Effect of propagation delays on ALOHA systems

Yoshikuni Onozato; Jin Liu; Shigeru Shimamoto; Shoichi Noguchi

doi:10.1016/0169-7552(86)90062-0

Effect of propagation delays on ALOHA systems

Yoshikuni Onozato^*, Jin Liu, Shigeru Shimamoto, Shoichi Noguchi

^*Corresponding author for this work

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

13 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 language	English
Pages (from-to)	329-337
Number of pages	9
Journal	Computer Networks and ISDN Systems
Volume	12
Issue number	5
DOIs	https://doi.org/10.1016/0169-7552(86)90062-0
Publication status	Published - 1986
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Engineering(all)

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10.1016/0169-7552(86)90062-0

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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",

note = "Funding Information: * This work was supported in part by Grants-in-Aid for Scientific Research No. 61750322 from the Ministry of Education, Science and Culture.",

year = "1986",

doi = "10.1016/0169-7552(86)90062-0",

language = "English",

volume = "12",

pages = "329--337",

journal = "Computer Networks and ISDN Systems",

issn = "0169-7552",

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

N1 - Funding Information: * This work was supported in part by Grants-in-Aid for Scientific Research No. 61750322 from the Ministry of Education, Science and Culture.

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

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

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

M3 - Article

AN - SCOPUS:0022963088

SN - 0169-7552

VL - 12

SP - 329

EP - 337

JO - Computer Networks and ISDN Systems

JF - Computer Networks and ISDN Systems

IS - 5

ER -

Effect of propagation delays on ALOHA systems

Abstract

Keywords

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