Pivoting rules directing the simplex method through all feasible vertices of Klee-Minty examples

Pivoting rules directing the simplex method through all feasible vertices of Klee-Minty examples

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Article ID: iaor1989712
Country: India
Volume: 26
Issue: 2
Start Page Number: 77
End Page Number: 95
Publication Date: Jun 1989
Journal: OPSEARCH
Authors:
Abstract:

The original example of Avis and Chvátal is shown to provide exponential behaviour for certain pivoting rules using past history. A rearrangement of the variables in the example produces an improvement for Bland’s rule. In the completely degenerate case, this improvement replaces a linear growth in the number of pivot steps by an exponential growth.

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