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This slim monograph presents a novel approach to understanding the behavior of the M/M/1 queue and of other Markovian queues with finite capacity. The basic idea is to construct a two-dimensional model of the queueing system, where the two dimensions represent the number of customers who have arrived to the system, and the number of customers who have departed. A closed-form solution is then obtained for this model, from which various performance measures of interest can be derived. The author also presents transient analysis of certain Markovian queues based on this same approach.

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Brief review: Markovian Queues by O.P. Sharma (Ellis Horwood Publishers 1990)

Reviewer-Finkel,
ACM SIGMETRICS Performance Evaluation Review , Volume 19 (3)
Association for Computing MachineryFeb 1, 1992

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