97-42

The Simplex Method for Submodular Function Minimization

by Girlich, E.; Pisaruk, N.N.

 

Preprint series: 97-42, Preprints

MSC:
90C10 Integer programming

 

Abstract: The primal simplex method is applied for solving the problem of minimizing a submodular function. As far as we know this is the first primal algorithm for the problem. In [2] and [11] the dual simplex method was applied for solving the problem. Here we prove that the both methods are finite. Computational experiments show that these methods are the methods of choise for using in practice.

Keywords: minimization, submodular function, simplex method


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