Necessary and sufficient conditions for Pareto optimality of the stochastic systems in finite horizon

Automatica ◽  
2018 ◽  
Vol 94 ◽  
pp. 341-348 ◽  
Author(s):  
Yaning Lin ◽  
Xiushan Jiang ◽  
Weihai Zhang
Keyword(s):  
Pareto Optimality ◽  
Stochastic Systems ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Finite Horizon ◽  
Necessary And Sufficient

On conditions of efficiency of a solution of a multicriteria discrete problem

2002 ◽  
Vol 12 (2) ◽  
Author(s):  
V.A. Emelichev ◽  
A.V. Pashkevich
Keyword(s):  
Wide Class ◽  
Pareto Optimality ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Discrete Problem ◽  
Monotone Functions ◽  
Additive Method ◽  
Finite Set ◽  
Necessary And Sufficient

AbstractFor a wide class of multicriteria (vector) optimisation problems with a finite set of vector constraints, basing on the additive method of aggregating special monotone functions of partial criteria, we obtain necessary and sufficient conditions of efficiency (Pareto-optimality) of a solution.

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