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Scheduling with earliest start and due date constraints on multiple machines

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  • Paul Bratley
  • Michael Florian
  • Pierre Robillard

Abstract

We consider the scheduling of n jobs on m identical machines when the jobs become available for processing at ready times ai, ai, ⩾ 0, require di time units for processing and must be completed by times bi for i = 1, 2, … n. The objective chosen is that of minimizing the total elapsed time to complete all jobs subject to the ready time and due date constraints, preemption is not allowed. We present a multi‐stage solution algorithm for this problem that is based on an implicit enumeration procedure and also uses the labelling type algorithm which solves the problem when preemption is allowed.

Suggested Citation

  • Paul Bratley & Michael Florian & Pierre Robillard, 1975. "Scheduling with earliest start and due date constraints on multiple machines," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 22(1), pages 165-173, March.
    • Handle: RePEc:wly:navlog:v:22:y:1975:i:1:p:165-173
    DOI: 10.1002/nav.3800220113
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