Simulation study for the optimal repair capacity of an IT maintenance center based on LRD failure distribution

Consider various host systems that consist of both hardware and software. There is an IT center which governs the activities of all of those host systems including the reported failures. The center's major concern is deciding the proper level of repair capacity for various kinds of failures due to hardware, software, and operator related problems where corresponding failure and repair times may exhibit fairly large variations. In this paper, we use Monte Carlo simulation in order to decide the optimal repair capacity when both failures and repair times of individual host systems exhibit long range dependent (LRD) property. In terms of both utilization rate and the maximum waiting time, we suggest optimal capacity. Various sensitivity analyses follow.