Title
Simultaneous optimisation of test and maintenance intervals of given components using non-homogenous semi-Markov models
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 N-2 equations, which normally are required. Applicability has been shown with a practical example (emergency diesel generators).
Year
DOI
Venue
2001
10.1057/palgrave.jors.2601121
Journal of The Operational Research Society
Keywords
DocType
Volume
marketing,logistics,investment,operations research,inventory,computer science,markov model,production,operational research,location,information technology,management science,scheduling,communications technology,project management,information systems,forecasting,reliability
Journal
52
Issue
ISSN
Citations 
5
0160-5682
0
PageRank 
References 
Authors
0.34
1
4
Name
Order
Citations
PageRank
G Becker100.34
J Nagel200.34
L. Camarinopoulos3386.08
G. Zioutas4113.60