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Classical Dual-Feasible Functions

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Dual-Feasible Functions for Integer Programming and Combinatorial Optimization

Part of the book series: EURO Advanced Tutorials on Operational Research ((EUROATOR))

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Abstract

Dual-feasible functions (DFF) have been used to improve the resolution of different combinatorial optimization problems with knapsack inequalities, including cutting and packing, scheduling and network routing problems. They were used mainly to compute algorithmic lower bounds, but also to generate valid inequalities for integer programs.

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Authors and Affiliations

  1. Department of Production and Systems, University of Minho, Braga, Portugal

    Cláudio Alves & José Valério de Carvalho

  2. Institut de Mathématiques de Bordeaux, University of Bordeaux, Talence, France

    François Clautiaux

  3. Centro Algoritmi, University of Minho, Braga, Portugal

    Jürgen Rietz

Authors
  1. Cláudio Alves
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  2. François Clautiaux
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  3. José Valério de Carvalho
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  4. Jürgen Rietz
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Alves, C., Clautiaux, F., de Carvalho, J.V., Rietz, J. (2016). Classical Dual-Feasible Functions. In: Dual-Feasible Functions for Integer Programming and Combinatorial Optimization. EURO Advanced Tutorials on Operational Research. Springer, Cham. https://doi.org/10.1007/978-3-319-27604-5_2

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