Combining Column Generation and Lagrangean Relaxation to Solve a Single-Machine Common Due Date Problem
Published Online:1 Feb 2002https://doi.org/10.1287/ijoc.14.1.37.7706
References
- 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
- Parallel machine scheduling by column generation. Operations Research (1999) 47:862–872Link, Google Scholar
- Time-indexed formulations for machine scheduling problems: column generation. INFORMS Journal on Computing (2000) 12:111–124Link, Google Scholar
- On the assignment ofoptimal due dates. Journal of the Operational Research Society (1989) 40:93–95Crossref, Google Scholar
- Sequencing with earliness and tardiness penalties: a review. Operations Research (1990) 38:22–36Link, Google Scholar
- Branch-and-price: column generation for solving huge integer programs. Operations Research (1998) 46:316–329Link, Google Scholar
- Linear Programming and Network Flows (1990) (Wiley, New York) Google Scholar
- Parallel machine scheduling, linear programming, and parameter list scheduling heuristics. Operations Research (1998) 46:729–741Link, Google Scholar
- Solving parallel machine scheduling problems by column generation. INFORMS Journal on Computing (1999a) 11:78–94Link, Google Scholar
- A column generation based decomposition algorithm for a parallel machine just-in-time scheduling problem. European Journal of Operational Research (1999b) 116:220–232Crossref, Google Scholar
- CPLEX Optimization, IncUsing the cplex™Linear Optimizer (1990) Google Scholar
- Solving a generalized model for CON due-date assignment and scheduling. International Journal of Production Economics (1994) 34:179–185Crossref, Google Scholar
- A new optimization algorithm for the vehicle routing problem with time windows. Operations Research (1992) 40:432–354Link, Google Scholar
- Time constrained routing and scheduling. Handbooks in Operations Research and Management Science (1995) 8(Elsevier, Amsterdam, The Netherlands) 35–139Volume on Network RoutingCrossref, Google Scholar
- A note on bounding a class oflinear programming problems, including cutting stock problems. Operations Research (1990) 38:922–923Link, Google Scholar
- The Lagrangean relaxation method for solving integer programming problems. Management Science (1981) 27:1–18Link, Google Scholar
- Models and techniques for integrating vehicle and crew scheduling (1997) . Ph.D. Thesis, Erasmus University, Rotterdam, The NetherlandsGoogle Scholar
- Lagrangean relaxation for integer programming. Mathematical Programming Study (1974) 2:82–114Crossref, Google Scholar
- Earliness-tardiness scheduling problems. I: Weighted deviation of completion times about a common due date. Operations Research (1991) 39:836–846Link, Google Scholar
- The earliness-tardiness problem with asymmetric weights. (1990) Las Vegas, NevadaPresented at the TIMS/ORSA Joint National MeetingGoogle Scholar
- New lower and upper bounds for scheduling around a small common due date. Operations Research (1994) 42:102–110Link, Google Scholar
- A column generation approach for graph coloring. INFORMS Journal on Computing (1997) 8:344–354Link, Google Scholar
- Computational aspects of a branch-and-bound algorithm for zero-one programming. Computing (1990) 45:131–144Crossref, Google Scholar
- A generalized model ofoptimal due date assignment by linear programming. Journal of the Operational Research Society (1987) 38:353–359Crossref, Google Scholar
- A branch-and-price algorithm for the generalized assignment problem. Operations Research (1997) 45:831–841Link, Google Scholar
- , Dell'Amico M., Maffioli F., Martello S. Decomposition and column generation. Annotated Bibliography of Combinatorial Optimization (1997) (Wiley, Chichester, UK) Google Scholar
- Computational study of a column generation algorithm for bin packing and cutting stock problems. Mathematical Programming (1999) 86:565–594Crossref, Google Scholar
- On Dantzig-Wolfe decomposition in integer programming and ways to perform branching in a branch-and price algorithm. Operations Research (2000) 48:111–128Link, Google Scholar
- An exact algorithm for IP column generation. Operations Research Letters (1996) 19:151–159Crossref, Google Scholar
- Integer Programming (1998) (Wiley, New York) Google Scholar

