Journal of Combinatorial Optimization

, Volume 8, Issue 1, pp 13–28 | Cite as

Flow Shop Scheduling Problems Under Machine–Dependent Precedence Constraints

  • A.A. Gladky
  • Y.M. Shafransky
  • V.A. Strusevich


The paper considers the flow shop scheduling problems to minimize the makespan, provided that an individual precedence relation is specified on each machine. A fairly complete complexity classification of problems with two and three machines is obtained.

flow shop precedence constraints complexity polynomial-time algorithm 


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Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  • A.A. Gladky
    • 1
  • Y.M. Shafransky
    • 1
  • V.A. Strusevich
    • 2
  1. 1.National Academy of Sciences of BelarusInstitute of Engineering CyberneticsMinskRepublic of Belarus
  2. 2.School of Computing and Mathematical SciencesUniversity of GreenwichLondonUK

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