Technical Note—A Note on the M / M /1 Queue with λ = μ

Diego R. Roque
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Diego R. Roque: Naval Research Laboratory, Washington, D.C.

Operations Research, 1981, vol. 29, issue 6, 1231-1234

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.

Keywords: 705 Markovian queue (M/M/1) in heavy traffic; 568 random walk as model structure; 706 in harmony with diffusion model (search for similar items in EconPapers)
Date: 1981
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