Title :
Equivalent Reformulations of Generalized Semi-infinite Min-Max Programming
Author :
Zhou, Jinchuan ; Li, Meixia ; Zhao, Wenling ; Xu, Xiuhua
Author_Institution :
Dept. of Math., Beijing Jiaotong Univ., Beijing
Abstract :
New equivalent reformulations of generalized semi-infinite min-max programming (GSMMP) is derived by addressing the perturbed problem of the lower-level programming. Based on these, we obtain an exact penalty representations for the lower-level programming, which allows us to convert (GSSMP) into the standard semi-infinite programming problems (SMMP) via a class of exact penalty functions, including not only the function used in [9] but also some smooth exact penalty functions as special cases.This fact makes it possible to solve (GSMMP) by using any available standard semi-infinite optimization algorithms.
Keywords :
minimax techniques; equivalent reformulation; generalized semi infinite min-max programming; lower-level programming problem; penalty function; Books; Communication system control; Entropy; Functional programming; Information science; Mathematical programming; Mathematics; Newton method; Optimal control; Technology management;
Conference_Titel :
Computing, Communication, Control, and Management, 2008. CCCM '08. ISECS International Colloquium on
Conference_Location :
Guangzhou
Print_ISBN :
978-0-7695-3290-5
DOI :
10.1109/CCCM.2008.196
