Analysis of \(\mathrm{BMAP}/\mathrm{MSP}/1\) queue

DOI10.1007/S11009-014-9429-0zbMath1339.60135OpenAlexW1992220428WikidataQ59323804 ScholiaQ59323804MaRDI QIDQ292354

Mohan L. Chaudhry, António Pacheco, Sujit Kumar Samanta

Publication date: 8 June 2016

Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11009-014-9429-0

zbMATH Keywords

rootscharacteristic equationsojourn timequeueing systembatch Markovian arrival processMarkovian service processsystem-length distribution

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Related Items (11)

An algorithmic analysis of the \(BMAP/MSP/1\) generalized processor-sharing queue ⋮ Analysis of a population model with batch Markovian arrivals influenced by Markov arrival geometric catastrophes ⋮ Analytical and computational studies of the BMAP/G(a,Y)/1 queue ⋮ A \(BMAP/BMSP/1\) queue with Markov dependent arrival and Markov dependent service batches ⋮ Queueing systems with correlated arrival flows and their applications to modeling telecommunication networks ⋮ Analysis of BMAP/MSP/1 queue with MAP generated negative customers and disasters ⋮ Detailed analytical and computational studies of \(D-BMAP/D-BMSP1\) queueing system ⋮ Computing conditional sojourn time of a randomly chosen tagged customer in a BMAP/MSP/\(1\) queue under random order service discipline ⋮ 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]

Uses Software

• MCQueue
• QPACK

Cites Work

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• Complete analysis of finite and infinite buffer \(GI/MSP/1\) queue-a computational approach
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• A versatile Markovian point process
• Robustness of Rootfinding in Single-Server Queueing Models
• Asymptotics for steady-state tail probabilities in structured markov queueing models
• Spectral analysis of M/G/1 and G/M/1 type Markov chains
• Characterizing the BMAP/MAP/1 Departure Process via the ETAQA Truncation
• Perturbation theory for the asymptotic decay rates in the queues with Markovian arrival process and/or Markovian service process

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