On the Necessity of the Sufficient Conditions in Cone-Constrained Vector Optimization [PDF]
, 2014 The object of investigation in this paper are vector nonlinear programming problems with cone constraints. We introduce the notion of a Fritz John pseudoinvex cone-constrained vector problem.
Ivanov, Vsevolod I.
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Multiobjective optimization to a TB-HIV/AIDS coinfection optimal control problem
, 2017 We consider a recent coinfection model for Tuberculosis (TB), Human Immunodeficiency Virus (HIV) infection and Acquired Immunodeficiency Syndrome (AIDS) proposed in [Discrete Contin. Dyn. Syst. 35 (2015), no. 9, 4639--4663].
Denysiuk, Roman +2 more
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Singular Continuation: Generating Piece-wise Linear Approximations to Pareto Sets via Global Analysis [PDF]
, 2011 We propose a strategy for approximating Pareto optimal sets based on the global analysis framework proposed by Smale (Dynamical systems, New York, 1973, pp. 531-544). The method highlights and exploits the underlying manifold structure of the Pareto sets,
Alberto Lovison, Debreu G.
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Quasi-stability of a vector trajectorial problem with non-linear partial criteria [PDF]
Computer Science Journal of Moldova, 2003 Multi-objective (vector) combinatorial problem of finding the Pareto set with four kinds of non-linear partial criteria is considered. Necessary and sufficient conditions of that kind of stability of the problem (quasi-stability) are obtained.
Vladimir A. Emelichev +1 more
doaj
Ingeniería y Ciencia, 2014 En este artículo se presenta una metodología para la reubicación óptima de transformadores en sistemas de distribución. El problema es formulado como un modelo de optimización multiobjetivo de tipo lineal entero, en el cual se consideran costos de ...
Rubén Iván Bolaños +2 more
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On quasistability of a vector combinatorial problem with \Sigma-MINMAX and \Sigma-MINMIN partial criteria [PDF]
Computer Science Journal of Moldova, 2004 We consider one type of stability (quasistability) of a vector combinatorial problem of finding the Pareto set. Under quasistability we understand a discrete analogue of lower semicontinuity by Hausdorff of the many-valued mapping, which defines the ...
Vladimir A. Emelichev +2 more
doaj
Stability of generally efficient situation in finite cooperative games with parametric optimality principle ("from Pareto to Nash") [PDF]
Computer Science Journal of Moldova, 2003 A parametric optimality principle (choice function) in a finite cooperative game of several persons is determined. This principle is specified by means of partition of players set into coalitions.
Vladimir A. Emelichev +1 more
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On stability of an optimal situation in a finite cooperative game with a parametric concept of equilibrium (from lexicographic optimality to Nash equilibrium) [PDF]
Computer Science Journal of Moldova, 2005 A parametric concept of equilibrium (principle of optimality) in a finite cooperative game in normal form of several players is introduced. This concept is defined by means of the partition of players into coalitions.
Sergey E. Bukhtoyarov +1 more
doaj
Linear discrete-time Pareto-Nash-Stackelberg control problem and principles for its solving [PDF]
Computer Science Journal of Moldova, 2013 A direct-straightforward method for solving linear discrete-time optimal control problem is applied to solve control problem of a linear discrete-time system as a mixture of multi-criteria Stackelberg and Nash games.
Valeriu Ungureanu
doaj
ON NECESSARY CONDITIONS FOR EFFICIENCY IN DIRECTIONALLY DIFFERENTIABLE OPTIMIZATION PROBLEMS [PDF]
This paper deals with multiobjective programming problems with in- equality, equality and set constraints involving Dini or Hadamard differentiable func- tions.
Do Van Luu, Manh-Hung Nguyen
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