The effect of limiting the number of retransmission trials on the stability of slotted ALOHA systems

被引:37
作者
Sakakibara, K [1 ]
Muta, H [1 ]
Yuba, Y [1 ]
机构
[1] Okayama Prefectural Univ, Dept Commun, Soja 7191197, Japan
关键词
cusp catastrophe; limited retransmission trials; slotted ALOHA; stability;
D O I
10.1109/25.875281
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
We investigate the effect of limiting the number of retransmission trials on the stability of slotted ALOHA systems with no capture effect. Using an argument of the catastrophe theory, we prove that a slotted ALOHA system is mono-stable, if the number of retransmission trials is limited to, at most, eight. We also show how the bistable region is enlarged, as the number of retransmission trials grows over eight.
引用
收藏
页码:1449 / 1453
页数:5
相关论文
共 10 条
[1]   BISTABLE BEHAVIOR OF ALOHA-TYPE SYSTEMS [J].
CARLEIAL, AB ;
HELLMAN, ME .
IEEE TRANSACTIONS ON COMMUNICATIONS, 1975, CO23 (04) :401-410
[2]   INTRODUCTION TO CATASTROPHE THEORY AND ITS APPLICATIONS [J].
GOLUBITSKY, M .
SIAM REVIEW, 1978, 20 (02) :352-387
[3]  
JEONG DG, 1995, IEEE T VEH TECHNOL, V44, P470, DOI 10.1109/25.406614
[4]   STOCHASTIC CATASTROPHE-THEORY IN COMPUTER-PERFORMANCE MODELING [J].
NELSON, R .
JOURNAL OF THE ACM, 1987, 34 (03) :661-685
[5]   EFFECT OF PROPAGATION DELAYS ON ALOHA SYSTEMS [J].
ONOZATO, Y ;
LIU, J ;
SHIMAMOTO, S ;
NOGUCHI, S .
COMPUTER NETWORKS AND ISDN SYSTEMS, 1986, 12 (05) :329-337
[6]   STABILITY OF A SLOTTED ALOHA SYSTEM WITH CAPTURE EFFECT [J].
ONOZATO, Y ;
LIU, J ;
NOGUCHI, S .
IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY, 1989, 38 (01) :31-36
[7]   ON THE THRASHING CUSP IN SLOTTED ALOHA SYSTEMS [J].
ONOZATO, Y ;
NOGUCHI, S .
IEEE TRANSACTIONS ON COMMUNICATIONS, 1985, 33 (11) :1171-1182
[8]   PERFORMANCE APPROXIMATION OF A MULTI-BASE STATION SLOTTED ALOHA FOR WIRELESS LANS [J].
SAKAKIBARA, K .
IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY, 1992, 41 (04) :448-454
[9]  
Sakakibara K, 1998, IEICE T FUND ELECTR, VE81A, P2092
[10]   STABILITY OF MOBILE SLOTTED ALOHA NETWORK WITH RAYLEIGH FADING, SHADOWING, AND NEAR FAR EFFECT [J].
VANDERPLAS, C ;
LINNARTZ, JPMG .
IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY, 1990, 39 (04) :359-366