Interval methods for computing the Pareto-front of a multicriterial problem

Authors:
Bartłomiej Jacek Kubica;Adam Wožniak
Affiliations:
Institute of Control and Computation Engineering, Warsaw University of Technology, Warsaw, Poland;Institute of Control and Computation Engineering, Warsaw University of Technology, Warsaw, Poland
Venue:
PPAM'07 Proceedings of the 7th international conference on Parallel processing and applied mathematics
Year:
2007

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Abstract

Interval methods are known to be a precise and robust tool of global optimization. Several interval algorithms have been developed to deal with various kinds of this problem. Far less has been written about the use of interval methods in multicriterial optimization. The paper surveys two methods presented by other researchers and proposes a modified approach, combining PICPA algorithm with the use of derivative information. Preliminary numerical results are presented.