Characterizing the BMAP/MAP/1 Departure Process via the ETAQA Truncation

DOI10.1081/STM-200056221zbMath1090.90044MaRDI QIDQ5462819

Armin Heindl, Evgenia Smirni, Qi Zhang

Publication date: 27 July 2005

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

zbMATH Keywords

batch Markovian arrival processesBMAP/MAP/1 queuesoutput characterization

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 (13)

Departure processes and busy periods of a tandem network ⋮ Analysis of \(\mathrm{BMAP}/\mathrm{MSP}/1\) queue ⋮ On the finite buffer queue with renewal input and batch Markovian service process: \(\mathrm{GI}/\mathrm{BMSP}/1/N\) ⋮ Detailed analytical and computational studies of \(D-BMAP/D-BMSP1\) queueing system ⋮ Heavy-Traffic Limit of the GI/GI/1 Stationary Departure Process and Its Variance Function ⋮ The Departure Process for Queueing Systems with Batch Arrival of Customers ⋮ On minimal representations of rational arrival processes ⋮ The two-moment three-parameter decomposition approximation of queueing networks with exponential residual renewal processes ⋮ Modelling and analysis of \(GI/BMSP/1\) queueing system ⋮ Analysis of stationary discrete-time \(GI/D-MSP/1\) queue with finite and infinite buffers ⋮ Finite-Buffer Bulk Service Queue Under Markovian Service Process:GI/MSP^(a,b)/1/N ⋮ Study on the departure process of discrete-time \(Geo/G/1\) queue with randomized vacations ⋮ Some Structural Properties of Markov and Rational Arrival Processes

Cites Work

• Introduction to Matrix Analytic Methods in Stochastic Modeling
• Unnamed Item

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