On the Complexity of Scheduling Problems for Parallel/Pipelined Machines

  • Authors:
  • David Bernstein;Michael Rodeh;Izidor Gertner

  • Affiliations:
  • T. J. Watson Research Center, Yorktown Heights, NY;-;Technion-Israel Institute of Technology, Haifa

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1989

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Abstract

The problem of optimal scheduling of a job system for two dedicated processors is presented. A machine model with two functional units which can be either sequential or pipelined is considered. The complexity of optimal scheduling for a set of expressions on such machines is investigated. Some previous NP-completeness results are reviewed and several new ones are presented. For one restricted case, a polynomial-time algorithm is described and analyzed.