A new look at Markov processes ofG/M/1-type

DOI10.1080/15326349.2015.1115363zbMath1339.60112OpenAlexW2274165898MaRDI QIDQ2811917

Jason Joyner, Brian H. Fralix

Publication date: 9 June 2016

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15326349.2015.1115363

zbMATH Keywords

Laplace transformstationary distributiontransient behaviormatrix-geometric methodtransition functionquasi-birth-death process\(\mathrm{G}/\mathrm{M}/1\)-type Markov processes

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (6)

On the study of the running maximum and minimum level of level-dependent quasi-birth–death processes and related models ⋮ A new look at a smart polling model ⋮ ON THE TIME-DEPENDENT BEHAVIOR OF A MARKOVIAN REENTRANT-LINE MODEL ⋮ On lattice path counting and the random product representation, with applications to the \(E_r/M/1\) queue and the \(M/E_r/1\) queue ⋮ Time-dependent analysis of an \(\mathrm{M}/\mathrm{M}/c\) preemptive priority system with two priority classes ⋮ A further study of some Markovian Bitcoin models from Göbel et al.

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