Use of Pτ-nets for the approximation of the Edgeworth-Pareto set in multicriteria optimization

Engineering optimization problems, design problems among them, are multicriteria in their essence. When designing machines, mechanisms, and structures, one has to deal with numerous contradictory criteria.Experience gained in solving engineering optimization and optimal design problems shows that the designer cannot formulate them correctly. Unfortunately, the known optimization methods offer little assistance. To assure a correct formulation and solution of engineering optimization problems, the parameter space investigation (PSI) method and methods of approximation have been developed and widely integrated into different fields of industry, science, and technology. The PSI method has become one of the basic working tools for choosing optimal parameters in many fields of the national economy in Russia.