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|Title:||A penalty approach for solving nonsmooth and nonconvex MINLP problems|
|Author(s):||Costa, M. Fernanda P.|
Rocha, Ana Maria A. C.
Fernandes, Edite Manuela da G. P.
|Journal:||Springer Proceedings in Mathematics and Statistics|
|Abstract(s):||This paper presents a penalty approach for globally solving nonsmooth and nonconvex mixed-integer nonlinear programming (MINLP) problems. Both integrality constraints and general nonlinear constraints are handled separately by hyperbolic tangent penalty functions. Proximity from an iterate to a feasible promising solution is enforced by an oracle penalty term. The numerical experiments show that the proposed oracle-based penalty approach is effective in reaching the solutions of the MINLP problems and is competitive when compared with other strategies.|
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