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This book deals with lotsizing and scheduling and shows how to determine the size and sequence of lots for a production facility at minimal costs with respect on demand and capacity constraints. Lotsizing is of growing importance in research, teaching, and practice. The discussion of existing models which are proposed in literature results in new types of models for lotsizing and (semi-) scheduling. The models take respect on setup times, sequence dependent setup costs, multi-machines, and make-or-buy decisions in a single- or multi-stage environment.