caa a22 4500 463169859 CHVBK 20180406164810.0 cr unu---uuuuu 170326e20070101xx s 000 0 eng 10.1007/s10957-006-9082-z doi (NATIONALLICENCE)springer-10.1007/s10957-006-9082-z Zhang Y. Department of Computational and Applied Mathematics, Rice University, Houston, Texas, USA aut General Robust-Optimization Formulation for Nonlinear Programming [Elektronische Daten] [Y. Zhang] Most research in robust optimization has been focused so far on inequality-only, convex conic programming with simple linear models for the uncertain parameters. Many practical optimization problems, however, are nonlinear and nonconvex. Even in linear programming, the coefficients may still be nonlinear functions of the uncertain parameters. In this paper, we propose robust formulations that extend the robust-optimization approach to a general nonlinear programming setting with parameter uncertainty involving both equality and inequality constraints. The proposed robust formulations are valid in a neighborhood of a given nominal parameter value and are robust to the first-order, thus suitable for applications where reasonable parameter estimations are available and uncertain variations are moderate. Springer Science+Business Media, Inc., 2007 Uncertain parameters nationallicence nonlinear programming nationallicence robust optimization formulations nationallicence Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 132/1(2007-01-01), 111-124 0022-3239 132:1<111 2007 132 10957 https://doi.org/10.1007/s10957-006-9082-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-006-9082-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Zhang Y. Department of Computational and Applied Mathematics, Rice University, Houston, Texas, USA aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 132/1(2007-01-01), 111-124 0022-3239 132:1<111 2007 132 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer