[图书][B] Set-valued optimization
AA Khan, C Tammer, C Zalinescu - 2016 - Springer
Set-valued optimization is a vibrant and expanding branch of applied mathematics that
deals with optimization problems where the objective map and/or the constraint maps are …
deals with optimization problems where the objective map and/or the constraint maps are …
[图书][B] Vector optimization
J Jahn - 2009 - Springer
The continuous and increasing interest concerning vector optimization perceptible in the
research community, where contributions dealing with the theory of duality abound lately …
research community, where contributions dealing with the theory of duality abound lately …
Measures of systemic risk
Systemic risk refers to the risk that the financial system is susceptible to failures due to the
characteristics of the system itself. The tremendous cost of systemic risk requires the design …
characteristics of the system itself. The tremendous cost of systemic risk requires the design …
[图书][B] Vector optimization with infimum and supremum
A Löhne - 2011 - books.google.com
The theory of Vector Optimization is developed by a systematic usage of infimum and
supremum. In order to get existence and appropriate properties of the infimum, the image …
supremum. In order to get existence and appropriate properties of the infimum, the image …
Set optimization—a rather short introduction
Recent developments in set optimization are surveyed and extended including various set
relations as well as fundamental constructions of a convex analysis for set-and vector …
relations as well as fundamental constructions of a convex analysis for set-and vector …
Benson type algorithms for linear vector optimization and applications
New versions and extensions of Benson's outer approximation algorithm for solving linear
vector optimization problems are presented. Primal and dual variants are provided in which …
vector optimization problems are presented. Primal and dual variants are provided in which …
Solution concepts in vector optimization: a fresh look at an old story
F Heyde, A Löhne - Optimization, 2011 - Taylor & Francis
Over the past decades various solution concepts for vector optimization problems have been
established and used: among them are efficient, weakly efficient and properly efficient …
established and used: among them are efficient, weakly efficient and properly efficient …
Geometric duality in multiple objective linear programming
F Heyde, A Löhne - SIAM Journal on Optimization, 2008 - SIAM
We develop in this article a geometric approach to duality in multiple objective linear
programming. This approach is based on a very old idea, the duality of polytopes, which can …
programming. This approach is based on a very old idea, the duality of polytopes, which can …
On the choice of parameters for the weighting method in vector optimization
LMG Drummond, N Maculan, BF Svaiter - Mathematical Programming, 2008 - Springer
We present a geometrical interpretation of the weighting method for constrained (finite
dimensional) vector optimization. This approach is based on rigid movements which …
dimensional) vector optimization. This approach is based on rigid movements which …