On the Stability of Slow-Frequency-Hopped Slotted ALOHA Systems with Retransmission Cutoff
Summary :
Stability of slotted ALOHA systems with retransmission cutoff, in which a packet is discarded after the certain number of unsuccessful transmissions, is investigated on slow-frequency-hopped channels with the aid of the catastrophe theory. The result of this paper can be viewed as extension of the result derived by Kim. The balance function is first formulated. Then, the cusp point and the bifurcation sets are numerically evaluated. We visualize how retransmission cutoff effects on bistable region. Using the result, we can design parameters of slotted ALOHA systems with retransmission cutoff such that the system operates with the unique stable equilibrium point.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E84-A No.10 pp.2404-2409
- Publication Date
- 2001/10/01
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section PAPER (Special Section on Information Theory and Its Applications)
- Category
- Communication Systems
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Katsumi SAKAKIBARA, Jiro YAMAKITA, "On the Stability of Slow-Frequency-Hopped Slotted ALOHA Systems with Retransmission Cutoff" in IEICE TRANSACTIONS on Fundamentals,
vol. E84-A, no. 10, pp. 2404-2409, October 2001, doi: .
Abstract: Stability of slotted ALOHA systems with retransmission cutoff, in which a packet is discarded after the certain number of unsuccessful transmissions, is investigated on slow-frequency-hopped channels with the aid of the catastrophe theory. The result of this paper can be viewed as extension of the result derived by Kim. The balance function is first formulated. Then, the cusp point and the bifurcation sets are numerically evaluated. We visualize how retransmission cutoff effects on bistable region. Using the result, we can design parameters of slotted ALOHA systems with retransmission cutoff such that the system operates with the unique stable equilibrium point.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e84-a_10_2404/_p
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@ARTICLE{e84-a_10_2404,
author={Katsumi SAKAKIBARA, Jiro YAMAKITA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={On the Stability of Slow-Frequency-Hopped Slotted ALOHA Systems with Retransmission Cutoff},
year={2001},
volume={E84-A},
number={10},
pages={2404-2409},
abstract={Stability of slotted ALOHA systems with retransmission cutoff, in which a packet is discarded after the certain number of unsuccessful transmissions, is investigated on slow-frequency-hopped channels with the aid of the catastrophe theory. The result of this paper can be viewed as extension of the result derived by Kim. The balance function is first formulated. Then, the cusp point and the bifurcation sets are numerically evaluated. We visualize how retransmission cutoff effects on bistable region. Using the result, we can design parameters of slotted ALOHA systems with retransmission cutoff such that the system operates with the unique stable equilibrium point.},
keywords={},
doi={},
ISSN={},
month={October},}
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TY - JOUR
TI - On the Stability of Slow-Frequency-Hopped Slotted ALOHA Systems with Retransmission Cutoff
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2404
EP - 2409
AU - Katsumi SAKAKIBARA
AU - Jiro YAMAKITA
PY - 2001
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E84-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 2001
AB - Stability of slotted ALOHA systems with retransmission cutoff, in which a packet is discarded after the certain number of unsuccessful transmissions, is investigated on slow-frequency-hopped channels with the aid of the catastrophe theory. The result of this paper can be viewed as extension of the result derived by Kim. The balance function is first formulated. Then, the cusp point and the bifurcation sets are numerically evaluated. We visualize how retransmission cutoff effects on bistable region. Using the result, we can design parameters of slotted ALOHA systems with retransmission cutoff such that the system operates with the unique stable equilibrium point.
ER -
English
