M. Marseguerra et E. Zio, Optimizing maintenance and repair policies via a combination of genetic algorithms and Monte Carlo simulation, RELIAB ENG, 68(1), 2000, pp. 69-83
In this paper we present an optimization approach based on the combination
of a Genetic Algorithms maximization procedure with a Monte Carlo simulatio
n. The approach is applied within the context of plant logistic management
for what concerns the choice of maintenance and repair strategies. A stocha
stic model of plant operation is developed from the standpoint of its relia
bility/availability behavior, i.e. of the failure/repair/maintenance proces
ses of its components. The model is evaluated by Monte Carlo simulation in
terms of economic costs and revenues of operation. The flexibility of the M
onte Carlo method allows us to include several practical aspects such as st
and-by operation modes, deteriorating repairs, aging, sequences of periodic
maintenances, number of repair teams available for different kinds of repa
ir interventions (mechanical, electronic, hydraulic, etc.), components prio
rity rankings. A genetic algorithm is then utilized to optimize the compone
nts maintenance periods and number of repair teams. The fitness function ob
ject of the optimization is a profit function which inherently accounts for
the safety and economic performance of the plant and whose Value is comput
ed by the above Monte Carlo simulation model. For an efficient combination
of Genetic Algorithms and Monte Carlo simulation, only few hundreds Monte C
arlo histories are performed for each potential solution proposed by the ge
netic algorithm. Statistical significance of the results of the solutions o
f interest (i.e. the best ones) is then attained exploiting the fact that d
uring the population evolution the fit chromosomes appear repeatedly many t
imes. The proposed optimization approach is applied on two case studies of
increasing complexity. (C) 2000 Elsevier Science Ltd. All rights reserved.