V. V. Podinovskii and V. D. Noghin, Pareto Optimal Solutions of Multicriteria Problems (Fizmatlit, Moscow, 2007) [in Russian].
P. S. Krasnoshchekov, V. V. Morozov, and N. M. Popov, Optimization in CAD (Maks, Moscow, 2008) [in Russian].
Yu. G. Evtushenko and M. A. Posypkin, “Nonuniform covering method as applied to multicriteria optimization problems with guaranteed accuracy,” Comput. Math. Math. Phys. 53 (2), 144–157 (2013).
K. Miettinen, Nonlinear Multiobjective Optimization (Kluwer Academic, Boston, 1999).
K. Deb, Multi-Objective Optimization Using Evolutionary Algorithms (Wiley, Chichester, UK, 2001).
A. V. Lotov and K. Miettinen, “Visualizing the Pareto frontier,” Multiobjective Optimization: Interactive and Evolutionary Approaches, Ed. by J. Branke, K. Deb, K. Miettinen, and R. Slowinski, Lecture Notes in Computer Science (Springer, Berlin, 2008), Vol. 5252, pp. 213–244.
Y. Sawaragi, H. Nakayama, and T. Tanino, Theory of Multiobjective Optimization (Academic, Orlando, 1985).
A. V. Lotov, V. A. Bushenkov, G. K. Kamenev, and O. L. Chernykh, Computer and Search for Balanced Tradeoff: The Feasible Goals Method (Nauka, Moscow, 1997) [in Russian].
A. V. Lotov, V. A. Bushenkov, and G. K. Kamenev, Interactive Decision Maps: Approximation and Visualization of Pareto Frontier (Kluwer Academic, Boston, 2004).
A. V. Lotov, G. K. Kamenev, and V. E. Berezkin, “Approximation and visualization of the Pareto frontier for nonconvex multicriteria problems,” Dokl. Math. 66 (2), 260–262 (2002).
V. E. Berezkin, G. K. Kamenev, and A. V. Lotov, “Hybrid adaptive methods for approximating a nonconvex multidimensional Pareto frontier,” Comput. Math. Math. Phys. 46 (11), 1918–1931 (2006).
R. Horst and P. M. Pardalos, Handbook on Global Optimization (Kluwer, Dordrecht, 1995).
C. A. Coello, G. B. Lamont, and D. A. van Veldhuizen, Evolutionary Algorithms for Solving Multi-Objective Problems, 2nd ed. (Springer, Berlin, 2007).
A. V. Lotov and A. I. Ryabikov, “Simple efficient hybridization of classic global optimization and genetic algorithms for multiobjective optimization,” Comput. Math. Math. Phys. 59 (10), 1613–1625 (2019).
A. V. Lotov and A. I. Ryabikov, “Multicriteria optimal feedback control and its application to the construction of control rules for a cascade of hydroelectric power stations,” Tr. Inst. Mat. Mekh. Ural. Otd. Ross. Akad. Nauk 20 (4), 187–203 (2014).
Yu. G. Evtushenko and M. A. Posypkin, “Effective hull of a set and its approximation,” Dokl. Math. 90 (3), 104–108 (2014).
G. K. Kamenev and A. V. Lotov, “Approximation of the effective hull of a nonconvex multidimensional set given by a nonlinear mapping,” Dokl. Math. 97 (1), 104–399 (2018).
A. V. Lotov, A. I. Ryabikov, and A. L. Buber, “Multicriteria decision making procedure with an inherited set of starting points of local optimization of scalar functions of criteria,” Artif. Intell. Decis. Making, No. 3, 100–111 (2018).
K. Deb, A. Pratap, S. Agarwal, and T. Meyarivan, “A fast and elitist multiobjective genetic algorithm: NSGA-II,” IEEE Trans. Evol. Comput. 6 (2), 182–197 (2002).
K.-L. Du and M. N. S. Swamy, Search and Optimization by Metaheuristics (Springer, Berlin, 2016).
G. K. Kamenev, “Approximation of completely bounded sets by the deep holes method,” Comput. Math. Math. Phys. 41 (11), 1667–1675 (2001).
V. E. Berezkin and G. K. Kamenev, “Convergence analysis of two-phase methods for approximating the Edgeworth–Pareto hull in nonlinear multicriteria optimization problems,” Comput. Math. Math. Phys. 52 (6), 846–854 (2012).
G. K. Kamenev, “Study of convergence rate and efficiency of two-phase methods for approximating the Edgeworth–Pareto hull,” Comput. Math. Math. Phys. 53 (4), 375–385 (2013).
M. V. Bolgov, I. O. Sarmanov, and O. V. Sarmanov, Markov Processes in Hydrology (Inst. Vodn. Probl. Ross. Akad. Nauk, Moscow, 2009) [in Russian].
A. I. Ryabikov, “Ersatz function method for minimizing a finite-valued function on a compact set,” Comput. Math. Math. Phys. 54 (2), 206–218 (2014).
V. E. Berezkin and A. V. Lotov, “Comparison of two Pareto frontier approximations,” Comput. Math. Math. Phys. 54 (9), 1402–1410 (2014).