Performance analysis for (X,S)-bottleneck cell in large-scale wireless networks

  • Authors:
  • Guofeng Yan;Jianxin Wang;Shuhong Chen

  • Affiliations:
  • School of Information Science and Engineering, Central South University, Changsha, 410083, China and School of Computer and Communication, Hunan Institute of Engineering, China;School of Information Science and Engineering, Central South University, Changsha, 410083, China;School of Information Science and Engineering, Central South University, Changsha, 410083, China

  • Venue:
  • Information Processing Letters
  • Year:
  • 2011

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Abstract

We present a performance analytical model for (X,S)-bottleneck cell and perform some probabilistic analysis on the performances of (X,S)-bottleneck cell, such as the probability of balance state, the transmission probability of a flow, and throughput. To capture the essential aspects of (X,S)-bottleneck cell, we use two-hierarchy Quasi-Birth-Death models (QBDs). The general characters of (X,S)-bottleneck cell are govern by the first hierarchy QBD, while the characters of each flow are captured by the second hierarchy QBD. Based on the model, we present a methodology to derive some theoretic ranges for these probabilities. Our results show that the proposed model can analyze effectively the performance of (X,S)-bottleneck cell. The results in the work are helpful for designing and managing wireless networks.