Optimal Flow Control in Manufacturing Systems

Production Planning and Scheduling
1. Auflage. Softcover version of original hardcover Auflage 1998
ISBN: 978-1-4419-4799-4
Verlag: Springer US

Buch, Englisch, Band 18, 348 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 557 g

Reihe: Applied Optimization

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.

Zielgruppe

Research

Autoren/Hrsg.

Maimon, O.

Kogan, K.

Khmelnitsky, E.

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Mikroprozessoren
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Produktionstechnik Computergestützte Fertigung
• Wirtschaftswissenschaften Betriebswirtschaft Bereichsspezifisches Management Produktionsmanagement, Qualitätskontrolle
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Produktionstechnik Werkzeugbau

Inhaltsverzeichnis

1. Introduction.- 2. Mathematical Fundamentals of Optimal Control.- 3. One-Item Single-Facility Aggregate Production Planning Problems.- 4. Production Planning at Different Levels of Aggregation.- 5. Modeling Production Systems With Multi-Level Bills of Materials.- 6. Necessary Optimality Conditions for Scheduling Problems.- 7. Solution Methods.- 8. Implementation Methodology.- 9. Cases of Practical Scheduling.