Stochastic Optimization Methods

Optimization problems arising in practice involve random model parameters. For the computation of robust optimal solutions, i.e., optimal solutions being insensitive with respect to random parameter variations, appropriate deterministic substitute problems are needed. Based on the probability distri...

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Bibliographic Details
Main Author: Marti, Kurt
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2008, 2008
Edition:2nd ed. 2008
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Basic Stochastic Optimization Methods
  • Decision/Control Under Stochastic Uncertainty
  • Deterministic Substitute Problems in Optimal Decision Under Stochastic Uncertainty
  • Differentiation Methods
  • Differentiation Methods for Probability and Risk Functions
  • Deterministic Descent Directions
  • Deterministic Descent Directions and Efficient Points
  • Semi-Stochastic Approximation Methods
  • RSM-Based Stochastic Gradient Procedures
  • Stochastic Approximation Methods with Changing Error Variances
  • Reliability Analysis of Structures/Systems
  • Computation of Probabilities of Survival/Failure by Means of Piecewise Linearization of the State Function