Multi-access system with many users: Stability and metastability

N. D. Vvedenskaya; Yu M. Suhov

doi:10.1134/S0032946007030088

Multi-access system with many users: Stability and metastability

N. D. Vvedenskaya, Yu M. Suhov

Mathematics

Research output: Contribution to journal › Article › peer-review

11 Citations (SciVal)

Abstract

A model of random multi-access system with an ALOHA-type protocol is analyzed when the number N of users is large and the system is overloaded. In the limit as N → ∞ the behavior of the system is described by a nonrandom dynamical system. We give a condition for the dynamical system to have an attractive fixed point and outline cases of several fixed points. The presence of several fixed points indicates that the finite system may exhibit a metastability phenomenon.

Original language	English (US)
Pages (from-to)	263-269
Number of pages	7
Journal	Problems of Information Transmission
Volume	43
Issue number	3
DOIs	https://doi.org/10.1134/S0032946007030088
State	Published - Sep 2007

All Science Journal Classification (ASJC) codes

Information Systems
Computer Science Applications
Computer Networks and Communications

Access to Document

10.1134/S0032946007030088

Cite this

@article{bc304aac4d8e44149af3e820e7f23609,

title = "Multi-access system with many users: Stability and metastability",

abstract = "A model of random multi-access system with an ALOHA-type protocol is analyzed when the number N of users is large and the system is overloaded. In the limit as N → ∞ the behavior of the system is described by a nonrandom dynamical system. We give a condition for the dynamical system to have an attractive fixed point and outline cases of several fixed points. The presence of several fixed points indicates that the finite system may exhibit a metastability phenomenon.",

author = "Vvedenskaya, {N. D.} and Suhov, {Yu M.}",

year = "2007",

month = sep,

doi = "10.1134/S0032946007030088",

language = "English (US)",

volume = "43",

pages = "263--269",

journal = "Problems of Information Transmission",

issn = "0032-9460",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "3",

}

TY - JOUR

T1 - Multi-access system with many users

T2 - Stability and metastability

AU - Vvedenskaya, N. D.

AU - Suhov, Yu M.

PY - 2007/9

Y1 - 2007/9

N2 - A model of random multi-access system with an ALOHA-type protocol is analyzed when the number N of users is large and the system is overloaded. In the limit as N → ∞ the behavior of the system is described by a nonrandom dynamical system. We give a condition for the dynamical system to have an attractive fixed point and outline cases of several fixed points. The presence of several fixed points indicates that the finite system may exhibit a metastability phenomenon.

AB - A model of random multi-access system with an ALOHA-type protocol is analyzed when the number N of users is large and the system is overloaded. In the limit as N → ∞ the behavior of the system is described by a nonrandom dynamical system. We give a condition for the dynamical system to have an attractive fixed point and outline cases of several fixed points. The presence of several fixed points indicates that the finite system may exhibit a metastability phenomenon.

UR - http://www.scopus.com/inward/record.url?scp=35848954056&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=35848954056&partnerID=8YFLogxK

U2 - 10.1134/S0032946007030088

DO - 10.1134/S0032946007030088

M3 - Article

AN - SCOPUS:35848954056

SN - 0032-9460

VL - 43

SP - 263

EP - 269

JO - Problems of Information Transmission

JF - Problems of Information Transmission

IS - 3

ER -

Multi-access system with many users: Stability and metastability

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this