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The Random Edge Rule on Three-Dimensional Linear Programs

Volker Kaibel·Raphael Mechtel·Micha Sharir·Günter M. Ziegler
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Abstract

The worst-case expected length f(n) of the path taken by the simplex algorithm with the Random Edge pivot rule on a 3-dimensional linear program with n constraints is shown to be bounded by 1.3445 n <= f(n) <= 1.4943 n for large enough n.

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Volker Kaibel, Raphael Mechtel, Micha Sharir, Günter M. Ziegler. 2003-01-09. The Random Edge Rule on Three-Dimensional Linear Programs. https://arxiv.org/abs/math/0301076

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