Combining Column Generation and Lagrangean Relaxation to Solve a Single-Machine Common Due Date Problem

References

  • van den Akker J. M., Hoogeveen J. A., van de Velde S. L. A column generation algorithm for common due date scheduling. (1996) . Working Paper LPOM-96-13, Faculty ofMechanical Engineering, University of Twente, Enschede, The NetherlandsGoogle Scholar
  • van den Akker J. M., Hoogeveen J. A., van de Velde S. L. Parallel machine scheduling by column generation. Operations Research (1999) 47:862–872LinkGoogle Scholar
  • van den Akker J. M., Hurkens C. A. J., Savelsbergh M. W. P. Time-indexed formulations for machine scheduling problems: column generation. INFORMS Journal on Computing (2000) 12:111–124LinkGoogle Scholar
  • Baker K. R., Scudder G. D. On the assignment ofoptimal due dates. Journal of the Operational Research Society (1989) 40:93–95CrossrefGoogle Scholar
  • Baker K. R., Scudder G. D. Sequencing with earliness and tardiness penalties: a review. Operations Research (1990) 38:22–36LinkGoogle Scholar
  • Barnhart C., Johnson E. L., Nemhauser G.L., Savelsbergh M. W. P., Vance P. H. Branch-and-price: column generation for solving huge integer programs. Operations Research (1998) 46:316–329LinkGoogle Scholar
  • Bazaraa M. S., Jarvis J. J., Sherali H. D.Linear Programming and Network Flows (1990) (Wiley, New York) Google Scholar
  • Chan L. M. A., Muriel A., Simchi-Levi D. Parallel machine scheduling, linear programming, and parameter list scheduling heuristics. Operations Research (1998) 46:729–741LinkGoogle Scholar
  • Chen Z. L., Powell W. P. Solving parallel machine scheduling problems by column generation. INFORMS Journal on Computing (1999a) 11:78–94LinkGoogle Scholar
  • Chen Z. L., Powell W. P. A column generation based decomposition algorithm for a parallel machine just-in-time scheduling problem. European Journal of Operational Research (1999b) 116:220–232CrossrefGoogle Scholar
  • CPLEX Optimization, IncUsing the cplex™Linear Optimizer (1990) Google Scholar
  • De P., Ghosh J., Wells C. E. Solving a generalized model for CON due-date assignment and scheduling. International Journal of Production Economics (1994) 34:179–185CrossrefGoogle Scholar
  • Desrochers M., Desrosiers J., Solomon M. A new optimization algorithm for the vehicle routing problem with time windows. Operations Research (1992) 40:432–354LinkGoogle Scholar
  • Desrosiers J., Dumas Y., Salomon M. M., Soumis F. Time constrained routing and scheduling. Handbooks in Operations Research and Management Science (1995) 8(Elsevier, Amsterdam, The Netherlands) 35–139Volume on Network RoutingCrossrefGoogle Scholar
  • Farley A. A. A note on bounding a class oflinear programming problems, including cutting stock problems. Operations Research (1990) 38:922–923LinkGoogle Scholar
  • Fisher M. L. The Lagrangean relaxation method for solving integer programming problems. Management Science (1981) 27:1–18LinkGoogle Scholar
  • Freling R.Models and techniques for integrating vehicle and crew scheduling (1997) . Ph.D. Thesis, Erasmus University, Rotterdam, The NetherlandsGoogle Scholar
  • Geoffrion A. M. Lagrangean relaxation for integer programming. Mathematical Programming Study (1974) 2:82–114CrossrefGoogle Scholar
  • Hall N. G., Posner M. E. Earliness-tardiness scheduling problems. I: Weighted deviation of completion times about a common due date. Operations Research (1991) 39:836–846LinkGoogle Scholar
  • Hall N. G., Sriskandarajah C. The earliness-tardiness problem with asymmetric weights. (1990) Las Vegas, NevadaPresented at the TIMS/ORSA Joint National MeetingGoogle Scholar
  • Hoogeveen J. A., Oosterhout H., van de Velde S. L. New lower and upper bounds for scheduling around a small common due date. Operations Research (1994) 42:102–110LinkGoogle Scholar
  • Mehrotra A., Trick M. A. A column generation approach for graph coloring. INFORMS Journal on Computing (1997) 8:344–354LinkGoogle Scholar
  • Pardalos P. M., Rodgers G. P. Computational aspects of a branch-and-bound algorithm for zero-one programming. Computing (1990) 45:131–144CrossrefGoogle Scholar
  • Quaddus M. A. A generalized model ofoptimal due date assignment by linear programming. Journal of the Operational Research Society (1987) 38:353–359CrossrefGoogle Scholar
  • Savelsbergh M. W. P. A branch-and-price algorithm for the generalized assignment problem. Operations Research (1997) 45:831–841LinkGoogle Scholar
  • Soumis F., Dell'Amico M., Maffioli F., Martello S. Decomposition and column generation. Annotated Bibliography of Combinatorial Optimization (1997) (Wiley, Chichester, UK) Google Scholar
  • Vanderbeck F. Computational study of a column generation algorithm for bin packing and cutting stock problems. Mathematical Programming (1999) 86:565–594CrossrefGoogle Scholar
  • Vanderbeck F. On Dantzig-Wolfe decomposition in integer programming and ways to perform branching in a branch-and price algorithm. Operations Research (2000) 48:111–128LinkGoogle Scholar
  • Vanderbeck F., Wolsey L. A. An exact algorithm for IP column generation. Operations Research Letters (1996) 19:151–159CrossrefGoogle Scholar
  • Wolsey L. A.Integer Programming (1998) (Wiley, New York) Google Scholar
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