The average number of pivot steps of the simplex-algorithm based on a generalized rotation-symmetry-model (Q486944)
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scientific article; zbMATH DE number 6387658
| Language | Label | Description | Also known as |
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| English | The average number of pivot steps of the simplex-algorithm based on a generalized rotation-symmetry-model |
scientific article; zbMATH DE number 6387658 |
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The average number of pivot steps of the simplex-algorithm based on a generalized rotation-symmetry-model (English)
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19 January 2015
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The authors analyze the average number of pivot steps in the simplex method. They generalize the results of Borgwardt (who assumed the rotation-symmetry-model) to cylindric distributions. The new approach allows to analyze the problems with arbitrary (not necessarily positive) right hand sides of the constraints. These results follow from the solution of a problem from stochastic geometry, closely related to the results of Renyi and Sulanke.
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linear programming
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simplex method
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probabilistic analysis
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average case analysis
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stochastic geometry
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rotation symmetry model
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