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SOLUTION IMPROVEMENT IN THE TASK OF MULTI-EXTREMAL STOCHASTIC PROGRAMMING
Abstract
Decision-making theory has been developing significantly for the last 50 years. It finds its various applications in the very different fields of human activities: engineering, social and life science, and sure economics. The task of substantiating decisions under conditions of uncertainty of all types, except for a priori is reduced to narrowing the initial set of alternatives based on the information available to the decision maker. The quality of recommendations for decision-making under conditions of stochastic uncertainty is enhanced by taking into account such characteristics of the decision maker's personality as the attitude to one's own gains and losses, and the propensity to take risks. Justification of decisions under conditions of a priori uncertainty is possible by constructing adaptive control algorithms. While solving multi-stage tasks, it is necessary to minimize corresponding criteria of the objective function at every stage, which due to disturbing initial conditions of the problem, may take place. As one of the possible approaches to this task, let us take for consideration multi-extremal task of stochastic programming.
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Kolbin V.V. Decision making and programming. World Scientific Publ. Company. Singapore, 2003. 745 p.
Yudin D.B. Computational methods of decision-making theory. Nauka, M.:, 1989.
Aizerman M.A., Aleskerov F.T. Choosing of the variants: fundamentals of the theory, Moscow, Nauka, 1990.
Abramov L.M., Kapustin V.F. Mathematical programming. SPbU publ., Leningrad, 1976.
Yudin D.B. Mathematical methods of control under conditions of incomplete information. Soviet radio, Moscow, 1989
Williams A.C. On stochastic linear programming. J. Soc. Induzt. Appl. MTH. 927- 940, 1965.
Main H., Osaki S. Markov processes in decision-making. Nauka, Moscow, 1977.
Fishburn, Peter C. Utiliti theory for decision making / Peter C. Fishburn New York, 1970.
Zubov V.I., Petrosyan L.A. The problem of capital distribution. SPbU publ., Leningrad 1971.
Zubov V.I., Petrosyan L.A. Mathematical methods for planning. SPbU publ., Leningrad, 1982
Neiman J., Morgenshtern O. Game theory and economic behavior. Nauka, Мoscow, 1970.
Wets R. Stochastic programs with fixed recourse. SIAM Rev., 309-339, 1974.
Tabak A., Kuo B. Optimal control and mathematical programming. Nauka, Moscow, 1975.
George F.H. Problem solving, 1980.
Fishburn P.C. General theory of subjective probabilities and expected utilities. Ann. Math. Statistics, 40, 1969.
Fishburn P.C. Even-chance lotteries in social choice theory. Theory and Decision, 18-40, 1972.
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