In this work, we study exact continuous reformulations of nonlinear integer programming problems. To this aim, we preliminarily state conditions to guarantee the equivalence between pairs of general nonlinear problems. Then, we prove that optimal solutions of a nonlinear integer programming problem can be obtained by using various exact penalty formulations of the original problem in a continuous space.

Exact Penalty Functions for Nonlinear Integer Programming Problems / Lucidi, Stefano; Rinaldi, Francesco. - In: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. - ISSN 0022-3239. - STAMPA. - 145:3(2010), pp. 479-488. [10.1007/s10957-010-9700-7]

Exact Penalty Functions for Nonlinear Integer Programming Problems

LUCIDI, Stefano;RINALDI, FRANCESCO
2010

Abstract

In this work, we study exact continuous reformulations of nonlinear integer programming problems. To this aim, we preliminarily state conditions to guarantee the equivalence between pairs of general nonlinear problems. Then, we prove that optimal solutions of a nonlinear integer programming problem can be obtained by using various exact penalty formulations of the original problem in a continuous space.
2010
continuous programming; exact penalty functions; nonlinear integer programming; nonlinear programming; optimization
01 Pubblicazione su rivista::01a Articolo in rivista
Exact Penalty Functions for Nonlinear Integer Programming Problems / Lucidi, Stefano; Rinaldi, Francesco. - In: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. - ISSN 0022-3239. - STAMPA. - 145:3(2010), pp. 479-488. [10.1007/s10957-010-9700-7]
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