{"title":"On the Stability of Hybrid ALOHA","authors":"Huahui Wang, Tongtong Li","doi":"10.1109/CISS.2007.4298373","DOIUrl":null,"url":null,"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.","PeriodicalId":151241,"journal":{"name":"2007 41st Annual Conference on Information Sciences and Systems","volume":"53 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 41st Annual Conference on Information Sciences and Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CISS.2007.4298373","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
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.
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