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Optimization Methods and Software Volume 25, 2010 - Issue 5: The 2nd International Conference on Nonlinear Programming with Applications
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The 2nd International Conference on Nonlinear Programming with Applications

The exponential penalty function method for multiobjective programming problems

Sanming Liu Department of Mathematics and Physics, Shanghai Dianji University, Shanghai, 200240, People's Republic of ChinaCorrespondence[email protected]
&
Enmin Feng Department of Applied Mathematics, Dalian University of Technology, Dalian, People's Republic of China
Pages 667-675 | Received 29 May 2008, Accepted 19 May 2009, Published online: 13 Aug 2009
 
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Abstract

Following the classical exponential penalty function method of mathematical programming, the exponential penalty function method of multiobjective programming problems (MOPP) is constructed and its convergence is proved. In addition, the approach is applied to solving a finite min–max MOPP.

AMS Subject Classification :

Acknowledgements

This research is supported by the National Natural Science Foundation of China under Grant No. 19871009.

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