Authors: Suresh Sethi, Qing Zhang, Han-Qin Zhang
ISBN-13: 9780387219479, ISBN-10: 0387219471
Format: Hardcover
Publisher: Springer-Verlag New York, LLC
Date Published: March 2005
Edition: 1st Edition
Most manufacturing systems are large, complex, and operate in an environment of uncertainty. It is common practice to manage such systems in a hierarchical fashion. This book articulates a new theory that shows that hierarchical decision making can in fact lead to a near optimization of system goals. The material in the book cuts across disciplines. It will appeal to graduate students and researchers in applied mathematics, operations management, operations research, and system and control theory.
Pt. I | Introduction and models of manufacturing systems | 1 |
1 | Concept of near-optimal control | 3 |
2 | Models of manufacturing systems | 11 |
Pt. II | Optimal control of manufacturing systems : existence and characterization | 21 |
3 | Optimal control of parallel-machine systems | 23 |
4 | Optimal control of dynamic flowshops | 67 |
5 | Optimal controls of dynamic jobshops | 97 |
6 | Risk-sensitive control | 125 |
Pt. III | Near-optimal controls | 143 |
7 | Near-optimal control of parallel-machine systems | 145 |
8 | Near-optimal control of dynamic flowshops | 171 |
9 | Near-optimal controls of dynamic jobshops | 199 |
10 | Near-optimal risk-sensitive control | 227 |
Pt. IV | Conclusions | 239 |
11 | Further extensions and open research problems | 241 |
Pt. V | Appendices | 247 |
App. A | Finite state Markov chains | 249 |
App. B | Convergence and error estimates of Markov chains | 253 |
App. C | Convex sets and functions | 283 |
App. D | Viscosity solutions of HJB equations | 287 |
App. E | Discounted cost problems | 295 |