Results 51 to 60 of about 127 (89)

Second order optimality conditions for bilevel set optimization problems

Approximate Jacobian, Approximate Hessian, Recession matrices, Bilevel optimization, Second order approximation, Necessary optimality conditions, Regularity condition, Set valued mappings, Support function, 90C29, 49J52, 90C30, 49K99,
N. Gadhi, S. Dempe
core   +1 more source

Approximation Algorithms for Combinatorial Multicriteria Optimization Problems [PDF]

, 1999
The computational complexity of combinatorial multiple objective programming problems is investigated. INP -completeness and #P -completeness results are presented.
Matthias Ehrgott, Ehrgott, Matthias, M Ehrgott   +2 more
core   +1 more source

PC Points and their Application to Vector Optimization [PDF]

, 1998
AMS subject classification: 90C29, 90C48In this paper we present some results concerning stability under perturbations and some topological properties of minimal point sets in vector optimization.
Bednarczuk, Ewa, Song, Wen
core  

Karush-Kuhn-Tucker Necessary Optimality Conditions for (h, φ)ɛ-Multiobjective Optimization Problems Based on Pseudo-Avriel-Ben-Tal Algebraic Operations

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this paper it is introduced a new generalized pseudo-operation with one parameter of the following form: x ⊕ɛ y = h−1(h(x) + ɛh(y)), where h is an n vector-valued continuous function, defined on a subset H of ℝn and possessing an inverse function h−1,
Bobe Alexandru, Răcuciu Ciprian, Cornaciu Veronica   +2 more
doaj   +1 more source

Set approach for set optimization with variable ordering structures [PDF]

, 2014
This paper aims at combining variable ordering structures with set relations in set optimization, which have been defined using the constant ordering cone before.
Gabriele Eichfelder, Eichfelder, Gabriele, Maria Pilecka, Pilecka, Maria   +3 more
core  

Fréchet subdifferentials of efficient point multifunctions in parametric vector optimization

In this paper, we establish new formulae for computing and/or estimating the Fréchet subdifferential of the efficient point multifunction of a parametric vector optimization problem.
Jen-Chih Yao, Thai Chuong
core   +1 more source

A Method for Solving a Class of Multiple-Criteria Analysis Problems [PDF]

, 1998
AMS subject classification: 90C29.The paper proposes an interactive method solving the multiple criteria choice problem (MCCP) with a large number of discrete alternatives and a small number of quantitative criteria.
Vassilev, V., Kirilov, L., Genova, K.
core  

Comments on “A Note on the Paper “Optimality Conditions for Optimistic Bilevel Programming Problem Using Convexifactors””

Necessary optimality conditions for a bilevel optimization problem are given in the paper by Kohli (J Optim Theory Appl 152: 632–651, 2012). Recently, the same author corrected his results in the note (J Optim Theory Appl 181:706–707, 2019). In this work,
Nazih Abderrazzak Gadhi
core   +1 more source

Solving Two-stage Quadratic Multiobjective Problems via Optimality and Relaxations [PDF]

Mathematics Subject Classification: 49K99; 65K10; 90C29; 90C46.This paper focuses on the study of robust two-stage quadratic multiobjective optimization problems.
Eberhard, A, Yu, X, Liu, C, Chuong, TD, Li, C   +4 more
core   +1 more source

Interactive Bi-Level Multi-Objective Integer Non-linear Programming Problem [PDF]

, 2011
This paper presents a bi-level multi-objective integer non-linear programming (BLMINP) problem with linear or non-linear constraints and an interactive algorithm for solving such model. At the first phase of the solution algorithm to avoid the complexity
O E Emam
core