An Approach for a Class of Bilevel Multiobjective Programming Problem

Author

Liu, YuLan

Author_Institution

Fac. of Appl. Math., Guangdong Univ. of Technol., Guangzhou, China

Volume

1

fYear

2009

fDate

11-14 Dec. 2009

Firstpage

128

Lastpage

132

Abstract

Bilevel programming, one of the multilevel programming, is a class of optimization with hierarchical structure. This paper proposes a algorithm for a class of bilevel nonlinear programming. In this algorithm, by use of optimization over the efficient set of a parametric multiple objective linear programming problem, the bilevel nonlinear programming is transformed into a problem maximizing a function over the efficient of a parametric multiple objective linear programming problem, which can be turned into a series of programming problem with linear constraints.

Keywords

linear programming; nonlinear programming; bilevel nonlinear programming; linear constraints; multilevel programming; optimization; parametric multiple objective linear programming problem; Bibliographies; Computational intelligence; Constraint optimization; Functional programming; Gradient methods; Linear programming; Mathematical model; Mathematical programming; Mathematics; Security; algorithm; bilevel programming; parametric programming;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Intelligence and Security, 2009. CIS '09. International Conference on

Conference_Location

Beijing

Print_ISBN

978-1-4244-5411-2

Type

conf

DOI

10.1109/CIS.2009.139

Filename

5376689