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Titlebook: Optimization Under Stochastic Uncertainty; Methods, Control and Kurt Marti Book 2020 The Editor(s) (if applicable) and The Author(s), under

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书目名称Optimization Under Stochastic Uncertainty
副标题Methods, Control and
编辑Kurt Marti
视频video
概述Presents Stochastic Optimization/Control Methods and Random Search Methods (RSM) in one volume.Presents Homotopy methods for solving control problems under stochastic uncertainty.Includes convergence,
丛书名称International Series in Operations Research & Management Science
图书封面Titlebook: Optimization Under Stochastic Uncertainty; Methods, Control and Kurt Marti Book 2020 The Editor(s) (if applicable) and The Author(s), under
描述.This book examines application and methods to incorporating stochastic parameter variations into the optimization process to decrease expense in corrective measures. Basic types of deterministic substitute problems occurring mostly in practice involve i) minimization of the expected primary costs subject to expected recourse cost constraints (reliability constraints) and remaining deterministic constraints, e.g. box constraints, as well as ii) minimization of the expected total costs (costs of construction, design, recourse costs, etc.) subject to the remaining deterministic constraints..After an introduction into the theory of dynamic control systems with random parameters, the major control laws are described, as open-loop control, closed-loop, feedback control and open-loop feedback control, used for iterative construction of feedback controls. For approximate solution of optimization and control problems with random parameters and involving expected cost/loss-type objective,constraint functions, Taylor expansion procedures, and Homotopy methods are considered, Examples and applications to stochastic optimization of regulators are given. Moreover, for reliability-based analysis
出版日期Book 2020
关键词Stochastic Optimization Methods; Random Search Methods (RSM); Optimal Control under Stochastic Uncerta
版次1
doihttps://doi.org/10.1007/978-3-030-55662-4
isbn_softcover978-3-030-55664-8
isbn_ebook978-3-030-55662-4Series ISSN 0884-8289 Series E-ISSN 2214-7934
issn_series 0884-8289
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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https://doi.org/10.1007/978-3-030-55662-4Stochastic Optimization Methods; Random Search Methods (RSM); Optimal Control under Stochastic Uncerta
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Controlled Random Search Procedures for Global OptimizationSolving optimization problems arising from engineering and economics, as, e.g., parameter- or process-optimization problems, . where . is a measurable subset of . and . is a measurable real function defined (at least) on ., one meets often the following situation:
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Mathematical Model of Random Search Methods and Elementary PropertiesRandom search methods are special stochastic optimization methods to solve the following problem:
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Special Random Search MethodsAn important subclass is formed by those methods whose mutation transition probabilities .. have Lebesgue densities.
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Convergence of Stationary Random Search Methods for Positive Success ProbabilityLet . be in this section—in the sense of Definition .—a stationary R-S-M with the mutation transition probability .. Let us now again pose the question on which conditions . converge, i.e. when does . apply to any starting point .. ∈ .?
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