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A Note on the M/M/1 Queue with λ =μ

Diego R. Roque
Operations Research
Vol. 29, No. 6 (Nov. - Dec., 1981), pp. 1231-1234
Published by: INFORMS
Stable URL: http://www.jstor.org/stable/170376
Page Count: 4
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A Note on the M/M/1 Queue with λ =μ
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Abstract

The simplest Markovian queue where the arrival rate equals the service rate (λ =μ) has been successfully treated using a diffusion approximation that assumes a continuous state space in continuous time. Here it is shown that an intuitively appealing approach using a simple restricted random walk with a discrete state space in discrete time yields the same results.

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