作者: Nguyen Thi Thu Huong , Nguyen Dong Yen
DOI: 10.1007/S10013-015-0144-0
关键词: Mathematical optimization 、 Equidistant 、 Vector optimization 、 Mathematics 、 Linear independence 、 Linear-fractional programming 、 Linear programming 、 Sensitivity (control systems) 、 Linear combination 、 Set (abstract data type)
摘要: The question of constructing a set equidistant points, with given small approximate distance, in the efficient and weakly frontiers linear vector optimization problem general form, is considered this paper. It shown that can be solved by combining Pascoletti–Serafini’s scalarization method (1984) Eichfelder’s adaptive parameter control (2009) sensitivity analysis formula programming, which was obtained J. Gauvin (2001). Our investigation shows one avoid strong second-order sufficient condition used G. Eichfelder, cannot imposed on problems.