Simulation study for the clan of ancestors in a perfect simulation scheme of a continuous one-dimensional loss network

DOI10.1007/s11009-007-9058-yzbMath1177.93076OpenAlexW2095692925MaRDI QIDQ1042540

Nancy L. Garcia, Nevena Marić

Publication date: 14 December 2009

Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11009-007-9058-y

zbMATH Keywords

perfect simulationmultitype branching processclan of ancestors

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Stochastic systems in control theory (general) (93E03) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items

Existence and perfect simulation of one-dimensional loss networks

Cites Work

• Unnamed Item
• Unnamed Item
• Existence and perfect simulation of one-dimensional loss networks
• Loss networks
• An interruptible algorithm for perfect sampling via Markov chains
• A primer on perfect simulation for spatial point processes
• Loss network representation of Peierls contours
• Ergodicity conditions for a continuous one-dimensional loss network
• Dobrushin-Kotecký-Shlosman theorem for polygonal Markov fields in the plane
• Perfect simulation for interacting point processes, loss networks and Ising models.
• One-dimensional loss networks and conditioned M/G/∞ queues
• Perfect simulation of some point processes for the impatient user
• Perfect simulation using dominating processes on ordered spaces, with application to locally stable point processes
• Random dynamics and thermodynamic limits for polygonal Markov fields in the plane