Stability of spatial wireless systems with random admissible-set scheduling

  • Authors:
  • N. Bouman;S. C. Borst;J. S. H. van Leeuwaarden

  • Affiliations:
  • Eindhoven University of Technology, Eurandom;Eindhoven University of Technology, Alcatel-Lucent Bell Labs;Eindhoven University of Technology, Eurandom

  • Venue:
  • Proceedings of the 5th International ICST Conference on Performance Evaluation Methodologies and Tools
  • Year:
  • 2011

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Abstract

We examine the stability of wireless networks whose users are distributed over a torus. Users arrive at spatially uniform locations with intensity λ and each user has a random number of packets to transmit with mean β. In each time slot, an admissible subset of users is selected uniformly at random to transmit one packet. A subset of users is called admissible when their simultaneous activity obeys the prevailing interference constraints. We consider the SINR model and the protocol model as two canonical models for interference, and denote by μ the maximum number of users in an admissible subset for the model under consideration. We show that the necessary condition λβ