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Focusing on the structural aspects of semi-infinite optimization, this book delves into its applications across various fields, including engineering and economics. It presents optimality conditions that reflect the unique structure of general semi-infinite programs and introduces a novel solution method that leverages their bi-level structure for efficient solving. The initial chapter provides historical context, while subsequent sections highlight real-world problems, such as Chebyshev approximation and robust optimization, that can be modeled as semi-infinite programs.
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Bi-Level Strategies in Semi-Infinite Programming, Oliver Stein
- Language
- Released
- 2003
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- Title
- Bi-Level Strategies in Semi-Infinite Programming
- Language
- English
- Authors
- Oliver Stein
- Publisher
- Springer US
- Publisher
- 2003
- Format
- Hardcover
- Pages
- 236
- ISBN13
- 9781402075674
- Category
- Mathematics
- Description
- Focusing on the structural aspects of semi-infinite optimization, this book delves into its applications across various fields, including engineering and economics. It presents optimality conditions that reflect the unique structure of general semi-infinite programs and introduces a novel solution method that leverages their bi-level structure for efficient solving. The initial chapter provides historical context, while subsequent sections highlight real-world problems, such as Chebyshev approximation and robust optimization, that can be modeled as semi-infinite programs.