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Vector optimization problems and approximated vector optimization problems

open access: yesJournal of Numerical Analysis and Approximation Theory, 2010
In this paper, a so-called approximated vector optimization problem associated to a vector optimization problem is considered. The equivalence between the efficient solutions of the approximated vector optimization problem and efficient solutions of the ...
Eugenia Duca, Dorel I. Duca
doaj   +4 more sources

New optimality conditions in vector continuous-time programming [PDF]

open access: yesYugoslav Journal of Operations Research, 2021
In this work vector continuous-time programming problem with inequality constraints is considered. The necessary and sufficient optimality conditions under generalized concavity assumptions are established.
Jović Aleksandar
doaj   +1 more source

Strategic Development of the multi-level Socio-economic system of the State in the Digital Economy

open access: yesНаучно-технические ведомости СПбГПУ: Экономические науки, 2021
The relevance of the study is due to the development of the digital economy in the Russian Federation. Forecasting, strategic planning in this aspect is a promising direction of socio-economic development of the state, as well as its constituent parts ...
Mashunin Yury
doaj   +1 more source

Vector optimization technique in the problems of interaction between an enterprise and its counteragents [PDF]

open access: yesЭкономика региона, 2011
This paper reviews vector optimization goals related to the selection of efficient portfolios of a company's counterparties. In the first part of the research, the costs to minimize of providing goods and risk of late delivery have been selected as the ...
Oleg Igorevich Nikonov   +1 more
doaj   +1 more source

Germeier’s Scalarization for Approximating Solution of Multicriteria Matrix Games

open access: yesMathematics, 2022
In this paper, we study the properties of Germeier’s scalarization applied for solving multicriteria games. The equilibria and the equilibrium values of such games, as a rule, make sets, and the problems of parametrizing and approximating these sets ...
Natalia Novikova, Irina Pospelova
doaj   +1 more source

Optimality for set-valued optimization in the sense of vector and set criteria

open access: yesJournal of Inequalities and Applications, 2017
The vector criterion and set criterion are two defining approaches of solutions for the set-valued optimization problems. In this paper, the optimality conditions of both criteria of solutions are established for the set-valued optimization problems.
Xiangyu Kong, GuoLin Yu, Wei Liu
doaj   +1 more source

The Key Role of the Vector Optimization Algorithm and Robust Design Approach for the Design of Polygeneration Systems

open access: yesEnergies, 2018
In recent decades, growing concerns about global warming and climate change effects have led to specific directives, especially in Europe, promoting the use of primary energy-saving techniques and renewable energy systems.
Alfredo Gimelli, Massimiliano Muccillo
doaj   +1 more source

Approximate proper solutions in vector optimization with variable ordering structure [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization
In this paper, we study approximate proper efficient (nondominated and minimal) solutions of vector optimization problems with variable ordering structures (VOSs). In vector optimization with VOS, the partial order-ing cone depends on the elements of the
S. Shahbeyk
doaj   +1 more source

Forecasting the development of regional economy on the basis of input — output tables [PDF]

open access: yesЭкономика региона, 2014
The article presents a practical technology of forecasting the development of the regional economy, including the statement of the problem, the construction of a mathematical model, and its implementation.
Yury Konstantinovich Mashunin   +1 more
doaj   +1 more source

Mathematical Apparatus of Optimal Decision-Making Based on Vector Optimization

open access: yesApplied System Innovation, 2019
We present a problem of “acceptance of an optimal solution” as a mathematical model in the form of a vector problem of mathematical programming.
Yury K. Mashunin
doaj   +1 more source

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