Title :
On the Stability of Hybrid ALOHA
Author :
Wang, Huahui ; Li, Tongtong
Author_Institution :
Michigan State Univ., East Lansing
Abstract :
In this paper, we investigate the stability of a general N-user hybrid ALOHA system. Based on the multipacket reception model, the hybrid ALOHA protocol was proposed and the stability region in the case of N = 2 was presented. Utilizing the result for N = 2, in this paper, by means of stochastic dominance and mathematical induction, we find out the sufficient condition for the stability of the more general N > 2 system. In particular, the N = 3 case is closely studied. It is shown that the stability inner bound of the N = 3 system can be obtained by solving a general Riemann-Hilbert problem.
Keywords :
access protocols; queueing theory; stability; stochastic processes; Riemann-Hilbert problem; hybrid ALOHA protocol; mathematical induction; multipacket reception model; queueing systems; stability; stochastic dominance; Application software; Channel estimation; Decoding; Delay estimation; Physical layer; Protocols; Queueing analysis; Stability analysis; Stochastic systems; Sufficient conditions;
Conference_Titel :
Information Sciences and Systems, 2007. CISS '07. 41st Annual Conference on
Conference_Location :
Baltimore, MD
Print_ISBN :
1-4244-1063-3
Electronic_ISBN :
1-4244-1037-1
DOI :
10.1109/CISS.2007.4298373
