Preface -- Chapter 1. Basic Notions and Definitions -- 1.1. Introduction -- 1.2. Basic Notions of Analysis and Linear Algebra -- 1.3. Basic Notions and Properties of Optimization Problems -- Chapter 2. Elements of Convex Analysis. Theorems of the Alternative for Linear Systems. Tangent Cones --...

Part 1: Lessons -- Chapter 1: Introduction -- Chapter 2: IBM ILOG CPLEX Optimization Studio—A primer -- Chapter 3: Setting up a model -- Chapter 4: Data structures and related OPL language elements -- Chapter 5: Introduction to IBM ILOG Script -- Chapter 6: Modeling with tuples -- Chapter 7:...

This textbook on Linear and Nonlinear Optimization is intended for graduate and advanced undergraduate students in operations research and related fields. It is both literate and mathematically strong, yet requires no prior course in optimization. As suggested by its title, the book is divided...