Saturation in a Markovian parking process

DOI10.1214/aoap/1015345397zbMath1012.60087OpenAlexW2088922729MaRDI QIDQ1872420

F. Javier López, Raúl Gouet

Publication date: 6 May 2003

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

Full work available at URL: https://doi.org/10.1214/aoap/1015345397

zbMATH Keywords

interacting particle systemsquasi-stationary distributionsrandom parking

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Continuous-time Markov processes on discrete state spaces (60J27) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Related Items (1)

The Page-Rényi parking process

Cites Work

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• One-dimensional circuit-switched networks
• The philosophers' process: An ergodic reversible nearest particle system
• Non-negative matrices and Markov chains. 2nd ed
• Loss networks
• Parking arcs on the circle with applications to one-dimensional communication networks
• Dynamic and equilibrium behavior of controlled loss networks
• Interval packing: the vacant interval distribution.
• Order of decay of the wasted space for a stochastic packing problem.
• Parking cars with spin but no length
• Bounds and Policies for Dynamic Routing in Loss Networks
• Stochastic Models of Queue Storage
• A Stochastic Model of Fragmentation in Dynamic Storage Allocation
• Random collision models in oriented graphs
• Refined Asymptotic Approximations to Loss Probabilities and Their Sensitivities in Shared Unbuffered Resources
• On Quasi-Stationary distributions in absorbing discrete-time finite Markov chains
• A one dimensional random space-filling problem
• A Random Interval Filling Problem

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