A stochastic fluid model for an ad hoc mobile network

DOI10.1007/s11134-009-9153-6zbMath1193.90055OpenAlexW1999073708WikidataQ58645459 ScholiaQ58645459MaRDI QIDQ2269502

Guy Latouche, Peter G. Taylor

Publication date: 17 March 2010

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11134-009-9153-6

Mathematics Subject Classification ID

Stochastic network models in operations research (90B15) Queues and service in operations research (90B22) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)

Related Items (15)

NETWORKS OF INTERACTING STOCHASTIC FLUID MODELS ⋮ Stochastic fluid models with positive jumps at level zero ⋮ The stochastic fluid-fluid model: a stochastic fluid model driven by an uncountable-state process, which is a stochastic fluid model itself ⋮ Stochastic fluid models with upward jumps and phase transitions ⋮ Stationary distributions for a class of Markov-modulated tandem fluid queues ⋮ Stationary analysis for the fluid model driven by the \({\mathrm{M}/\mathrm{M}/c}\) working vacation queue ⋮ The Survey on Markov-Modulated Arrival Processes and Their Application to the Analysis of Active Queue Management Algorithms ⋮ Fluid queue driven by an \(M/M/1\) queue subject to Bernoulli-schedule-controlled vacation and vacation interruption ⋮ Stochastic model for maintenance in continuously deteriorating systems ⋮ A Stochastic Two-Dimensional Fluid Model ⋮ Networks of interacting stochastic fluid models with infinite and finite buffers ⋮ Fluid model driven by an \(\mathrm{M}/\mathrm{M}/1\) queue with multiple vacations and \(N\)-policy ⋮ Slowing time: Markov-modulated Brownian motions with a sticky boundary ⋮ Transient Analysis of Fluid Flow Models via Matrix Decomposition ⋮ Componentwise accurate fluid queue computations using doubling algorithms

Uses Software

• OEIS

Cites Work

• Unnamed Item
• Performance measures of a multi-layer Markovian fluid model
• Fluid queues with level dependent evolution
• Algorithms for the Laplace-Stieltjes transforms of first return times for stochastic fluid flows
• Loss networks
• Fluid models in queueing theory and Wiener-Hopf factorization of Markov chains
• Hitting probabilities and hitting times for stochastic fluid flows
• HITTING PROBABILITIES AND HITTING TIMES FOR STOCHASTIC FLUID FLOWS: THE BOUNDED MODEL
• Blocking probabilities in large circuit-switched networks
• Stationary distributions for fluid flow models with or without brownian noise
• Fluid Flow Models and Queues—A Connection by Stochastic Coupling
• Invariant Measures for Fluid Queues

This page was built for publication: A stochastic fluid model for an ad hoc mobile network