The Construction of Dynamic Multi-objective Optimization Test Functions

摘要

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.