Practical Optimization Methods

1. Front Matter

   Pages i-xiii

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2. Optimization Problem Formulation

   • M. Asghar Bhatti

   Pages 1-45

3. Graphical Optimization

   • M. Asghar Bhatti

   Pages 47-73

4. Mathematical Preliminaries

   • M. Asghar Bhatti

   Pages 75-129

5. Optimality Conditions

   • M. Asghar Bhatti

   Pages 131-226

6. Unconstrained Problems

   • M. Asghar Bhatti

   Pages 227-313

7. Linear Programming

   • M. Asghar Bhatti

   Pages 315-436

8. Interior Point Methods

   • M. Asghar Bhatti

   Pages 437-494

9. Quadratic Programming

   • M. Asghar Bhatti

   Pages 495-579

10. Constrained Nonlinear Problems

    • M. Asghar Bhatti

    Pages 581-675

11. Back Matter

    Pages 677-715

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The goal of this book is to present basic optimization theory and modern computational algorithms in a concise manner. The book is suitable for un­ dergraduate and graduate students in all branches of engineering, operations research, and management information systems. The book should also be use­ ful for practitioners who are interested in learning optimization and using these techniques on their own. Most available books in the field tend to be either too theoretical or present computational algorithms in a cookbook style. An approach that falls some­ where in between these two extremes is adopted in this book. Theory is pre­ sented in an informal style to make sense to most undergraduate and graduate students in engineering and business. Computational algorithms are also de­ veloped in an informal style by appealing to readers' intuition rather than mathematical rigor. The available, computationally oriented books generally present algorithms alone and expect readers to perform computations by hand or implement these algorithms by themselves. This obviously is unrealistic for a usual introductory optimization course in which a wide variety of optimization algorithms are discussed. There are some books that present programs written in traditional computer languages such as Basic, FORTRAN, or Pascal. These programs help with computations, but are of limited value in developing understanding of the algorithms because very little information about the intermediate steps v ' Preface VI -------------------------------------------------------- is presented.

• Analysis
• Mathematica
• Optimality Conditions
• Optimization Methods
• Optimization Theory
• Optimization algorithm
• Optimization algorithms
• algorithm
• algorithms
• linear optimization
• optimization
• programming
• quadratic programming

• Department of Civil and Environmental Engineering, University of Iowa, Iowa City, USA

  M. Asghar Bhatti

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