Reliability analysis for single-unit system of warship equipment with one repairman having vacations based on phase-type distribution

As maintenance resources must be dispatched and assigned between warship equipment system, the policy is introduced to a common single-unit system, which is a repairman taking single vacation and multiple vacations, respectively. This paper assumes that single unit lifetime, the time spent on vacation by the repairman, idle time and repairing time all follow different Phase-type distribution, the more applicable interpretive models for system reliability with a repairman taking vacations are built respectively. The reliability features, such as steady-state failure frequency and system mean time between failures, are introduced by these models. Finally, these models are applied by a numerical application and how difference policy affects the system reliability laws will be introduced.