Abstract
This paper studies the economic behavior of a removable and non-reliable server in an Markovian queueing system with finite capacity under steady-state conditions. The removable server applies the N policy which turns the server on when the queue length reaches the value N, and turns the server off when the system is empty. The server may break down only if operating and require repair at a repair facility. Interarrival and service times of the customers, and breakdown and repair times of the server, are assumed to follow a negative exponential distribution. A cost model is developed to determine the optimal operating N policy numerically in order to minimize the total expected cost per unit time.
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