The construction of dynamic multi-objective optimization test functions

Authors:
Min Tang;Zhangcan Huang;Guangxi Chen
Affiliations:
Guilin University of Electronic Technology, Guilin, China;School of Science, Wuhan University of Technology, Wuhan, China;Guilin University of Electronic Technology, Guilin, China
Venue:
ISICA'07 Proceedings of the 2nd international conference on Advances in computation and intelligence
Year:
2007

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Abstract

Dynamic Multi-objective Optimization Problems (DMOPs) gradually become a difficult and hot topic in Multi-objective Optimization area. However, there is lack of standard test functions for Dynamic Multi-objective Optimization Algorithms now. Firstly this paper proves the existence of Pareto optimal set of a class of a special non-dynamic two-objective optimization problem theoretically. Based on this result, we present one method of constructing dynamic two-objective and scalable multi-objective optimization problems, and then providing the test suites which are easy to be constructed and have known Pareto Optimal set and Pareto optimal front.