Queuing Problems with Heterogeneous Arrivals and Service

U. Yechiali and P. Naor
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U. Yechiali: New York University, New York, New York
P. Naor: The Technion, Haifa, Israel

Operations Research, 1971, vol. 19, issue 3, 722-734

Abstract: This paper studies a two-level modification of the M / M /1 queuing model where the rate of arrival and the service capacity are subject to Poisson alternations. The ensuing “two-dimensional” problem is analyzed by using partial-generating-function techniques, which appear to be essential in the present context. The steady-state probabilities and the expected queue are evaluated, and numerous special and extreme cases are analyzed in detail.

Date: 1971
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