Part 1: Basic Methodologies 1. Introduction, Overview and Definitions 2. Basic Methodologies and Applications 3. Restriction Methods 4. Greedy Methods 5. Recursive Greedy Methods 6. Local Ratio 7. LP Rounding and Extensions 8. Polynomial Time Approximation Schemes 9. Rounding, Interval Partitioning and Separation 10. Asymptotic Polynomial Time Approximation Schemes 11. Randomized Approximation Techniques 12. Distributed Approximation Algorithms via LP-duality and Randomization 13. Empirical Analysis of Randomised Algorithms 14. Reductions that Preserve Approximability 15. Differential Ratio Approximation Part 2: Local Search, Neural Networks, and Meta-heuristics 16. Local Search 17. Stochastic Local Search 18. Very Large Neighborhood Search 19. Reactive Search: Machine Learning for Memory-Based Heuristics 20. Neural Networks 21. Principles and Strategies of Tabu Search 22. Evolutionary Computation 23. An Introduction to Ant Colony Optimization Part 3: Multiobjective Optimization, Sensitivity Analysis and Stability 24. Stochastic Local Search Algorithms for Multiobjective Combinatorial Optimization: A Review 25. Reoptimization of Hard Optimization Problems 26. Sensitivity Analysis in Combinatorial Optimization 27. Stability of Approximation Part 4: Traditional Applications 28. Performance Guarantees for One Dimensional Bin Packing 29. Variants of Classical One Dimensional Bin Packing 30. Variable Sized Bin Packing and Bin Covering 31. Multidimensional Packing Problems 32. Practical Algorithms for Two-dimensional Packing of Rectangles 33. Practical Algorithms for Two-dimensional Packing of General Shapes 34. Prize Collecting Traveling Salesman and Related Problems 35. A Development and Deployment Framework for Distributed Branch and Bound 36. Approximations for Steiner Minimum Trees 37. Practical Approximations of Steiner Trees in Uniform Orientation Metrics 38. Algorithms for Chromatic Sums, Multicoloring, and Scheduling Dependent 39. Approximation Algorithms and Heuristics for Classical Planning 40. Generalized Assignment Problem 41. Probabilistic Greedy Heuristics for Satisfiability Problems 42. Linear Ordering Problem 43. Submodular FunctionsMaximization Problems