1. Introduction -- 2. Deterministic models: preliminaries -- 3. Single machine models (deterministic) -- 4. Advanced single machine models (deterministic) -- 5. Parallel Machine models (deterministic) -- 6. Flow shops and flexible flow shops (deterministic) -- 7. Job shops (deterministic) -- 8. Open shops (deterministic) -- 9. Stochastic models: preliminaries -- 10. Single machine models (stochastic) -- 11. Single machine models with release dates (stochastic) -- 12. Parallel machine modes (stochastic) -- 13. Flow shops, job shops and open shops (stochastic) -- 14. General purpose procedures for deterministic scheduling -- 15. More advanced general purpose procedures -- 16. Modeling and solving scheduling problems in practice -- 17. Design and implementation of scheduling systems: basic concepts -- 18. Design and implementation of scheduling systems: more advanced concepts -- 19. Examples of system designs and implementations -- 20. What lies ahead? -- Appendices:A. Mathematical programming: formulations and applications -- B. Deterministic and stochastic dynamic programming -- C. Constraint programming -- D. Complexity theory -- E. Complexity classification of deterministic scheduling problems -- F. Overview of stochastic scheduling problems -- G. Selected scheduling systems -- H. The Lekin system.