Technical Note—A Note on theM/M/1 Queue with λ = μ
Operations Research · 1981 · Volume 29 · Issue 6
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
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