Determining the exit time distribution for a closed cyclic network

DOI10.1016/0304-3975(94)90298-4zbMath0789.60074OpenAlexW2017772804MaRDI QIDQ1318720

Paul E. Wright, William A. Massey, François Baccelli

Publication date: 5 April 1994

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/inria-00076893/file/RR-0832.pdf

zbMATH Keywords

symmetry groupJackson networkquasistationary distributioncyclic networklattice-Bessel functionslimiting behavior of the network

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

A transient symmetry analysis for the \(M/M/1/k\) queue ⋮ Lattice path counting and the theory of queues

Cites Work

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• Markov chain models - rarity and exponentiality
• Calculating exit times for series Jackson networks
• On Quasi-Stationary distributions in absorbing discrete-time finite Markov chains
• Spectral theory for the differential equations of simple birth and death processes

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