Heavy-traffic asymptotics for stationary GI/G/1-type Markov chains

DOI10.1016/J.ORL.2012.01.001zbMath1260.60178OpenAlexW2067888184MaRDI QIDQ439913

Hiroyuki Masuyama, Yutaka Takahashi, Tatsuaki Kimura

Publication date: 17 August 2012

Published in: Operations Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.orl.2012.01.001

zbMATH Keywords

queueingcharacteristic functionheavy-traffic limitGI/G/1-type Markov chain

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Markov renewal processes, semi-Markov processes (60K15)

Related Items (3)

A heavy-traffic-limit formula for the moments of the stationary distribution in GI/G/1-type Markov chains ⋮ Unnamed Item ⋮ Corrigendum to: ``Heavy-traffic asymptotics for stationary \(\mathrm{GI}/\mathrm{G}/1\)-type Markov chains

Cites Work

• Unnamed Item
• The heavy traffic limit of a class of Markovian queueing models
• Censoring, factorizations, and spectral analysis for transition matrices with block-repeating entries
• Non-negative matrices and Markov chains.
• Equilibrium distribution of block-structured Markov chains with repeating rows
• Infinite block-structured transition matrices and their properties
• Applied Probability and Queues
• Heavy traffic analysis of a random walk on a lattice semi-strip
• Duality results for block-structured transition matrices

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