Nonlinear Interval Optimization for Uncertain Problems

By: Chao Jiang, Xu Han, Huichao Xie

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Hardcover | 9 December 2020

At a Glance

Hardcover
298 Pages

Dimensions(cm)
23.5 x 15.5 x 1.75

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$219.00

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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 that 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 with satisfied engineering applicability that addressed the low efficiency caused by double layer nested optimization. Further, the book extends the nonlinear interval optimization theory to design problems involved with multiple optimization objectives, multiple disciplines, parameter dependence, etc., establishing 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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