caa a22 4500 469067969 CHVBK 20180323132913.0 cr unu---uuuuu 170328e19920601xx s 000 0 eng 10.1007/BF00122052 doi (NATIONALLICENCE)springer-10.1007/BF00122052 Michelon Philippe Départment d'Informatique et de Recherche Opérationelle, Université de Montréal, succursale A, Case postale 6128, H3C 3J7, Montréal, Québec, Canada aut Unconstrained 0-1 nonlinear programming: A nondifferentiable approach [Elektronische Daten] [Philippe Michelon] The purpose of this paper is to give new formulations for the unconstrained 0-1 nonlinear problem. The unconstrained 0-1 nonlinear problem is reduced to nonlinear continuous problems where the objective functions are piecewise linear. In the first formulation, the objective function is a difference of two convex functions while the other formulations lead to concave problems. It is shown that the concave problems we obtain have fewer integer local minima than has the classical concave formulation of the 0-1 unconstrained 0-1 nonlinear problem. Kluwer Academic Publishers, 1992 0-1 nonlinear programming nationallicence concave programming nationallicence piecewise linear functions and local minimum nationallicence Journal of Global Optimization Kluwer Academic Publishers 2/2(1992-06-01), 155-165 0925-5001 2:2<155 1992 2 10898 https://doi.org/10.1007/BF00122052 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00122052 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Michelon Philippe Départment d'Informatique et de Recherche Opérationelle, Université de Montréal, succursale A, Case postale 6128, H3C 3J7, Montréal, Québec, Canada aut NATIONALLICENCE 773 0- Journal of Global Optimization Kluwer Academic Publishers 2/2(1992-06-01), 155-165 0925-5001 2:2<155 1992 2 10898 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer