Literature Cited
J. Kornai and T. Liptak, “The model of two-level planning,” in: Planning of Structural Decisions, North Holland, Amsterdam (1967).
V. A. Volkonskii, “Optimal planning in conditions of high dimensionality,” Ékonom. Mat. Metody,1, No. 2 (1965).
T. N. Pervozvanskaya and A. A. Pervozvanskii, “Algorithm for finding an optimal allocation of centralized resources,” Izv. Akad. Nauk SSSR, Tekh. Kibernetika, No. 3 (1966).
I. Mauer, “Penalty constant in block programming,” Izv. Akad. Nauk ÉstSSR, Fiz.-Mat.,20, No. 5 (1971).
Yu. M. Ermol'ev and L. G. Ermol'eva, “The method of parametric decomposition,” Kibernetika, No. 2 (1972).
A. I. Vereskov, “Utilization of gully descent in block programming,” Ékonom. Mat. Metody,9, No. 3 (1973).
J. L. Sanders, “A nonlinear decomposition principle,” Operat. Res.,13, No. 2 (1965).
W. Findeisen, “Parametric optimization by primal method in multilevel systems,” IEEE Trans. Syst. Sci. Cybernetics,SSC 4, No. 2 (1968).
A. M. Geoffrion, “Primal resource-directive approaches for optimizing non-linear decomposable systems,” Operat. Res.,18, No. 3 (1970).
G. Silverman, “Primal decomposition of mathematical programs by resource allocation,” Operat. Res.,20, No. 1 (1972).
J. G. Ecker, “Decomposition in separable geometric programming,” J. Optimiz. Theory Appl.,9, No. 3 (1972).
G. M. Levin and V. S. Tanaev, “Parametric decomposition of extremal problems,” Izv. Akad. Nauk BelorusSSR, No. 4 (1974).
G. M. Levin and V. S. Tanaev, “On the theory of decompositional transformations,” Dokl. Akad. Nauk BelorusSSR,18, No. 10 (1974).
G. M. Levin and V. S. Tanaev, “On the parametric decomposition of mathematical programs,” in: Computers in Machine Building [in Russian], Institute of Technical Cybernetics, Academy of Sciences of the Belorussian SSR, Minsk (March, 1974).
G. K. Goranskii, G. M. Levin, and V. S. Tanaev, “Optimizing operating regimes of machine tools,” in: Computers in Machine Building [in Russian], Institute of Technical Cybernetics, Academy of the Sciences of the Belorussian SSR, Minsk (March, 1970).
G. M. Levin and V. S. Tanaev, “Certain questions of the optimization of parameters of technological machines in automated design,” in: Computers in Machine Building [in Russian], Institute of Technical Cybernetics, Academy of Sciences of the Belorussian SSR, Minsk (September, 1971).
Additional information
Translated from Kibernetika, No. 3, pp. 123–128, May–June, 1977.
Rights and permissions
About this article
Cite this article
Levin, G.M., Tanaev, V.S. Parametric decomposition of extremal problems. Cybern Syst Anal 13, 442–448 (1977). https://doi.org/10.1007/BF01069666
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01069666