A note on single-processor scheduling with time-dependent execution times

  • Authors:
  • Zhi-Long Chen

  • Affiliations:
  • Department of Civil Engineering and Operations Research, Princeton University, Princeton, NJ 08544, USA

  • Venue:
  • Operations Research Letters
  • Year:
  • 1995

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Abstract

We consider a single-processor scheduling model where the execution time of a task is a decreasing linear function of its starting time. The complexity of the problem of minimizing the number of late tasks remains unknown for a set of tasks with identical due dates. We present an O(n^2)-time dynamic programming algorithm for solving this problem.