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Degeneracy Problems in Mathematical Optimization

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Degeneracy Graphs and Simplex Cycling

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 357))

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Abstract

Simplex cycling in linear optimization is the most popular degeneracy problem9 (cf. Ch. 4). Moreover, the degeneracy phenomenon causes problems in many other fields of mathematical optimization with regard to convergence and the efficiency of the algorithms determining the optimal solution. The following selection10 of problems will provide an impression of the extension of the topic “degeneracy” and its practical importance.

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© 1991 Springer-Verlag Berlin Heidelberg

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Zörnig, P. (1991). Degeneracy Problems in Mathematical Optimization. In: Degeneracy Graphs and Simplex Cycling. Lecture Notes in Economics and Mathematical Systems, vol 357. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45702-9_2

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  • DOI: https://doi.org/10.1007/978-3-642-45702-9_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54593-4

  • Online ISBN: 978-3-642-45702-9

  • eBook Packages: Springer Book Archive

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