Part I: Combinatorial Optimization, Complexity Theory and Problem Modelling -- 1. Elements of Graphs and Complexity Theory -- 2. A Short List of Combinatorial Optimization Problems -- 3. Problem Modelling -- Part II: Basic Heuristic Techniques -- 4. Constructive Methods -- 5. Local Search -- 6....

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 book provides an essential introduction to Stochastic Programming, especially intended for graduate students. The book begins by exploring a linear programming problem with random parameters, representing a decision problem under uncertainty. Several models for this problem are presented,...

Convex Sets: Basic properties -- Convex Sets: Binary Operations -- Convex Sets: Topological Properties -- Convex Sets: Dual Description -- Convex Functions: Basic Properties -- Convex Functions: Dual Description -- Convex Problems: The Main Questions -- Optimality Conditions: Reformulations --...