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

G Becker, J Nagel, L Camarinopoulos and G Zioutas ()
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G Becker: RISA Sicherheitsanalysen GmbH
J Nagel: RISA Sicherheitsanalysen GmbH
L Camarinopoulos: University of Piraeus
G Zioutas: Aristotelian University of Thessaloniki

Journal of the Operational Research Society, 2001, vol. 52, issue 5, 559-566

Abstract: 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).

Keywords: maintenance; Markov processes; reliability; stochastic processes (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1057/palgrave.jors.2601121

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