The BMAP/G/1 queue with level-dependent arrivals -- An overview

DOI10.1023/A:1016662911145zbMath1030.68697OpenAlexW1500226116MaRDI QIDQ1859102

Jens Hofmann

Publication date: 17 February 2003

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

Full work available at URL: https://doi.org/10.1023/a:1016662911145

zbMATH Keywords

queueing theorystate-dependent arrivalsBMAP/G/1 queue

Mathematics Subject Classification ID

Network design and communication in computer systems (68M10) Queueing theory (aspects of probability theory) (60K25) Computing methodologies and applications (68U99) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20) Continuous-time Markov processes on discrete state spaces (60J27) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (2)

Analysis and computation of the stationary distribution in a special class of Markov chains of level-dependent \(\mathrm{M}/\mathrm{G}/1\)-type and its application to \(\mathrm{BMAP}/\mathrm{M}/\infty\) and \(\mathrm{BMAP}/\mathrm{M}/c+\mathrm{M}\) queues ⋮ Multi-dimensional asymptotically quasi-Toeplitz Markov chains and their application in queueing theory

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