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This paper considers a Poisson arrival queuing system with an exponential server (server-1) and a general server (server-2) operating under dual control. We extend our analysis of the same queuing system with an infinite buffer to the finite case. The case presented here has many applications in manufacturing, computer centers and telecommunications systems.

AN $M/G/2$ QUEUE WITH A FINITE BUFFER UNDER DUAL CONTROL: STATIONARY LOST AND COST ANALYSIS