Quasi-optimal energy-efficient leader election algorithms in radio networks

  • Authors:
  • Christian Lavault;Jean-François Marckert;Vlady Ravelomanana

  • Affiliations:
  • LIPN, CNRS UMR 7030, Université Paris 13, 99, av. J.-B. Clément, 93430 Villetaneuse, France;CNRS, LaBRI Université Bordeaux 1, 351, cours de la Libération, 33405 Talence cedex, France;LIPN, CNRS UMR 7030, Université Paris 13, 99, av. J.-B. Clément, 93430 Villetaneuse, France

  • Venue:
  • Information and Computation
  • Year:
  • 2007

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Abstract

Radio networks (RN) are distributed systems (ad hoc networks) consisting in n=2 radio stations. Assuming the number n unknown, two distinct models of RN without collision detection (no-CD) are addressed: the model with weak no-CD RN and the one with strong no-CD RN. We design and analyze two distributed leader election protocols, each one running in each of the above two (no-CD RN) models, respectively. Both randomized protocols are shown to elect a leader within O(log(n)) expected time, with no station being awake for more than O(loglog(n)) time slots (such algorithms are said to be energy-efficient). Therefore, a new class of efficient algorithms is set up that match the @W(log(n)) time lower-bound established by Kushilevitz and Mansour [E. Kushilevitz, Y. Mansour, An @W(Dlog(N/D)) lower-bound for broadcast in radio networks, SIAM J. Comp. 27 (1998) 702-712).].