A finite algorithm for concave minimization over a polyhedron

作者: Harold P. Benson

DOI: 10.1002/NAV.3800320119

关键词: Cornacchia's algorithmConcave functionSource codePolyhedronLinear programmingAlgorithmMathematical optimizationCriss-cross algorithmMathematicsFeasible regionAlgorithm design

摘要: We present a new algorithm for solving the problem of minimizing nonseparable concave function over polyhedron. The is branch-and-bound type. It finds globally optimal extreme point solution this in finite number steps. One major advantages that linear programming subproblems solved during search each have same feasible region. discuss and other disadvantages algorithm. also some preliminary computational experience we had with our computer code implementing This involved several bilinear problems code.

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