Overview
- Presents a broad range of nonlinear programming applications from a diverse mix of fields
- Includes an in-depth discussion of the main solution techniques
- Each method is formally described, and then fully solved using a numerical example
Part of the book series: International Series in Operations Research & Management Science (ISOR, volume 282)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
Keywords
- Deterministic models
- Karush-Kuhn-Tucker conditions
- Nonlinear programming
- Single-variable unconstrained optimization
- Multiple-variable unconstrained optimization
- Portfolio selection applications
- Water quality management applications
- Economic planning applications
- Production planning applications
- Traffic planning applications
- Nonlinear regression and curve fitting
- Location applications
- Reference point programming with Euclidian distance
- Optimality conditions and duality
- Barrier and penalty methods
- Everett's method
- Augmented Lagrangean methods
- Wolfe's method
- Linear complementarity problem
- Convex objective problem
About this book
Reviews
“This book may be very useful as a textbook for nonlinear optimization courses.” (Juan Enrique Martinez-Legaz, zbMATH 1498.90001, 2022)
“This textbook presents a nice, well-written overview on solution methods and practical applications of unconstrained and (linearly and nonlinearly) constrained optimization problems.” (Jan-J. Rückmann, Mathematical Reviews, August, 2020)
Authors and Affiliations
About the authors
H. A. Eiselt is a Professor in the Faculty of Business Administration at the University of New Brunswick, Canada. After working for eight years at Concordia University in Montreal, he joined the Faculty of Business Administration in Fredericton, New Brunswick, in 1986. He teaches Quantitative Analysis and Location Theory in the BBA program. Dr. Eiselt received the UNB Merit Award in 1991 and 2016. He received the Faculty of Business Administration’s Excellence in Research Award in 1998, 2003, and 2015 for outstanding performance across his career. He is Associate Editor of INFOR, and a member of the Advisory or Editorial Boards of Computers & Operations Research, and the International Journal of Operations, Quantitative Management. He has published 115 articles in scientific journals as well as 12 books, 9 of which with Springer.
Carl-Louis Sandblom is Professor Emeritus in the Department of Industrial Engineering at Dalhousie University in Halifax, Canada, an institutionwhere he has been since 1985. Prior to that, Dr. Sandblom taught at Concordia University in Montreal and at the University of Birmingham in the UK where he earned his PhD. He has published about 50 articles in scientific journals as well as 8 books.
Bibliographic Information
Book Title: Nonlinear Optimization
Book Subtitle: Methods and Applications
Authors: H. A. Eiselt, Carl-Louis Sandblom
Series Title: International Series in Operations Research & Management Science
DOI: https://doi.org/10.1007/978-3-030-19462-8
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-19461-1Published: 18 November 2019
Softcover ISBN: 978-3-030-19464-2Published: 18 November 2020
eBook ISBN: 978-3-030-19462-8Published: 09 November 2019
Series ISSN: 0884-8289
Series E-ISSN: 2214-7934
Edition Number: 1
Number of Pages: XII, 366
Number of Illustrations: 79 b/w illustrations, 20 illustrations in colour
Topics: Continuous Optimization, Operations Research/Decision Theory, Engineering Economics, Organization, Logistics, Marketing, Operations Research, Management Science