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Advanced preprocessing techniques for linear and quadratic programming

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Abstract.

The paper presents an overview on the preprocessing techniques of linear programming. A new reduction technique is also introduced and the presolve is extended to mixed integer and quadratic programming problems. Numerical results are presented to demonstrate the impact of presolving in interior point and simplex implementations. The demonstrative results are given on large-scale linear, mixed integer and quadratic programming test problems.

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Authors and Affiliations

  1. Computer and Automation Research Institute, Hungarian Academy of Sciences, Lágymányosi u. 11, 1111, Budapest, Hungary

    Cs Mészáros

  2. Institut für Produktion, Wirtschaftsinformatik und OR, Freie Universität Berlin, Garystraße 21, 14195, Berlin, Germany

    U. H. Suhl

Authors
  1. Cs Mészáros
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  2. U. H. Suhl
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Corresponding author

Correspondence to Cs Mészáros.

Additional information

Cs. Mészáros: Supported in part by Alexander von Humboldt Foundation

Correspondence to: U.H. Suhl

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Mészáros, C., Suhl, U.H. Advanced preprocessing techniques for linear and quadratic programming. OR Spectrum 25, 575–595 (2003). https://doi.org/10.1007/s00291-003-0130-x

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  • DOI: https://doi.org/10.1007/s00291-003-0130-x

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