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Computational experiments in the formulation of large-scale linear programs

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  • Knolmayer, Gerhard

Abstract

One of the decisions in the construction of linear programs is upon the formulation which should be used. This paper explains why there is usually a very large number of equivalent formulations and reports on the computational behavior of these formulations. The usual textbook-hypothesis which Claims that CPU-time increases with the cube of the number of constraints is falsified; it is shown that the advantage of reducing the number of rows may be overcompensated by an increase in the number of nonzeros.

Suggested Citation

  • Knolmayer, Gerhard, 1980. "Computational experiments in the formulation of large-scale linear programs," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 89, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
  • Handle: RePEc:zbw:cauman:89
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    File URL: https://www.econstor.eu/bitstream/10419/190922/1/manuskript_089.pdf
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