Theoretical And Computational Comparison Of Multiobjective Optimization Methods Nimbus And Rd
ABSTRACT Many real-world optimization applications include several conflicting objectives of possible nondifferentiable character. However, the lack of efficient, interactive methods for nondifferentiable multiobjective optimization problems is apparent. To satisfy this demand, a method called NIMBUS was developed. Two versions of the basic method are presented and compared both theoretically and computationally. In order to give variety to the comparison, a related approach, called reference direction method is included. Theoretically, the methods differ in handling the information requested from the user. Numerical experiments indicate differences in computational efficiency and controllability of the solution processes.