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Vietnam Journal of Mathematics 39:1 (2011) 31-48  

Smooth Optimization Algorithms for Optimizing Over the Pareto Efficient

Set and Their Applications to Minmax Flow Problems

Le Dung Muu and Le Quang Thuy

Abstract. We propose smooth optimization algorithms for optimizing a real valued function over the efficient Pareto set of a linear multicriteria optimization problem. Application to minmax flow problems is discussed. Some computational results are reported.

2000 Mathematics Subject Classification: 90C29, 90C26.

Keywords: Optimization over the efficient set, smooth optimization, regularization, algorithms, minmax flow problem.

Established by Vietnam Academy of Science and Technology & Vietnam Mathematical Society

Published by Springer since January 2013