A deterministic algorithm for global multi-objective optimization
Yu. G. Evtushenko, Mikhail Anatol'evich Posypkin · Optimization methods & software · 2013
The paper describes a method for solving multi-objective optimization problems with box constraints. Unlike existing approaches, the proposed method not only constructs a finite approximation of Pareto frontier, but also proves its ϵ-optimality. The paper gives a detailed explanation of basic theoretical concepts behind the method and describes the algorithmic implementation. A practically important application of the proposed method to finding the working space of a robotic manipulator is presented.