Results 11 to 20 of about 469 (71)
A note of stability of weakly efficient solution set for optimization with set‐valued maps
International Journal of Stochastic Analysis, Volume 16, Issue 3, Page 267-273, 2003., 2003 In this paper, we study the stability of weakly efficient solution sets for optimization problems with set‐valued maps. We introduce the concept of essential weakly efficient solutions and essential components of weakly efficient solution sets. We first show that most optimization problems with set‐valued maps (in the sense of Baire category) are ...
Luo Qun
wiley +1 more source
On generalized derivatives for C1,1 vector optimization problems
Journal of Applied Mathematics, Volume 2003, Issue 7, Page 365-376, 2003., 2003 We introduce generalized definitions of Peano and Riemann directional derivatives in order to obtain second‐order optimality conditions for vector optimization problems involving C1,1 data. We show that these conditions are stronger than those in literature obtained by means of second‐order Clarke subdifferential.
Davide La Torre
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 9, Page 621-628, 2001., 2001 A new method for obtaining sensitivity information for parametric vector optimization problems (VOP) v is presented, where the parameters in the objective functions and anywhere in the constraints. This method depends on using differential equations technique for solving multiobjective nonlinear programing problems which is very effective in finding ...
Fatma M. Ali
wiley +1 more source
Symmetric duality for a class of multiobjective programming
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 9, Page 617-625, 2000., 2000 We formulate a pair of symmetric dual nondifferentiable multiobjective programming and establish appropriate duality theorems. We also show that differentiable and nondifferentiable analogues of several pairs of symmetric dual problems can be obtained as special cases of our general symmetric programs.
Xinmin Yang, Shouyang Wang, Duan Li
wiley +1 more source
On stability of a Pareto-optimal solution under perturbations of the parameters for a multicriteria combinatorial partition problem [PDF]
Computer Science Journal of Moldova, 2008 We consider a multicriteria variant for the well-known partition problem. A formula of the stability radius for an efficient solution was obtained. Mathematics Subject Classification 2000: 90C27, 90C29, 90C31.
V.A. Emelichev, E.E. Gurevsky
doaj
On stability of Nash equilibrium situations and Pareto optimal situations in finite games [PDF]
Computer Science Journal of Moldova, 2003 A non-cooperative finite game of several persons is considered in the case, where payoff functions are linear. Extreme levels of independent perturbations of payoff functions parameters, which remain Nash and Pareto optimality of a situation, are ...
Vladimir A. Emelichev +1 more
doaj
Postoptimal analysis of one lexicographic combinatorial problem with non-linear criteria [PDF]
Computer Science Journal of Moldova, 2009 In this article we consider a multicriteria combinatorial problem with ordered MINMIN criteria. We obtain necessary and sufficient conditions of that type of stability to the initial data perturbations for which all lexicographic optima of the original ...
Vladimir A. Emelichev, Olga V. Karelkina
doaj
The Analytic Hierarchy Process, Max Algebra and Multi-objective Optimisation [PDF]
, 2012 The Analytic Hierarchy Process (AHP) is widely used for decision making involving multiple criteria. Elsner and van den Driessche introduced a max-algebraic approach to the single criterion AHP.
Baccelli +29 more
core +2 more sources
Open Mathematics, 2017 Nowadays, nature–inspired metaheuristic algorithms are most powerful optimizing algorithms for solving the NP–complete problems. This paper proposes three approaches to find near–optimal Golomb ruler sequences based on nature–inspired algorithms in a ...
Bansal Shonak +2 more
doaj +1 more source
Optimal Release Time Decision from Fuzzy Mathematical Programming Perspective
, 2015 Demand for high software reliability requires rigorous testing followed by requirement of robust modeling techniques for software quality prediction. On one side, firms have to steadily manage the reliability by testing it vigorously, the optimal release
Agarwal, Mohini +3 more
core +1 more source