U∞ 1S On the Instability of Slotted Aloha with Capture

Yingqun Yu, Georgios B. Giannakis, Xiaodong Cai

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


We analyze the stability properties of slotted Aloha with capture for random access over fading channels with infinitely-many users. We assume that each user node knows only its own uplink channel gain, and uses this decentralized channel state information (CSI) to perform power control and/or probability control. The maximum stable throughput (MST) for a general capture model is obtained by means of drift analysis on the backlog Markov chain. We then specialize our general result to a signal-to-interference-plus-noise ratio (SINR) capture model. Our analysis shows that if the channels of all users are identical and independently distributed (i.i.d.) with finite means, the system is unstable under any kind of power and probability control mechanism that is based only on decentralized CSI.

Original languageEnglish (US)
Pages (from-to)257-261
Number of pages5
JournalIEEE Transactions on Wireless Communications
Issue number2
StatePublished - Feb 2006
Externally publishedYes


  • SINR capture model
  • Slotted Aloha
  • maximum stable throughput
  • stability

ASJC Scopus subject areas

  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Applied Mathematics


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