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Optimality conditions for distributive justice [PDF]
AbstractThis paper uses optimization theory to address a fundamental question of ethics: how to divide resources justly among individuals, groups, or organizations. It formulates utilitarian and Rawlsian criteria for distributive justice as optimization problems.
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Optimality Conditions in Nondifferentiable G-Invex Multiobjective Programming
We consider a class of nondifferentiable multiobjective programs with inequality and equality constraints in which each component of the objective function contains a term involving the support function of a compact convex set.
Kim HoJung, Seo YouYoung, Kim DoSang
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In this paper, we study the optimality conditions for set optimization problems with set criterion. Firstly, we establish a few important properties of the Minkowski difference for sets.
Yuhe Zhang, Qilin Wang
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ON NECESSARY OPTIMALITY CONDITIONS FOR RAMSEY-TYPE PROBLEMS
We study an optimal control problem in infinite time, where the integrand does not depend explicitly on the state variable. A special case of such problem is the Ramsey optimal capital accumulation in centralized economy.
Anton O. Belyakov
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Pareto Optimality Conditions and Duality for Vector Quadratic Fractional Optimization Problems
One of the most important optimality conditions to aid in solving a vector optimization problem is the first-order necessary optimality condition that generalizes the Karush-Kuhn-Tucker condition.
W. A. Oliveira +3 more
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Optimality and duality for a class of nondifferentiable minimax fractional programming problems [PDF]
Necessary and sufficient optimality conditions are established for a class of nondifferentiable minimax fractional programming problems with square root terms. Subsequently, we apply the optimality conditions to formulate a parametric dual problem and we
Bătătorescu Antoan +3 more
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Optimality Conditions for Nonsmooth Generalized Semi-Infinite Programs
We consider a class of nonsmooth generalized semi-infinite programming problems. We apply results from parametric optimization to the lower level problems of generalized semi-infinite programming problems to get estimates for the value functions of the ...
Zhangyou Chen, Zhe Chen
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Mordukhovich Normal Cone of Optimization Problems with Switching Constraints [PDF]
This paper examines normal cones of the feasible set for mathematical programming problems with switching constraints (MPSC). Functions involved are assumed to be continuously differentiable.
Sharifeh Rezagholi +1 more
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Necessary conditions for optimality of exponentially damped oscillators
In this paper, the optimal control problem of the single-input multi-variable system is designed. The dynamic constraints are the n-order exponentially damped oscillators, and the necessary conditions for the optimality of the exponentially damped ...
XIU Guozhong, WANG Liying, SHI Bao
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ABSTRACT As part of the European Cooperative Study Group for Paediatric Rare Tumours initiative, we developed standard clinical practice guidelines for ovarian sex cord stromal tumors, based on comprehensive national and international cohort analyses, literature review, and a final expert consensus conference.
Dominik T. Schneider +15 more
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