3.8 Article

Numerical Solution of a Class of Bilevel Programming Problems

Journal

NUMERICAL ANALYSIS AND APPLICATIONS
Volume 3, Issue 2, Pages 165-173

Publisher

SIBERIAN BRANCH RUSSIAN ACAD SCIENCES
DOI: 10.1134/S1995423910020059

Keywords

bilevel programming; optimistic solution; nonconvex optimization problems; local search; computational simulation

Funding

  1. Russian Foundation for Support of Domestic Science [MK-1497.2008.1, NSh-1676.2008.1]

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A quadratic-linear bilevel programming problem is considered. Its optimistic statement is reduced to a series of nonconvex unilevel problems. An approximate algorithm for global search in reduced problems is proposed. Numerical solutions of randomly generated test problems are given and analyzed.

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