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Nonlinear Optimization

Methods and Applications

  • H. A. Eiselt
  • Carl-Louis Sandblom
Textbook

Part of the International Series in Operations Research & Management Science book series (ISOR, volume 282)

Table of contents

  1. Front Matter
    Pages i-xii
  2. H. A. Eiselt, Carl-Louis Sandblom
    Pages 1-23
  3. H. A. Eiselt, Carl-Louis Sandblom
    Pages 25-76
  4. H. A. Eiselt, Carl-Louis Sandblom
    Pages 77-121
  5. H. A. Eiselt, Carl-Louis Sandblom
    Pages 123-172
  6. H. A. Eiselt, Carl-Louis Sandblom
    Pages 173-193
  7. H. A. Eiselt, Carl-Louis Sandblom
    Pages 195-242
  8. H. A. Eiselt, Carl-Louis Sandblom
    Pages 243-278
  9. H. A. Eiselt, Carl-Louis Sandblom
    Pages 279-328
  10. Back Matter
    Pages 329-366

About this book

Introduction

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.

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

Authors and affiliations

  • H. A. Eiselt
    • 1
  • Carl-Louis Sandblom
    • 2
  1. 1.Faculty of ManagementUniversity of New BrunswickFrederictonCanada
  2. 2.Department of Industrial EngineeringDalhousie UniversityHalifaxCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-19462-8
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-19461-1
  • Online ISBN 978-3-030-19462-8
  • Series Print ISSN 0884-8289
  • Series Online ISSN 2214-7934
  • Buy this book on publisher's site
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