Existence and perfect simulation of one-dimensional loss networks

DOI10.1016/j.spa.2006.05.005zbMath1105.60072OpenAlexW2145939679MaRDI QIDQ860707

Nancy L. Garcia, Nevena Marić

Publication date: 9 January 2007

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spa.2006.05.005

zbMATH Keywords

multitype branching processClan of ancestors

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Related Items (4)

Graphical construction of spatial Gibbs random graphs ⋮ Kalikow-type decomposition for multicolor infinite range particle systems ⋮ A hard-core stochastic process with simultaneous births and deaths ⋮ Simulation study for the clan of ancestors in a perfect simulation scheme of a continuous one-dimensional loss network

Cites Work

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• Simulation study for the clan of ancestors in a perfect simulation scheme of a continuous one-dimensional loss network
• Loss networks
• Loss network representation of Peierls contours
• Ergodicity conditions for a continuous one-dimensional loss network
• Perfect simulation for interacting point processes, loss networks and Ising models.
• One-dimensional loss networks and conditioned M/G/∞ queues

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