Program/Track B-1/B-1.1/A k-out-of-n Reliability Model with Phase-Type Internal and External Service, N-Policy, and Multiple Server Vacations
A k-out-of-n Reliability Model with Phase-Type Internal and External Service, N-Policy, and Multiple Server Vacations
BINUMON JOSEPH, Jose K. P.
15m
This paper investigates the reliability of a k-out-of-n repairable system with
a single server, offers service to external customers by using idle time. Both
external and internal services are regulated by an N policy. When the number
of failed system components is less than N and the system is free from external
failed components, the server goes on multiple vacations. The failure times
of the system’s components and the arrival rate of externally failed customers
follow an exponential distribution. We use the Matrix Analytic Method to
discuss system stability and steady-state distributions. The N-policy level is
numerically optimized using an appropriate cost function.