Optimal flow control in manufacturing systems: production planning and scheduling: Oded Maimon, Eugene Khmelnitsky, and Konstantin Kogan; Kluwer Academic Publishers, Dordrecht 1998, ISBN: 0-7923-5106-1

Abstract

Optimal Flow Control in Manufacturing Systems: Production Planning and Scheduling provides a much-needed contribution in the area of production planning and scheduling. Most books in this area either focus on speci"c theoretical and/or numerical solution methods for generic problems, or are primarily application-based, with only a dash of the underlying mathematical #avor. In contrast, Optimal Flow Control in Manufacturing Systems: Production Planning and Scheduling strives not only to cover both theory and application, but also to facilitate the transition from one to the other. It is successful in doing so. As such, this book is of potential interest to a variety of readers, from a variety of levels and backgrounds. The content of the book is quite ambitious in scope, covering multiple topics, each of which could be, indeed has been, by itself the focus of a book. Thus, the treatment of each topic is necessarily focused, but su$cient to convey the key ideas and methods to the reader. Also, a thorough reading and comprehension of the text requires mathematical sophistication at the advanced senior or graduate level. However, many of the results in the book may be implemented without complete knowledge of their derivations. Moreover, the book is self-inclusive to the extent that all of the information needed to understand and implement the approaches discussed is available in the text. This allows the book to be an important and practical read for practicing engineers as well. The accompanying software, while somewhat restrictive in its demo form, has a user-friendly interface, and is straightforward to learn. The practicing engineer may want to obtain a more sophisticated version of the software, which, it is noted, is available from the authors. Once adequately buckled in, the book takes the reader on an enjoyable journey, with the maximum principle as the main mode of transport. The book presents a uni"ed optimal control approach to modeling and analyzing problems commonly encountered in production environments. This approach consists of three stages: #ow control modeling of manufacturing processes; utilization of the maximum principle to analyze the optimal evolution of such processes; and construction of e$cient numerical methods which explicitly incorporate the derived optimality properties. The text is directed primarily towards an audience familiar with the basic aspects of production and operations management. It provides insight into how to resolve many of the issues typically encountered by engineers attempting to apply optimization techniques in practice. Among the issues covered are:

DOI: 10.1016/S0005-1098(01)00107-8

Cite this paper

@article{Perkins2001OptimalFC, title={Optimal flow control in manufacturing systems: production planning and scheduling: Oded Maimon, Eugene Khmelnitsky, and Konstantin Kogan; Kluwer Academic Publishers, Dordrecht 1998, ISBN: 0-7923-5106-1}, author={James R. Perkins}, journal={Automatica}, year={2001}, volume={37}, pages={1499-1500} }