Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Stability Analysis of Hybrid ALOHA Huahui Wang and Tongtong Li | Hindawi Publishing Corporation EURASIP Journal on Wireless Communications and Networking Volume 2010 Article ID 753931 11 pages doi 2010 753931 Research Article Stability Analysis of Hybrid ALOHA Huahui Wang and Tongtong Li Department of Electrical and Computer Engineering Michigan State University East Lansing MI 48824 USA Correspondence should be addressed to Tongtong Li tongli@ Received 22 March 2010 Revised 5 July 2010 Accepted 4 August 2010 Academic Editor Vincent Lau Copyright 2010 H. Wang and T. Li. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. We perform stability analysis of a recently proposed MAC protocol hybrid ALOHA based on the multipacket reception MPR model. Hybrid ALOHA distinguishes from conventional slotted ALOHA by allowing conditional collision-free channel estimation and simultaneous transmissions and hence improves the MPR capability of the system. The stability analysis of the two-user case N 2 has been conducted in our previous work. In this paper we study the stability region of hybrid ALOHA for the general N-user N 2 system. By using the method of stochastic dominance and mathematical induction we obtain the sufficient condition for the stability of hybrid ALOHA. As an illustration we characterize the stability inner bounds for the N 3 case. In this particular situation the results are derived by solving a nonhomogeneous Riemann-Hilbert problem. Potentially the mathematical tools used in this paper can be exploited for obtaining closed-form results in stability analysis of wireless networks. 1. Introduction The study of interacting queueing systems has received enormous attention due to their importance in applications . multiple-access channel models and shared computer processor systems as well as to their theoretical interest. However the theoretical .
