Cycling in linear programming problems
Computers and Operations Research
Systematic construction of examples for cycling in the simplex method
Computers and Operations Research
On Hoffman's celebrated cycling LP example
Computers and Operations Research
Short communication: A note on cycling LP examples with permutation structure
Computers and Operations Research
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In 1951, Alan J. Hoffman provided the first example that demonstrated that Dantzig's simplex method for linear programming can cycle (unless special precautions are taken). This paper describes a geometry for understanding Hoffman's example---something that has been lacking for over two-fifths of a century.