Fast timing-based algorithms

  • Authors:
  • Rajeev Alur;Gadi Taubenfeld

  • Affiliations:
  • Bell Laboratories, 600 Mountain Avenue, Murray Hill, NJ;The Open University, 16 Klausner Street, P.O. Box 39328, Tel-Aviv 61392, Israel, and AT&T Bell Laboratories

  • Venue:
  • Distributed Computing
  • Year:
  • 1996

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Abstract

Concurrent systems in which there is a known upper bound Δ on memory access time are considered. Two prototypical synchronization problems, mutual exclusion and consensus, are studied, and solutions that have constant (i.e. independent of Δ and the total number of processes) time complexity in the absence of contention are presented. For mutual exclusion, in the absence of contention, a process needs only five accesses to the shared memory to enter its critical section, and in the presence of contention, the winning process may need to delay itself for 4ċ Δ time units. For consensus, in absence of contention, a process decides after four accesses to the shared memory, and in the presence of contention, it may need to delay itself for Δ time units.