ABSTRACT

This paper addresses the selective maintenance optimization problem for a multi-mission series-parallel system. Such a system experiences several missions with breaks between successive missions. The reliability of the system is given by the conditional probability that the system survives the next mission given that it has survived the previous mission. The reliability of each system component is characterized by its hazard function. To maintain the reliability of the system, preventive maintenance actions are performed during breaks. Each preventive maintenance action is characterized by its age reduction coefficient. The selective maintenance problem consists in finding an optimal sequence of maintenance actions, to be performed within breaks, so that to minimize the total maintenance cost while providing a given required system reliability level for each mission. To solve such a combinatorial optimization problem, an optimization method is proposed on the basis of the genetic algorithm. A numerical example is provided for illustration.