Generation of Degenerate Linear Programming Problems

C. C. Gonzaga ()
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C. C. Gonzaga: Federal University of Santa Catarina

Journal of Optimization Theory and Applications, 2007, vol. 135, issue 3, No 2, 333-342

Abstract: Abstract We present a method for constructing linear programming problems with randomly generated data. Besides the number of variables and constraints, the dimensions of the primal and dual faces are given. We show that, for problems in which the constraint matrix is carelessly constructed with random entries, with probability one only one between primal degeneracy and dual degeneracy appears.

Keywords: Linear programming; Degenerate problems; Problem generation (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1007/s10957-007-9268-z

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