Multi-machine Scheduling Problem with Optimal Due Interval Assignment Subject to Generalized sum Type Criterion

  • Adam Janiak
  • Marcin Marek
Conference paper
Part of the Operations Research Proceedings 2001 book series (ORP, volume 2001)


In this paper, we consider a multi-machine scheduling problem, in which to each job a due interval should be assigned. In the scientific literature of scheduling theory, only an assignment of due date was considered. However in our case, to each job a due interval should be assigned. Due interval is a generalization of classical due date and describes a time interval, in which a job should be finished. For the considered problem, we should find a schedule of jobs and a common due interval such that the sum of: the total tardiness, the total earliness and due interval parameters is minimized. We proved an ordinary NP-completeness of the problem using the well known NP-complete partition problem. A heuristic algorithm solving the problem with its experimental analysis is also presented.


Schedule Problem Heuristic Algorithm Partition Problem Total Tardiness Single Machine Schedule Problem 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Adam Janiak
    • 1
  • Marcin Marek
    • 1
  1. 1.Institute of Engineering CyberneticsWroclaw University of TechnologyWroclawPoland

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