Optimal flow control in manufacturing systems: production planning and scheduling

Oded Maimon, Eugene Khmelnitsky, Konstantin Kogan

Research output: Book/ReportBookpeer-review


This book presents a unified optimal control approach to a large class of problems arising in the field of production planning and scheduling. It introduces a leading optimal flow control paradigm which results in efficient solutions for planning and scheduling problems. 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. The book examines control of production flows rather than sequencing of distinct jobs. 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. Given a manufacturing system, the goal is to control the production, subject to given constraints, in such a way that the demands are tracked as closely as possible. The book considers a wide variety of problems encountered in actual production planning and scheduling. Among the problems are production flow sequencing and timing, capacity expansion and deterioration, subcontracting and overtime. The last chapter is entirely devoted to applications of the theory to scheduling production flows in real-life manufacturing systems. The enclosed disk provides software implementations of the developed methods with easy, convenient user interface. We aimed this book at a student audience - final year undergraduates as weIl as master and Ph. D.
Original languageEnglish
Place of PublicationDordrecht; Boston
PublisherKluwer Academic Pub
Number of pages346
ISBN (Electronic)0792351061, 1475728344, 9780792351061
StatePublished - 1998

Publication series

NameApplied optimization
PublisherKluwer Academic Publishers
Volumev. 18

ULI Keywords

  • uli
  • Production planning
  • Production scheduling
  • Manufacturing planning
  • Process planning
  • Job scheduling (Production control)
  • Job-shop scheduling
  • Project scheduling (Production control)
  • Scheduling (Management)


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