Gossiping by processors prone to omission failures

  • Authors:
  • Dariusz R. Kowalski;Michał Strojnowski

  • Affiliations:
  • Department of Computer Science, The University of Liverpool, Liverpool, L69 3BX, UK;Instytut Informatyki, Uniwersytet Warszawski, ul. Banacha 2, Warszawa 02-097, Poland

  • Venue:
  • Information Processing Letters
  • Year:
  • 2009

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Abstract

We consider the gossip problem in a synchronous message-passing system. Participating processors are prone to omission failures, that is, a faulty processor may fail to send or receive a message. The gossip problem in the fault-tolerant setting is defined as follows: every correct processor must learn the initial value of any other processor, unless the other one is faulty; in the latter case either the initial value or the information about the fault must be learned. We develop two efficient algorithms that solve the gossip problem in time O(logn), where n is the number of processors in the system. The first one is an explicit algorithm (i.e., constructed in polynomial time) sending O(nlogn+f^2) messages, and the second one reduces the message complexity to O(n+f^2), where f is the upper bound on the number of faulty processors.