Optimal arrangement of servers for a tollbooth tandem queue with two heterogeneous servers

초록

We consider a tollbooth tandem queue with a Poisson arrival process and two heterogeneous servers of exponential service times. We show that performance measures, such as queue length, system size, waiting time and sojourn time, are stochastically larger when a server with a larger service rate is used as the first server. Our results include a rigorous proof of the observation made by He and Chao (2014) and Do (2015) regarding the performance comparison between two alternative server arrangements.

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