Corpus ID: 16410562

Polyhedral Approaches to Machine Scheduling

@inproceedings{Queyranne2008PolyhedralAT,
  title={Polyhedral Approaches to Machine Scheduling},
  author={M. Queyranne and Andreas S. Schulz},
  year={2008}
}
  • M. Queyranne, Andreas S. Schulz
  • Published 2008
  • Computer Science
  • We provide a review and synthesis of polyhedral approaches to machine scheduling problems. The choice of decision variables is the prime determinant of various formulations for such problems. Constraints, such as facet inducing inequalities for corresponding polyhedra, are often needed, in addition to those just required for the validity of the initial formulation, in order to obtain useful lower bounds and structural insights. We review formulations based on time–indexed variables; on linear… CONTINUE READING
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    References

    SHOWING 1-10 OF 126 REFERENCES
    A polyhedral approach to the delivery man problem
    • 50
    • PDF
    On the facial structure of scheduling polyhedra
    • 110
    Single-Machine Scheduling Polyhedra with Precedence Constraints
    • 83
    Scheduling to minimize average completion time: off-line and on-line algorithms
    • 240
    Formulating the single machine sequencing problem with release dates as a mixed integer program
    • 244
    • PDF
    Parallel Machine Scheduling by Column Generation
    • 136
    • PDF
    A Computational Study of the Job-Shop Scheduling Problem
    • 830