An exponential example for Terlaky's pivoting rule for the criss-cross simplex method Article

Received: 20 April 1987 Revised: 01 April 1988 DOI :
10.1007/BF01585729

Cite this article as: Roos, C. Mathematical Programming (1990) 46: 79. doi:10.1007/BF01585729
Abstract Recently T. Terlaky has proposed a new pivoting rule for the criss-cross simplex method for linear programming and he proved that his rule is convergent. In this note we show that the required number of iterations may be exponential in the number of variables and constraints of the problem.

Key words Linear programming pivoting rule Gray code

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Authors and Affiliations 1. Department of Mathematics and Informatics Delft University of Technology Delft The Netherlands