Nonlinear Optimization : Methods and Applications (International Series in Operations Research & Management Science) （2019）

Eiselt, H. A./ Sandblom, Carl-Louis

Springer Nature Switzerland AG（2020/11発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 366 p.
• 言語 ENG
• 商品コード 9783030194642
• DDC分類 519.6

Full Description

This book provides a comprehensive introduction to nonlinear programming, featuring a broad range of applications and solution methods in the field of continuous optimization. It begins with a summary of classical results on unconstrained optimization, followed by a wealth of applications from a diverse mix of fields, e.g. location analysis, traffic planning, and water quality management, to name but a few. In turn, the book presents a formal description of optimality conditions, followed by an in-depth discussion of the main solution techniques. Each method is formally described, and then fully solved using a numerical example.

Contents

Introduction.- Unconstrained Optimization.- Applications of Nonlinear Programming.- Optimality Conditions and Duality Theory.- General Solution Methods for Constrained Optimization.- Methods for Linearly Constrained Problems.- Methods for Nonlinearly Constrained Problems.- Geometric Programming.