Methodologically, this paradigm allows us to progress from initial assumptions about a manufacturing environment, through mathematical models and construction of numerical methods, up to practical applications which prove the relevance of the theory developed here to the real world. The book examines control of production flows rather than sequencing of distinct jobs. This book also introduces the reader to analytical and numerical methods of the maximum principle, used here as a mathematical instrument in modeling and solving production planning and scheduling problems. It introduces a leading optimal flow control paradigm which results in efficient solutions for planning and scheduling problems. This book presents a unified optimal control approach to a large class of problems arising in the field of production planning and scheduling.
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