Analysis of generalized QBD queues with matrix-geometrically distributed batch arrivals and services

DOI10.1007/s11134-015-9467-5zbMath1338.60221OpenAlexW2192403194MaRDI QIDQ285968

Gábor Horváth

Publication date: 19 May 2016

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: http://real.mtak.hu/34410/1/batchqbd4_revised2.pdf

zbMATH Keywords

batch arrivalmatrix-analytic methodsbatch serviceage processqueue length analysissojourn time analysis

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Related Items (1)

Sojourn-time distribution for \(M/G^a/1\) queue with batch service of fixed size -- revisited

Uses Software

• SMCSolver

Cites Work

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• The semi-markovian queue: theory and applications
• Phase-type representations for matrix-geometric solutions
• Approximation of Large-Scale Dynamical Systems
• A Hessenberg-Schur method for the problem AX + XB= C
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• Non-Skip-Free M/G/1 and G/M/1 Type Markov Chains
• The MMCPP/GE/c queue

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