Nonlinear Interval Optimization for Uncertain Problems
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Nonlinear Interval Optimization for Uncertain Problems

SKU: 9789811585463

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Additional information

Full Title

Nonlinear Interval Optimization for Uncertain Problems
Author(s)

Chao Jiang, Xu Han, Huichao Xie
Edition
ISBN

9789811585463, 9789811585456
Publisher

Springer
Format

PDF and EPUB

Description

This book systematically discusses nonlinear interval optimization design theory and methods. Firstly, adopting a mathematical programming theory perspective, it develops an innovative mathematical transformation model to deal with general nonlinear interval uncertain optimization problems, which is able to equivalently convert complex interval uncertain optimization problems to simple deterministic optimization problems. This model is then used as the basis for various interval uncertain optimization algorithms for engineering applications, which address the low efficiency caused by double-layer nested optimization. Further, the book extends the nonlinear interval optimization theory to design problems associated with multiple optimization objectives, multiple disciplines, and parameter dependence, and establishes the corresponding interval optimization models and solution algorithms. Lastly, it uses the proposed interval uncertain optimization models and methods to deal with practical problems in mechanical engineering and related fields, demonstrating the effectiveness of the models and methods.

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