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Simultaneous optimisation of test and maintenance intervals of given components using non-homogenous semi-Markov models

Author

Listed:
  • G Becker

    (RISA Sicherheitsanalysen GmbH)

  • J Nagel

    (RISA Sicherheitsanalysen GmbH)

  • L Camarinopoulos

    (University of Piraeus)

  • G Zioutas

    (Aristotelian University of Thessaloniki)

Abstract

A model was developed for simultaneous optimisation of test and maintenance intervals of components, where failures are not self-annunciated but observable only by tests or true demands. Costs caused by maintenance, tests and repairs constitute a complicated objective function for optimisation. An average non-availability, which must not be exceeded for safety reasons, is given as the main condition. In order to compute the objective function, a suitable non-homogeneous semi-Markov process was taken as the mathematical model and the descriptive integral equations were solved numerically. This was possible by using frequency densities h rj (t) rather than transition probabilities p ij (t) as a base for calculation. Hence, for a process with N states, a formulation as an initial value problem with N dependent integral equations can be developed as opposed to N2 equations, which normally are required. Applicability has been shown with a practical example (emergency diesel generators).

Suggested Citation

  • G Becker & J Nagel & L Camarinopoulos & G Zioutas, 2001. "Simultaneous optimisation of test and maintenance intervals of given components using non-homogenous semi-Markov models," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(5), pages 559-566, May.
    • Handle: RePEc:pal:jorsoc:v:52:y:2001:i:5:d:10.1057_palgrave.jors.2601121
    DOI: 10.1057/palgrave.jors.2601121
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