Minimizing the number of tardy jobs with stochastically-ordered processing times

  • Authors:
  • Dan Trietsch;Kenneth R. Baker

  • Affiliations:
  • College of Engineering, American University of Armenia, Yerevan, Armenia;Tuck School, Dartmouth College, Hanover, USA 03755

  • Venue:
  • Journal of Scheduling
  • Year:
  • 2008

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Abstract

We consider the single-machine sequencing model with stochastic processing times and the problem of minimizing the number of stochastically tardy jobs. In general, this problem is NP-hard. Recently, however, van den Akker and Hoogeveen found some special cases that could be solved in polynomial time. We generalize their findings by providing a polynomial time solution for any stochastically ordered processing times.