Keywords
- Stochastic Programming
- Duality Relation
- Positive Borel Measure
- Stochastic Optimization Problem
- Apply System Analysis
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References
Yu. Ermoliev, and A. Gaivoronski (1984), Duality relations and numerical methods for optimization problems on the space of probability measures with constraints on probability densities. Working Paper WP-84-46, Laxenburg, Austria: International Institute for Applied Systems Analysis.
A. Gaivoronski, (1985) Stochastic Optimization Techniques for finding optimal submeasures. Working Paper WP-85-28, Laxenburg, Austria: International Institute for Applied Systems Analysis.
H.P. Wynn (1977), Optimum designs for finite population sampling. S.S. Gupta and D.S. Moore, eds., in: Statistical Decision and Related Topics II. Academic Press, New York.
H. P. Wynn. Optimum submeasures with application to finite population sampling. Private communication.
J. Birge, and R. Wets (1983), Designing approximation schemes for stochastic optimization problems, in particular for stochastic problems with recourse. Working paper WP-83-114, Laxenburg, Austria: International Institute for Applied Systems Analysis.
P. Kall, Karl Frauendorfer, and A. Ruszczyński (1984), Approximation techniques in stochastic programming. Working paper, Institute of Operations Research, University of Zurich.
W.K. Klein Haneveld (1984), Abstract LP duality and bounds on variables. Discussion paper 84-13-OR, University of Groningen.
N. Dunford, and J.T. Schwartz (1957), Linear Operators. Part I: General Theory Interscience Publ. Inc. New York.
R.T. Rockafellar (1970), Convex Analysis. Princeton University Press, Princeton.
F.H. Clarke (1983), Optimization and nonsmooth analysis, John Wiley & Sons, New York.
R.J. T. Morris (1979), Optimal constrained selection of a measurable set, J. Math. Anal. Appl. 70:546–562.
Yu. Ermoliev (1976), Methods of stochastic programming (in Russian). Nauka, Moscow.
A. Gaivoronski (1978), Nonstationary problem of stochastic programming with varying constraints, in: Yr. Ermoliev, I. Kovalenko, eds., Mathematical Methods of Operations Research and Reliability Theory. Institute of Cybernetics Press, Kiev, 1978.
Yu. Ermoliev, and A. Gaivoronski, Simultaneous nonstationary optimization estimation and approximation procedures. Stochastics, to appear.
J. Kiefer, and J. Wolfowitz (1959), Optimum designs in regression problems. Annals of Mathematicsl Statistics 30:271–294.
P. Whittle (1973), Some general points in the theory of optimal experimental design. Journal of the Royal Statistical Society, Series B 35:123–150.
V. Fedorov (1972), Theory of Optimal Experiments. Academic Press, New York, 1972.
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© 1986 International Institute for Applied Systems Analysis
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Gaivoronski, A. (1986). Stochastic optimization techniques for finding optimal submeasures. In: Arkin, V.I., Shiraev, A., Wets, R. (eds) Stochastic Optimization. Lecture Notes in Control and Information Sciences, vol 81. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0007112
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DOI: https://doi.org/10.1007/BFb0007112
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