Klee Minty Example

Hi I am interested in knowing what Klee–Minty form or Klee–Minty polytope is and also the examples of the Klee–Minty form or Klee–Minty polytope?

[Rajkumar Agarwal]

The Klee–Minty form or Klee–Minty polytope (named after Victor Klee and George J. Minty) is a unit hypercube of variable measurement whose corners have been annoyed. Klee and Minty showed that George Dantzig's simplex calculation has poor most pessimistic scenario execution when introduced at one corner of their "squashed Cube".

Specifically, numerous improvement calculations for direct streamlining show poor execution when connected to the Klee–Minty 3D shape. In 1973 Klee and Minty demonstrated that Dantzig's simplex calculation was not a polynomial-time calculation when connected to their cube. Later, adjustments of the Klee–Minty solid shape have indicated poor conduct both for different premise trade turning calculations furthermore for inside point calculations.

Portrayal of the cube

The Klee–Minty 3D cube was initially indicated with a parameterized arrangement of direct disparities, with the measurement as the parameter. At the point when the measurement is two, the "3D square" is a squashed square. At the point when the measurement is three, the "shape" is a squashed 3D shape. Representations of the "3D square" have showed up other than logarithmic portrayals



A Klee-Minty Example