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Recent advances in the theory and practice of production scheduling cut across traditional disciplinary boundaries. Different research communities have addressed different aspects of the problem, bringing to bear a variety of research traditions, problem perspectives, and analytical techniques. The breadth and practical implications of contemporary work in this field is assessed. A structured overview, a high-level bibliography, and a limited critique of seven scheduling paradigms are provided. The sense and direction of current developments in each of these seven areas are summarized. The contributions, strengths, and weaknesses of each approach are considered