Faster deterministic wakeup in multiple access channels

  • Authors:
  • Gianluca De Marco;Marco Pellegrini;Giovanni Sburlati

  • Affiliations:
  • Dipartimento di Informatica e Applicazioni, Universití di Salerno, 84081 Baronissi (SA), Italy;Istituto di Informatica e Telematica, Consiglio Nazionale delle Ricerche, via Moruzzi 1, 56124 Pisa, Italy;Istituto di Informatica e Telematica, Consiglio Nazionale delle Ricerche, via Moruzzi 1, 56124 Pisa, Italy

  • Venue:
  • Discrete Applied Mathematics
  • Year:
  • 2007

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Abstract

We consider the fundamental problem of waking up n processors sharing a multiple access channel. We assume the weakest model of synchronization, the locally synchronous model, in which no global clock is available: processors have local clocks ticking at the same rate, but each clock starts counting the rounds in the round in which the correspondent processor wakes up. Moreover, the number n of processors is not known to the processors. We propose a new deterministic algorithm for this problem in time O(n^3log^3n), which improves on the currently best upper bound of O(n^4log^5n).