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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Low order-value approach for solving VaR-constrained optimization problems

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Author(s):
Birgin, E. G. [1] ; Bueno, L. F. [2] ; Krejic, N. [3] ; Martinez, J. M. [2]
Total Authors: 4
Affiliation:
[1] Univ Sao Paulo, Dept Comp Sci IME USP, BR-05508090 Sao Paulo - Brazil
[2] Univ Estadual Campinas, Inst Math Stat & Sci Comp IMECC, Dept Appl Math, BR-13083859 Campinas, SP - Brazil
[3] Univ Novi Sad, Dept Math & Informat, Novi Sad 21000 - Serbia
Total Affiliations: 3
Document type: Journal article
Source: Journal of Global Optimization; v. 51, n. 4, p. 715-742, DEC 2011.
Web of Science Citations: 9
Abstract

In Low Order-Value Optimization (LOVO) problems the sum of the r smallest values of a finite sequence of q functions is involved as the objective to be minimized or as a constraint. The latter case is considered in the present paper. Portfolio optimization problems with a constraint on the admissible Value at Risk (VaR) can be modeled in terms of a LOVO problem with constraints given by Low order-value functions. Different algorithms for practical solution of this problem will be presented. Using these techniques, portfolio optimization problems with transaction costs will be solved. (AU)

FAPESP's process: 07/06663-0 - Order value optimization applied to inverse Nash-Equilibrium
Grantee:Luis Felipe Cesar da Rocha Bueno
Support Opportunities: Scholarships in Brazil - Doctorate
FAPESP's process: 09/10241-0 - Theory and software in computational methods for optimization
Grantee:Ernesto Julián Goldberg Birgin
Support Opportunities: Regular Research Grants
FAPESP's process: 06/53768-0 - Computational methods of optimization
Grantee:José Mário Martinez Perez
Support Opportunities: Research Projects - Thematic Grants