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Heuristic procedures for the single facility inspection problem with minimal repair and increasing failure rate

Author

Listed:
  • M Hariga

    (King Saud University)

  • N Azaiez

    (King Saud University)

Abstract

This paper presents the problem of setting inspection schedules for a single imperfect facility undergoing minimal repair once detected in an ‘out-of-control’ state. The problem is modelled under a non-Markovian failure mechanism with increasing failure rate. We show that the profit maximization formulation of the problem is equivalent to the cost minimization formulation and concentrate on the latter. We then develop three heuristic procedures that are shown to be very cost effective based on the results of the numerical examples used for illustration.

Suggested Citation

  • M Hariga & N Azaiez, 2006. "Heuristic procedures for the single facility inspection problem with minimal repair and increasing failure rate," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(9), pages 1081-1088, September.
    • Handle: RePEc:pal:jorsoc:v:57:y:2006:i:9:d:10.1057_palgrave.jors.2602074
    DOI: 10.1057/palgrave.jors.2602074
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    References listed on IDEAS

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    1. Hau L. Lee & Meir J. Rosenblatt, 1987. "Simultaneous Determination of Production Cycle and Inspection Schedules in a Production System," Management Science, INFORMS, vol. 33(9), pages 1125-1136, September.
    2. John J. McCall, 1965. "Maintenance Policies for Stochastically Failing Equipment: A Survey," Management Science, INFORMS, vol. 11(5), pages 493-524, March.
    3. Al-Sultan, K. S. & Al-Fawzan, M. A., 1997. "A tabu search Hooke and Jeeves algorithm for unconstrained optimization," European Journal of Operational Research, Elsevier, vol. 103(1), pages 198-208, November.
    4. A. G. Munford, 1981. "Comparison among Certain Inspection Policies," Management Science, INFORMS, vol. 27(3), pages 260-267, March.
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    Cited by:

    1. Wang, Wenbin, 2009. "An inspection model for a process with two types of inspections and repairs," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 526-533.

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