Uniqueness of stationary ergodic fixed point for a \(./M/K\) node

DOI10.1214/aoap/1177005512zbMath0786.60112OpenAlexW1991717210MaRDI QIDQ1210488

S. Singh

Publication date: 21 April 1994

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoap/1177005512

zbMATH Keywords

networksPoisson processquasireversible queuesstationary ergodic fixed points

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (7)

The 1996 Wald memorial lectures. Stochastic models of interacting systems ⋮ Convergence of tandem Brownian queues ⋮ Joint distribution of Busemann functions in the exactly solvable corner growth model ⋮ On the departure process of the linear loss network ⋮ The existence of fixed points for the \(\cdot\)/GI/1 queue. ⋮ The attractiveness of the fixed points of a \(\cdot/\text{GI}/1\) queue. ⋮ Convergence of Departures in Tandem Networks of·/GI/ ∞ Queues

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