in the form of performance ratings of different reliability indexes, and then the reliability is measured using multi-criteria decision making technique. The contribution of the paper is the ranking of failure rates which shows the relative importance of each failure rate and how it affects the overall system reliability to decide on a desirable action plan.

Suggested Citation

  • Ritu Chandna & Mangey Ram, 2016. "Fuzzy analytic hierarchy process to a structure under 2-out-of-3:F modeling," OPSEARCH, Springer;Operational Research Society of India, vol. 53(4), pages 693-704, December.
    • Handle: RePEc:spr:opsear:v:53:y:2016:i:4:d:10.1007_s12597-016-0255-8
    DOI: 10.1007/s12597-016-0255-8
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    References listed on IDEAS

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    1. Ajit Kumar Verma & Ajit Srividya & Durga Rao Karanki, 2010. "Reliability and Safety Engineering," Springer Series in Reliability Engineering, Springer, number 978-1-84996-232-2, June.
    2. Subhashis Chatterjee & Jeetendra B. Singh & Arunava Roy, 2015. "A structure-based software reliability allocation using fuzzy analytic hierarchy process," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(3), pages 513-525, February.
    3. Mangey Ram & S.B. Singh, 2010. "Analysis of a complex system with common cause failure and two types of repair facilities with different distributions in failure," International Journal of Reliability and Safety, Inderscience Enterprises Ltd, vol. 4(4), pages 381-392.
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    Cited by:

    1. Parveen Sharma & Sandeep Singhal, 2017. "Analysis of facility layout alternatives using proposed integrated approach," OPSEARCH, Springer;Operational Research Society of India, vol. 54(1), pages 1-20, March.
    2. Soheil Azizi & Milad Mohammadi, 2023. "Strategy selection for multi-objective redundancy allocation problem in a k-out-of-n system considering the mean time to failure," OPSEARCH, Springer;Operational Research Society of India, vol. 60(2), pages 1021-1044, June.

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