Stability of a Markov-modulated Markov Chain, with application to a wireless network governed by two protocols
From MaRDI portal
Publication:5168854
DOI10.1214/11-SSY030zbMath1292.93139arXiv1105.0270OpenAlexW1982204245MaRDI QIDQ5168854
A. M. Tyurlikov, Vsevolod Shneer, Sergeĭ Georgievich Foss
Publication date: 21 July 2014
Full work available at URL: https://arxiv.org/abs/1105.0270
Queueing theory (aspects of probability theory) (60K25) Discrete-time control/observation systems (93C55) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Stochastic stability in control theory (93E15) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20) Network protocols (68M12)
Related Items
Limit theorems and structural properties of the cat-and-mouse Markov chain and its generalisations, LINEAR BIRTH/IMMIGRATION-DEATH PROCESS WITH BINOMIAL CATASTROPHES, Local stability in a transient Markov chain, Non-homogeneous random walks on a semi-infinite strip
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A scaling analysis of a cat and mouse Markov chain
- Markov chains and stochastic stability
- Stability of parallel queueing systems with coupled service rates
- Ergodicity of a slotted ALOHA system
- Stochastic bandwidth packing process: stability conditions via Lyapunov function technique
- On positive Harris recurrence of multiclass queueing networks: A unified approach via fluid limit models
- A particle system in interaction with a rapidly varying environment: mean field limits and applications
- Randomized scheduling algorithm for queueing networks
- AN OVERVIEW OF SOME STOCHASTIC STABILITY METHODS(<Special Issue>Network Design, Control and Optimization)
- Information theory and communication networks: an unconsummated union
- Stability and convergence of moments for multiclass queueing networks via fluid limit models
- Control Techniques for Complex Networks
- Analysis of Stochastic Online Bin Packing Processes
- Stability of queueing networks