AN ALTERNATIVE PROOF OF A THEOREM OF TAKACS ON THE GI/M/1 QUEUE.
PURDUE UNIV LAFAYETTE IND
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An analytic proof is given of the fact that the stationary distribution for the imbedded Markov chain in a GIM1 queue is geometric. A generating function for the stationary transition probabilities is obtained as the unique solution to an integro-differential equation, which may be solved by reduction to a Wiener-Hopf equation. Author