The Random Edge Rule on Three-Dimensional Linear Programs

Mathematics – Combinatorics

Scientific paper

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21 pages (10 pages extended abstract + 11 pages appendix)

Scientific paper

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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