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Implementing Mixed Integer Column Generation

In: Column Generation

Author

Listed:
  • François Vanderbeck

Abstract

We review the main issues that arise when implementing a column generation approach to solve a mixed integer program: setting-up the Dantzig-Wolfe reformulation, adapting standard MIP techniques to the context of column generation (branching, preprocessing, primal heuristics), and dealing with issues specific to column generation (initialization, stabilization, column management strategies). The description of the different features is done in generic terms to emphasize their applicability across problems. More hand-on experiences are reported in the literature in application specific context, f.i., see Desaulniers et al. (2001) for vehicle routing and crew scheduling applications. This paper summarizes recent work in the field, in particular that of Vanderbeck (2002, 2003).

Suggested Citation

  • François Vanderbeck, 2005. "Implementing Mixed Integer Column Generation," Springer Books, in: Guy Desaulniers & Jacques Desrosiers & Marius M. Solomon (ed.), Column Generation, chapter 0, pages 331-358, Springer.
    • Handle: RePEc:spr:sprchp:978-0-387-25486-9_12
    DOI: 10.1007/0-387-25486-2_12
    as

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