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Complexity of Scheduling under Precedence Constraints

Author

Listed:
  • J. K. Lenstra

    (Mathematisch Centrum, Amsterdam, The Netherlands)

  • A. H. G. Rinnooy Kan

    (Erasmus University, Rotterdam, The Netherlands)

Abstract

Precedence constraints between jobs that have to be respected in every feasible schedule generally increase the computational complexity of a scheduling problem. Occasionally, their introduction may turn a problem that is solvable within polynomial time into an NP -complete one, for which a good algorithm is highly unlikely to exist. We illustrate the use of these concepts by extending some typical NP -completeness results and simplifying their correctness proofs for scheduling problems involving precedence constraints.

Suggested Citation

  • J. K. Lenstra & A. H. G. Rinnooy Kan, 1978. "Complexity of Scheduling under Precedence Constraints," Operations Research, INFORMS, vol. 26(1), pages 22-35, February.
    • Handle: RePEc:inm:oropre:v:26:y:1978:i:1:p:22-35
    DOI: 10.1287/opre.26.1.22
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