Besides scheduling problems for single and parallel machines and shop scheduling problems the book covers advanced models involving due-dates, sequence dependent changeover times and batching. Also multiprocessor task scheduling and problems with multipurpose machines are discussed. The methods used to solve these problems are linear programming, dynamic programming, branch-and-bound algorithms, and local search heuristics. Complexity results for the different classes of deterministic scheduling problems are summarized. In the third edition of the book the complexity status of the different classes of scheduling problems is updated and corresponding references are added. New polynomial algorithms for single machine problems with release times and constant processing times are added.