Investigation of boundary points and the design of parametric optimization methods in data envelopment analysis
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 43 (2003) no. 4, pp. 627-640 Cet article a éte moissonné depuis la source Math-Net.Ru

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A. V. Volodin; V. E. Krivonozhko; I. A. Sablin; O. B. Utkin. Investigation of boundary points and the design of parametric optimization methods in data envelopment analysis. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 43 (2003) no. 4, pp. 627-640. http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_4_a15/

[1] Charnes A., Cooper W. W., Rhodes E., “Measuring of efficiency of decision making units”, European J. Operat. Res., 2:6 (1978), 429–444 | DOI | MR | Zbl

[2] Banker R. D., Charnes A., Cooper W. W., “Some models for estimating technical and scale efficiency in data envelopment analysis”, Manag. Sci., 30:9 (1984), 1078–1092 | DOI | Zbl

[3] Cooper W. W., Seiford L. M., Tone K., Data envelopment analysis, Kluwer Acad. Publ., Boston, 2000

[4] Chang K. P., Guh Y. Y., “Linear production functions and the DEA”, European J. Operat. Res., 52 (1991), 215–223 | DOI | Zbl

[5] Pitaktong U., Brockett P. L., Mote J. R., Rousseau J. J., “Identification of Pareto-efficient facets in DEA”, European J. Operat. Res., 109 (1998), 559–570 | DOI | Zbl

[6] Krivonozhko V. E., Volodin A. V., Sablin I. A., Patrin M., “Calculation of marginal rates in DEA using parametric optimization methods”, Proc. Internat. DEA Symp. (2002), Moscow, 2002, 60–67

[7] Charnes A., Cooper W. W., Golany B. et al., “Foundations of data envelopment analysis for Pareto–Koopmans efficient productions functions”, J. Econometrics, 30 (1985), 91–107 | DOI | MR | Zbl

[8] Stewart T. J., “Relationships between DEA and MCDM”, J. Operat. Res. Soc., 47:5 (1996), 654–665 | Zbl

[9] Joro T., Korhonen P., Wallenius J., “Structural comparison of DEA and multiple objective linear programming”, Manag. Sci., 44:7 (1998), 962–970 | DOI | Zbl

[10] Li X. B., Reevs G. R., “A multiple criteria approach to DEA”, European J. Operat. Res., 115 (1999), 507–517 | DOI

[11] Bushenkov V. A., Lotov A. V., “Metody i algoritmy analiza lineinykh sistem na osnove postroeniya obobschennykh mnozhestv dostizhimosti”, Zh. vychisl. matem. i matem. fiz., 20:5 (1980), 1130–1141 | MR | Zbl

[12] Lotov A. V., Vvedenie v ekonomiko-matematicheskoe modelirovanie, Nauka, M., 1984 | MR | Zbl

[13] Bushenkov V. A., Gusev D. V., Kamenev G. K. i dr., “Vizualizatsiya mnozhestva Pareto v mnogomernoi zadache vybora”, Dokl. RAN, 335:5 (1994), 567–569 | Zbl

[14] Krivonozhko V. E., “Compound decomposition and interior point methods”, Dynamics of Non-Homogeneous Systems, Proc. ISA RAS, 3, Moscow, 2000, 8–26

[15] Krivonozhko B. E., Utkin O. B., Senkov P. B., “Parametricheskie metody v analize effektivnosti slozhnykh sistem”, Nelineinaya dinamika i upravlenie, ISA RAN, M., 1999, 49–69 | MR

[16] Krivonozhko V. E., Utkin O. B., Senjkov R. V., “Some new constructions in DEA approach and efficiency analysis of Russian banks”, Proc. Internat. DEA Symp., Brisbane, 2000, 24–35

[17] Krivonozhko V. E., Utkin O. B., Senjkov R. V., Antonov A. V., “Parametric optimization algorithms to efficiency analysis of the complex system”, CD Proc. $16^{\mathrm th}$ IMACS WORLD CONGRESS, Lausanne, 2000, 1–10

[18] Shepard R. W., Theory of cost and production functions, Princeton Univ. Press, New Jersey, 1970 | MR

[19] Trif A. A., Utkin O. B., Krivonozhko V. E. i dr., “Ustoichivost funktsionirovaniya finansovykh institutov”, Bankovskie tekhnologii, 1999, no. 9, 26–31

[20] Utkin O. B., Krivonozhko V. E., Volodin A. V., Sablin I. A., “Razvitie novykh tekhnologii sistemnogo analiza dlya analiza effektivnosti bankov”, Bankovskie tekhnologii, 2001, no. 5, 23–29

[21] Utkin O. B., Tankova O. V., Krivonozhko V. E. i dr., “Vybor proizvodstvennykh i ekonomicheskikh pokazatelei dlya analiza effektivnosti funktsionirovaniya neftyanykh kompanii”, Neft, gaz i biznes, 2000, no. 1, 27–33

[22] Krivonozhko V. E., Utkin O. B., Senkov R. V. i dr., “Analiz effektivnosti finansovykh institutov v ekonomike perekhodnogo perioda”, Nelineinaya dinamika i upravlenie, Fizmatgiz, M., 2001, 363–374