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Post-optimal analysis of investment problem with Wald's ordered maximin criteria
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2012), pp. 59-69 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider Markowitz's multicriteria portfolio optimization problem with Wald's ordered maximin criteria. We obtained lower and upper attainable bounds of the stability radius of lexicographically optimal portfolio. 
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Vladimir Emelichev; Vladimir Korotkov. Post-optimal analysis of investment problem with Wald's ordered maximin criteria. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2012), pp. 59-69. http://geodesic.mathdoc.fr/item/BASM_2012_1_a5/

[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”, Bul. Acad. Ştiinţe Rep. Moldova, Matematica, 2010, no. 3(64), 35–44 | MR | Zbl

[2] Emelichev V., Korotkov V., “On stability radius of the multicriteria variant of Markowitz's investment portfolio problem”, Bul. Acad. Ştiinţe Rep. Moldova, Matematica, 2011, no. 1(65), 83–94 | MR | Zbl

[3] Markowitz H. M., Portfolio selection: efficient diversification of investments, Blackwell Publ., Oxford, 1991

[4] Bronstain E. M., Cherniak D. A., “Comparative analysis of efficiency of investment projects”, Economic and Mathematical Models, 41:2 (2005), 21–28 (in Russian)

[5] Vilensky P. L., Livshiz V. N., Smolyk S. A., Evaluation of investment project effectiveness, Theory and Practice, Moscow, 2008 (in Russian)

[6] Wald A., Statistical decision functions, John Wiley, New York, 1950 | MR | Zbl

[7] Gurevskii E. E., Emelichev V. A., “On five types of stability of the lexicographic variant of the combinatorial bottleneck problem”, Discrete Math. Appl., 19:4 (2009), 337–348 | DOI | MR

[8] Emelichev V. A., Gurevsky E. E., Kuzmin K. G., “On stability of some lexicographic integer optimization problem”, Control and Cybernetics, 39:3 (2010), 811–826 | MR | Zbl

[9] Emelichev V. A., Kuzmin K. G., “Stability radius of a lexicographic optimum of a vector problem of boolean programming”, Cybernetics and Systems Analysis, 41:2 (2005), 215–223 | DOI | MR | Zbl

[10] Miettinen K., Nonlinear multiobjective optimization, Kluwer Acad. Publ., Boston, 1999 | MR | Zbl

[11] Ehrgott M., Multicriteria Optimization, Springer, Berlin–Heidelberg, 2005 | MR

[12] Ehrgott M., Gandibleux X., “A survey and annotated bibliography of multiobjective combinatorial optimization”, OR Spectrum, 22:4 (2000), 425–460 | DOI | MR | Zbl

[13] Emelichev V. A., Gurevsky E. E., “On stability of some lexicographic multicriteria Boolean problem”, Control and Cybernetics, 36:2 (2007), 333–346 | MR | Zbl