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Optimality functions in stochastic programming - MaRDI portal

Optimality functions in stochastic programming (Q715095)

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scientific article; zbMATH DE number 6093785
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Optimality functions in stochastic programming
scientific article; zbMATH DE number 6093785

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    Optimality functions in stochastic programming (English)
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    15 October 2012
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    A stochastic programming problem is considered with nonlinear and possibly non-convex expected value objective and constraint functions. The concept of an optimality function is extended to stochastic programs, and applied to evaluate the quality of a candidate solution by means of confidence intervals. An algorithm is proposed which almost surely converges to a stationary (in the sense of Fritz-John conditions) point. Several numerical examples are included.
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    stochastic programming
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    optimality conditions
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    algorithm
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    convergence
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