Interruptible algorithms for multi-problem solving

  • Authors:
  • Spyros Angelopoulos;Alejandro López-Ortiz

  • Affiliations:
  • Max Planck Institute for Computer Science, Saarbrücken, Germany;Cheriton School of Computer Science, University of Waterloo, Waterloo, Canada

  • Venue:
  • IJCAI'09 Proceedings of the 21st international jont conference on Artifical intelligence
  • Year:
  • 2009

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Abstract

In this paper we address the problem of designing an interruptible system in a setting in which n problem instances, all equally important, must be solved. The system involves scheduling executions of contract algorithms (which offer a trade-off between allowable computation time and quality of the solution) in m identical parallel processors. When an interruption occurs, the system must report a solution to each of the n problem instances. The quality of this output is then compared to the best-possible algorithm that has foreknowledge of the interruption time and must, likewise, produce solutions to all n problem instances. This extends the well-studied setting in which only one problem instance is queried at interruption time. We propose a schedule which we prove is optimal for the case of a single processor. For multiple processors, we show that the quality of the schedule is within a small factor from optimal.