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Stochastic Optimization Methods - Applications in Engineering and Operations Research (Paperback, Softcover reprint of the original 3rd ed. 2015)
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Stochastic Optimization Methods - Applications in Engineering and Operations Research (Paperback, Softcover reprint of the original 3rd ed. 2015)
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This book examines optimization problems that in practice involve
random model parameters. It details the computation of robust
optimal solutions, i.e., optimal solutions that are insensitive
with respect to random parameter variations, where appropriate
deterministic substitute problems are needed. Based on the
probability distribution of the random data and using decision
theoretical concepts, optimization problems under stochastic
uncertainty are converted into appropriate deterministic substitute
problems. Due to the probabilities and expectations involved, the
book also shows how to apply approximative solution techniques.
Several deterministic and stochastic approximation methods are
provided: Taylor expansion methods, regression and response surface
methods (RSM), probability inequalities, multiple linearization of
survival/failure domains, discretization methods, convex
approximation/deterministic descent directions/efficient points,
stochastic approximation and gradient procedures and
differentiation formulas for probabilities and expectations. In the
third edition, this book further develops stochastic optimization
methods. In particular, it now shows how to apply stochastic
optimization methods to the approximate solution of important
concrete problems arising in engineering, economics and operations
research.
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