Lectures on Stochastic Programming: Modeling and Theory

Lectures on Stochastic Programming: Modeling and Theory

Alexander Shapiro, Darinka Dentcheva, Andrzej Ruszczynski
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Optimization problems involving stochastic models occur in almost all areas of science and engineering, such as telecommunications, medicine, and finance. Their existence compels a need for rigorous ways of formulating, analyzing, and solving such problems. This book focuses on optimization problems involving uncertain parameters and covers the theoretical foundations and recent advances in areas where stochastic models are available.

Readers will find coverage of the basic concepts of modeling these problems, including recourse actions and the nonanticipativity principle. The book also includes the theory of two-stage and multistage stochastic programming problems; the current state of the theory on chance (probabilistic) constraints, including the structure of the problems, optimality theory, and duality; and statistical inference in and risk-averse approaches to stochastic programming.

Audience: This book is intended for researchers working on theory and applications of optimization. It also is suitable as a text for advanced graduate courses in optimization.

Contents: Preface; Chapter 1: Stochastic Programming Models; Chapter 2: Two-Stage Problems; Chapter 3: Multistage Problems; Chapter 4: Optimization Models with Probabilistic Constraints; Chapter 5: Statistical Inference; Chapter 6: Risk Averse Optimization; Chapter 7: Background Material; Chapter 8: Bibliographical Remarks; Bibliography; Index.

Năm:
2009
Nhà xuát bản:
SIAM-Society for Industrial and Applied Mathematics
Ngôn ngữ:
english
Trang:
446
ISBN 10:
089871687X
ISBN 13:
9780898716870
Loạt:
MPS-SIAM Series on Optimization
File:
PDF, 2.11 MB
IPFS:
CID , CID Blake2b
english, 2009
Tải vè (pdf, 2.11 MB)
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