Loss pattern of \(\mathrm{DBMAP}/\mathrm{DMSP}/1/K\) queue and its application in wireless local communications

DOI10.1016/J.APM.2010.10.009zbMath1217.90077OpenAlexW2077129585MaRDI QIDQ552414

Yung-Chung Wang, Shun-Yuan Wang, Jen-Hsiang Chou

Publication date: 21 July 2011

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2010.10.009

zbMATH Keywords

matrix-analytic methoddiscrete-time batch Markovian arrival processdiscrete-time Markovian service processloss distanceloss period

Mathematics Subject Classification ID

Communication networks in operations research (90B18) Queues and service in operations research (90B22)

Related Items (8)

Analytic and computational analysis of the discrete-time \(GI/D\)-\(MSP/1\) queue using roots ⋮ Stationary analysis of a discrete-time GI/D-MSP/1 queue with multiple vacations ⋮ Detailed analytical and computational studies of \(D-BMAP/D-BMSP1\) queueing system ⋮ Elucidating the short term loss behavior of Markovian-modulated batch-service queueing model with discrete-time batch Markovian arrival process ⋮ Performance analysis of a \(GI/D\)-\(MSP/1/\infty\) queueing system under different service phase initiations ⋮ Modelling and analysis of \(GI/BMSP/1\) queueing system ⋮ Analyzing discrete-time \(GI^{[X}/D-MSP/1/\infty\) queueing system using \(RG\)-factorization] ⋮ Queue-length, waiting-time and service batch size analysis for the discrete-time \(GI/D-MSP^{\text{(a,b)}}/1/\infty\) queueing system

Cites Work

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• Stationary distribution of a finite queue with recurrent input and Markov service
• Complete analysis of finite and infinite buffer \(GI/MSP/1\) queue-a computational approach
• Analyzing the finite buffer batch arrival queue under Markovian service process: \(\mathrm{GI}^X /\mathrm{MSP}/1/\mathrm{N}\)
• Statistical multiplexing of VBR sources: A matrix-analytic approach
• Loss behavior in space priority queue with batch Markovian arrival process — discrete-time case

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