Abstract
We consider a two server stochastic inventory system under N-policy. Demand for the items occurs one at a time according to a Poisson process. Server1 is always available and Server2 is activated on the accumulation of N(>1) demands in the system. As soon as the services of all waiting demands are completed, server2 becomes idle and reactivate only on the accumulation of N units. Assume that service times of both servers are independent and non-identical exponential random variables. We derived the joint probability distribution of the waiting customers, server state and inventory level in the steady state and computed various system performance measures. A cost analysis is carried out and numerical illustrations are provided.
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