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Nonlinear Optimization with Engineering Applications

  • Livre Relié
  • 280 Nombre de pages
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This book examines problems in science and engineering, describing key numerical methods applied to real life. It includes case st... Lire la suite
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Description

This book examines problems in science and engineering, describing key numerical methods applied to real life. It includes case studies in such areas as vehicle route planning and optimal control, scheduling and resource allocation, and worst-case analysis.

This textbook examines a broad range of problems in science and engineering, describing key numerical methods applied to real life. The case studies presented are in such areas as data fitting, vehicle route planning and optimal control, scheduling and resource allocation, sensitivity calculations and worst-case analysis. Chapters are self-contained with exercises provided at the end of most sections. Nonlinear Optimization with Engineering Applications is ideal for self-study and classroom use in engineering courses at the senior undergraduate or graduate level. The book will also appeal to postdocs and advanced researchers interested in the development and use of optimization algorithms.

Contenu

Preface.- 1. Introduction to engineering optimization problems.- 2. Some engineering problems in one variable.- 3. Numerical optimization in one variable.- 4. Route-planning and other problems in several variables.- 5. Gradients, Hessians and automatic differentiation.- 6. Optimality conditions for n variable unconstrained problems.- 7. Steepest descent method.- 8. Newton method .- 9. Quasi-Newton methods.- 10. Conjugate gradient methods.- 11. Problem transformations to handle constraints.- 12. Maintenance scheduling - a case study.- 13. Data fitting and identification.- 14. The Gauss-Newton method with examples.- 15. Power system scheduling and engineering problems involving constraints.- 16. Optimality conditions for equality constrained problems.- 17. Quadratic programming and reduced gradients with examples.- 18. Penalty function methods and examples.- 19. Sequential QP methods.- 20. Trajectory optimization- a case study.- 21. Wing design and other problems involving inequality constraints.- 22. Optimality conditions for inequality constrained problems.- 23. Extending equality methods for inequalities.- 24. Barrier methods.- 25. Interior point methods.- 26. Further trajectory optimization problems.- 27. Global optimization.- 28. Route-planning - a case study.- Index.

Informations sur le produit

Titre: Nonlinear Optimization with Engineering Applications
Auteur:
Code EAN: 9780387787220
ISBN: 978-0-387-78722-0
Format: Livre Relié
Genre: Mathématique
nombre de pages: 280
Poids: 601g
Taille: H235mm x B235mm
Année: 2008
Auflage: 2008

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