caa a22 4500 445831073 CHVBK 20180317145315.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s10255-010-0033-y doi (NATIONALLICENCE)springer-10.1007/s10255-010-0033-y Robust solutions to uncertain linear complementarity problems [Elektronische Daten] [Dan Wu, Ji-ye Han, Jing-hao Zhu] In this paper, we adopt the robust optimization method to consider linear complementarity problems in which the data is not specified exactly or is uncertain, and it is only known to belong to a prescribed uncertainty set. We propose the notion of the ρ-robust counterpart and the ρ-robust solution of uncertain linear complementarity problems. We discuss uncertain linear complementarity problems with three different uncertainty sets, respectively, including an unknown-but-bounded uncertainty set, an ellipsoidal uncertainty set and an intersection-of-ellipsoids uncertainty set, and present some sufficient and necessary (or sufficient) conditions which ρ-robust solutions satisfy. Some special cases are investigated in this paper. Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg, 2011 uncertain linear complementarity problems nationallicence robust optimization technology nationallicence uncertainty set nationallicence ρ -robust solution nationallicence Wu Dan Department of Applied Mathematics, Tongji University, 200092, Shanghai, China aut Han Ji-ye Academy of Mathematics and Systems Science, Chinese Academy of Sciences, 100190, Beijing, China aut Zhu Jing-hao Department of Mathematics, Tongji University, 200092, Shanghai, China aut Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/2(2011-04-01), 339-352 0168-9673 27:2<339 2011 27 10255 https://doi.org/10.1007/s10255-010-0033-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10255-010-0033-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wu Dan Department of Applied Mathematics, Tongji University, 200092, Shanghai, China aut NATIONALLICENCE 700 1- Han Ji-ye Academy of Mathematics and Systems Science, Chinese Academy of Sciences, 100190, Beijing, China aut NATIONALLICENCE 700 1- Zhu Jing-hao Department of Mathematics, Tongji University, 200092, Shanghai, China aut NATIONALLICENCE 773 0- Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/2(2011-04-01), 339-352 0168-9673 27:2<339 2011 27 10255 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer