Vector optimization problems and approximated vector optimization problems
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
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New optimality conditions in vector continuous-time programming [PDF]
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
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Strategic Development of the multi-level Socio-economic system of the State in the Digital Economy
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
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Vector optimization technique in the problems of interaction between an enterprise and its counteragents [PDF]
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
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Germeier’s Scalarization for Approximating Solution of Multicriteria Matrix Games
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
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Optimality for set-valued optimization in the sense of vector and set criteria
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
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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
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Approximate proper solutions in vector optimization with variable ordering structure [PDF]
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
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Forecasting the development of regional economy on the basis of input — output tables [PDF]
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
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Mathematical Apparatus of Optimal Decision-Making Based on Vector Optimization
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
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