Journal
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
Volume 37, Issue 1-2, Pages 207-219Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s12190-010-0430-7
Keywords
Bilevel programming; Multi-objective optimization; Penalty method; Decision making
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Funding
- National Science Foundation of China [70771080]
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In this paper, we address a class of semivectorial bilevel programming problem in which the upper level is a scalar optimization problem and the lower level is a linear multi-objective optimization problem. Then, we present a new penalty function method, which includes two different penalty parameters, for solving such a problem. Furthermore, we give a simple algorithm. Numerical examples show that the proposed algorithm is feasible.
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