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Using a birth‐and‐death process to estimate the steady‐state distribution of a periodic queue

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Publication:4632870
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DOI10.1002/nav.21672zbMath1411.90093OpenAlexW2276622541MaRDI QIDQ4632870

James Dong, Ward Whitt

Publication date: 2 May 2019

Published in: Naval Research Logistics (NRL) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nav.21672


zbMATH Keywords

periodic queuesbirth-and-death processesestimating steady-state distributionsfitting models to datagrey-box stochastic model


Mathematics Subject Classification ID

Markov processes: estimation; hidden Markov models (62M05) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Applications of continuous-time Markov processes on discrete state spaces (60J28)


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Heavy-traffic fluid limits for periodic infinite-server queues ⋮ On a class of birth-death processes with time-varying intensity functions ⋮ A survey of parameter and state estimation in queues ⋮ On some integral equations for the evaluation of first-passage-time densities of time-inhomogeneous birth-death processes



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