Effect of propagation delays on ALOHA systems

Yoshikuni Onozato, Jin Liu, Shigeru Shimamoto, Shoichi Noguchi

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Effect of propagation delays on the steady state behavior in ALOHA systems is investigated. The basic model of ALOHA systems with propagation delays is introduced and analyzed in line with the catastrophe theory. The bifurcation set, which shows the necessary and sufficient condition that the system is either monostable or bistable, is given explicitly in terms of a few system and user parameters including propagation delays. The global behavior of the system is determined by the cusp catastrophe. Analysis of bifurcation sets shows that propagation delays stabilize the system.

Original languageEnglish
Pages (from-to)329-337
Number of pages9
JournalComputer Networks and ISDN Systems
Volume12
Issue number5
DOIs
Publication statusPublished - 1986
Externally publishedYes

Keywords

  • ALOHA
  • Catastrophe theory
  • Performance analysis
  • Propagation delay
  • Queueing theory
  • Random access schemes
  • Steady-state behavior

ASJC Scopus subject areas

  • Computer Science(all)
  • Engineering(all)

Cite this

Effect of propagation delays on ALOHA systems. / Onozato, Yoshikuni; Liu, Jin; Shimamoto, Shigeru; Noguchi, Shoichi.

In: Computer Networks and ISDN Systems, Vol. 12, No. 5, 1986, p. 329-337.

Research output: Contribution to journalArticle

Onozato, Yoshikuni ; Liu, Jin ; Shimamoto, Shigeru ; Noguchi, Shoichi. / Effect of propagation delays on ALOHA systems. In: Computer Networks and ISDN Systems. 1986 ; Vol. 12, No. 5. pp. 329-337.
@article{04a0af9a6bfd44eba58f3123b0a757f9,
title = "Effect of propagation delays on ALOHA systems",
abstract = "Effect of propagation delays on the steady state behavior in ALOHA systems is investigated. The basic model of ALOHA systems with propagation delays is introduced and analyzed in line with the catastrophe theory. The bifurcation set, which shows the necessary and sufficient condition that the system is either monostable or bistable, is given explicitly in terms of a few system and user parameters including propagation delays. The global behavior of the system is determined by the cusp catastrophe. Analysis of bifurcation sets shows that propagation delays stabilize the system.",
keywords = "ALOHA, Catastrophe theory, Performance analysis, Propagation delay, Queueing theory, Random access schemes, Steady-state behavior",
author = "Yoshikuni Onozato and Jin Liu and Shigeru Shimamoto and Shoichi Noguchi",
year = "1986",
doi = "10.1016/0169-7552(86)90062-0",
language = "English",
volume = "12",
pages = "329--337",
journal = "Computer Networks",
issn = "1389-1286",
publisher = "Elsevier",
number = "5",

}

TY - JOUR

T1 - Effect of propagation delays on ALOHA systems

AU - Onozato, Yoshikuni

AU - Liu, Jin

AU - Shimamoto, Shigeru

AU - Noguchi, Shoichi

PY - 1986

Y1 - 1986

N2 - Effect of propagation delays on the steady state behavior in ALOHA systems is investigated. The basic model of ALOHA systems with propagation delays is introduced and analyzed in line with the catastrophe theory. The bifurcation set, which shows the necessary and sufficient condition that the system is either monostable or bistable, is given explicitly in terms of a few system and user parameters including propagation delays. The global behavior of the system is determined by the cusp catastrophe. Analysis of bifurcation sets shows that propagation delays stabilize the system.

AB - Effect of propagation delays on the steady state behavior in ALOHA systems is investigated. The basic model of ALOHA systems with propagation delays is introduced and analyzed in line with the catastrophe theory. The bifurcation set, which shows the necessary and sufficient condition that the system is either monostable or bistable, is given explicitly in terms of a few system and user parameters including propagation delays. The global behavior of the system is determined by the cusp catastrophe. Analysis of bifurcation sets shows that propagation delays stabilize the system.

KW - ALOHA

KW - Catastrophe theory

KW - Performance analysis

KW - Propagation delay

KW - Queueing theory

KW - Random access schemes

KW - Steady-state behavior

UR - http://www.scopus.com/inward/record.url?scp=0022963088&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022963088&partnerID=8YFLogxK

U2 - 10.1016/0169-7552(86)90062-0

DO - 10.1016/0169-7552(86)90062-0

M3 - Article

AN - SCOPUS:0022963088

VL - 12

SP - 329

EP - 337

JO - Computer Networks

JF - Computer Networks

SN - 1389-1286

IS - 5

ER -