Explicit solution for the stationary distribution of a discrete-time finite buffer queue

DOI10.3934/JIMO.2016.12.1121zbMath1329.60317OpenAlexW2526161009MaRDI QIDQ898731

Jeongsim Kim, Bara Kim

Publication date: 18 December 2015

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2016.12.1121

zbMATH Keywords

stationary distributiondiscrete-time queuequadratic matrix equationdiscrete-time batch Markovian arrival processmixed matrix-geometric solution

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Related Items (1)

A discrete queue with double thresholds policy and its application to SVC systems

Cites Work

• Statistical multiplexing of VBR sources: A matrix-analytic approach
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• The complete analysis of the discrete time finite DBMAP/G/1/N queue
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