Voir la notice de l'article provenant de la source Math-Net.Ru
@article{BASM_2011_1_a7, author = {Vladimir Emelichev and Vladimir Korotkov}, title = {On stability radius of the multicriteria variant of {Markowitz's} investment portfolio problem}, journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica}, pages = {83--94}, publisher = {mathdoc}, number = {1}, year = {2011}, language = {en}, url = {https://geodesic-test.mathdoc.fr/item/BASM_2011_1_a7/} }
TY - JOUR AU - Vladimir Emelichev AU - Vladimir Korotkov TI - On stability radius of the multicriteria variant of Markowitz's investment portfolio problem JO - Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica PY - 2011 SP - 83 EP - 94 IS - 1 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/item/BASM_2011_1_a7/ LA - en ID - BASM_2011_1_a7 ER -
%0 Journal Article %A Vladimir Emelichev %A Vladimir Korotkov %T On stability radius of the multicriteria variant of Markowitz's investment portfolio problem %J Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica %D 2011 %P 83-94 %N 1 %I mathdoc %U https://geodesic-test.mathdoc.fr/item/BASM_2011_1_a7/ %G en %F BASM_2011_1_a7
Vladimir Emelichev; Vladimir Korotkov. On stability radius of the multicriteria variant of Markowitz's investment portfolio problem. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2011), pp. 83-94. https://geodesic-test.mathdoc.fr/item/BASM_2011_1_a7/
[1] Emelichev V., Korotkov V., Kuzmin K., “On stability of a Pareto-optimal solution of a portfolio optimization problem with Savage's minimax risk criteria”, Bulletin of the Academy of Sciences of Moldova. Mathematics, 2010, no. 3(64), 35–44 | Zbl
[2] Markowitz H. M., Portfolio selection: efficient diversification of investments, Blackwell Publ., Oxford, 1991
[3] Savage L. J., The foundations of statistics, Dover Publ., New York, 1972 | MR | Zbl
[4] Dem'yanov V. F., Malozemov V. N., Introduction to minimax, Dover Publ., New York, 1990 | MR | Zbl
[5] Fedorov V. V., Numerical maximin methods, Nauka, Moscow, 1979 (in Russian)
[6] Du D.-Z., Pardalos P. M. (eds.), Minimax and applications, Kluwer Acad. Publ., Dordrecht, 1995 | MR
[7] Pareto V., Manuel d'economie politique, Giard, Paris, 1909
[8] Emelichev V. A., Leonovich A. M., “A sensitivity measure of the Pareto set in a vector $l_\infty$-extreme combinatorial problem”, Computer Science Journal of Moldova, 9:3 (2001), 291–304 | MR | Zbl
[9] Emelichev V. A., Girlich E., Nikulin Yu. V., Podkopaev D. P., “Stability and regularization of vector problems of integer linear programming”, Optimization, 51:4 (2002), 645–676 | DOI | MR | Zbl
[10] Emelichev V. A., Karelkina O. V., Kuzmin K. G., “Measure of stability and quasistability to a vector integer programming problem in the $l_1$ metric”, Bulletin of the Academy of Sciences of Moldova. Mathematics, 2006, no. 1(50), 39–50 | MR | Zbl
[11] Emelichev V. A., Gurevsky E. E., Platonov A. A., “Measure of stability for a finite cooperative game with a generalized concept of equilibrium”, Bulletin of the Academy of Sciences of Moldova. Mathematics, 2006, no. 3(52), 17–26 | MR | Zbl
[12] Emelichev V. A., Gurevsky E. E., Platonov A. A., “On stability and quasi-stability radii for a vector combinatorial problem with a parametric optimality principle”, Bulletin of the Academy of Sciences of Moldova. Mathematics, 2009, no. 2(60), 55–61 | MR | Zbl
[13] Emelichev V. A., Kuzmin K. G., “Stability radius of a vector integer linear programming problem: case of a regular norm in the space of criteria”, Cybernetics and Systems Analysis, 46:1 (2010), 72–79 | DOI | MR | Zbl
[14] Tanino T., Sawaragi Y., “Stability of nondominated solutions in multicriteria decision-making”, Journal of Optimimization Theory and Applications, 30:2 (1980), 229–253 | DOI | MR | Zbl
[15] Slater M., Lagrange multipliers revisited, Cowles foundation discussion papers, 80, Cowles foundation for research in economics, Yale University, 1959
[16] Kolmogorov A. N., Fomin S. V., Elements of the theory of functions and functional analysis, Dover Publ., New York, 1999
[17] Suhubi E., Functional analysis, Springer, Berlin, 2003