Abstract
Kiefer and Wolfowitz (Kiefer, J., J. Wolfowitz. 1955. On the theory of queues with many servers. Amer. Math. Soc. 78 1–18.) showed that there exists a unique proper stationary limiting distribution for the stochastic process representing the workload at arrival epochs in a multiple-server queue when the utilization per server is less than one. An alternate proof of the uniqueness is presented here which avoids using approximating discrete-state Markov chains.
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