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Titlebook: Stochastic Programming 84, Part I; Andras Prékopa,Roger J.- B. Wets Book 1986Latest edition Springer-Verlag Berlin Heidelberg 1986 approxi

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Liqun Qihe obtained outcomes of this study designate that replacing cement with GP, sand with SD replacing and 5% of AH affect the mechanical properties of mortar. The apparent compressive strength and density is considerably decreased other hand abrasion resistance and water absorption percentage is slight
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Evaluation of a special multivariate gamma distribution function,tion the computer experiments show that our method has the same efficiency as other known methods. In the last paragraph we briefly describe the possible applications of the proposed algorithms in stochastic programming.
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A tight upper bound for the expectation of a convex function of a multivariate random variable,ction of a multivariate random variable to an arbitrary degree of accuracy. The results are useful in a wide variety of optimization applications. Some numerical work is provided to illustrate the use of the new bounds.
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A first order approach to a class of multi-time-period stochastic programming problems,variance is small compared with the mean. This is because in reality the random variables are nonnegative. Fortunately the approach also works if the variables are assumed to have Gamma distributions.
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Multidimensional numerical integration using pseudorandom numbers,fective error bounds for Monte Carlo integration with nodes derived from the two most common types of pseudorandom numbers, namely linear congruential pseudorandom numbers and Tausworthe pseudorandom numbers. We compare the results with those obtained by the use of quasirandom nodes.
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A first order approach to a class of multi-time-period stochastic programming problems,de inventories or new capacities of uncertain magnitude for use in the next time period. One approach is then to ignore the uncertainties and solve a deterministic model using mean values. A slightly more sophisticated approach is to make first-order corrections to allow for the uncertainty. This pa
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An approximation scheme for stochastic dynamic optimization problems,xactly solvable by straightforward dynamic programming. In particular, a problem arising from oil exploration is considered: for this problem, using the proposed approach, computational results are derived and compared to those obtained by means of other recent approximation schemes.
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