This paper deals with a maintenance and inventory control problem in a linear connected-(p,r)-out-of-(m, n) Flattice system. It is assumed that all components of the connected-(p,r)-out-of-(m, n) F lattice system are identical and have two states: state 1(operating) and 0(failed). The purpose of this paper is to develop an optimization scheme that aims at minimizing the expected cost per unit time. We considered an age-based preventive maintenance and modified (s, S) inventory policy. To find the optimal maintenance interval and inventory level, a genetic algorithm is proposed. The expected cost per unit time is obtained by a Monte Carlo simulation. Sensitivity analysis to the different cost parameters is done by numerical examples.
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