SMALL DEGENERATE SIMPLICES CAN BE BAD FOR SIMPLEX METHODS

Author:

Mizuno Shinji1,Sukegawa Noriyoshi2,Deza Antoine3

Affiliation:

1. Tokyo Institute of Technology

2. Chuo University

3. McMaster University

Publisher

The Operations Research Society of Japan

Subject

Management Science and Operations Research,General Decision Sciences

Reference10 articles.

1. [1] D. Avis: Postscript to “What is the worst case behavior of the simplex algorithm?” In D. Avis, D. Bremner, and A. Deza (eds.): Polyhedral Computation (Centre de Recherches Mathématiques Series, Montréal, 2009), 145–147.

2. [2] D. Avis and O. Friedmann: An exponential lower bound for Cunningham's rule. Mathematical Programming, 161 (2017), 271–305.

3. [3] G.B. Dantzig: Linear Programming and Extensions (Princeton University Press, Princeton, 1963).

4. [4] T. Kitahara and S. Mizuno: Klee-Minty's LP and upper bounds for Dantzig's simplex method. Operations Research Letters, 39 (2011), 88–91.

5. [5] T. Kitahara and S. Mizuno: Lower bounds for the maximum number of solutions generated by the simplex method. Journal of the Operations Research Society of Japan, 54 (2011), 191–200.

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