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On the solvability of a nonlinear optimization problem with boundary vector control of oscillatory processes [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In the paper, the solvability of the nonlinear boundary optimization problem has been investigated for the oscillation processes, described by the integro-differential equation in partial derivatives with Fredholm integral operator.
E.F. Abdyldaeva +2 more
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Stability kernel of vector optimization problems under perturbations of criterion functions
Доповiдi Нацiональної академiї наук України, 2021 The article is devoted to the study of the influence of uncertainty in initial data on the solutions of optimization multicriterial problems. In the optimization problems, including problems with vector criterion, small perturbations in initial data can
Т.Т. Lebedeva +2 more
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Nihon Kikai Gakkai ronbunshu, 2021 This paper provides a vector-valued level set-based topology optimization method for multiple materials. The proposed method is characterized by a perfectly symmetric representation of multi-material by a vector valued level set function, which lowers ...
Masaki NODA +2 more
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Shape Optimum Design by Basis Vector Method Considering Partial Shape Dependence
Applied Sciences, 2020 Regarding the case of complicated structural shape optimization, there are cases where there are partial shapes such as holes and irregularities inside the structure.
Qiong Wu +3 more
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Applied Sciences, 2021 The article develops hierarchical population game models of co-evolutionary algorithms for solving the problem of multi-criteria optimization under uncertainty.
Vladimir A. Serov
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Mathematics, 2019 The connectedness and path connectedness of the solution sets to vector optimization problems is an important and interesting study in optimization theories and applications.
Xin Xu, Yang Dong Xu
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Existence of Solutions for Nonconvex and Nonsmooth Vector Optimization Problems
Journal of Inequalities and Applications, 2008 We consider the weakly efficient solution for a class of nonconvex and nonsmooth vector optimization problems in Banach spaces. We show the equivalence between the nonconvex and nonsmooth vector optimization problem and the vector variational-like ...
Nan-Jing Huang +2 more
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Large-Scale Evolutionary Multi-Objective Optimization Based on Direction Vector Sampling
IEEE Access, 2023 The large-scale multi-objective optimization problem is characterized by a large decision space. How to design an efficient optimization algorithm that can search a large decision space and find the global optimum in the objective space is a very ...
Yingjian Xiong, Xuhua Shi
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EURO Journal on Computational Optimization, 2018 An instance of a balanced optimization problem with vector costs consists of a ground set X, a cost-vector for every element of X, and a system of feasible subsets over X.
AnnetteM.C. Ficker +2 more
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Topological aspects in vector optimization problems
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2009 In this paper, we study vector optimization problems in partially ordered Banach spaces. We suppose that an objective mapping possesses a weakened property of lower semicontinuity and make no assumptions on the interior of the ordering cone.
P. I. Kogut, R. Manzo, I. V. Nechay
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