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Preface | ||
Notation | ||
Pt. I | Introduction and Models of Manufacturing Systems | 1 |
1 | Concepts of hierarchical decision making | 3 |
2 | Models of manufacturing systems | 17 |
Pt. II | Optimal Control of Manufacturing Systems: Existence and Characterization | 29 |
3 | Optimal control of parallel machine systems | 31 |
4 | Optimal control of dynamic flowshops | 63 |
Pt. III | Asymptotic Optimal Controls | 83 |
5 | Hierarchical controls in systems with parallel machines | 85 |
6 | Hierarchical controls in dynamic flowshops | 131 |
7 | Hierarchical controls in dynamic jobshops | 157 |
8 | Hierarchical production and set up scheduling in a single machine system | 187 |
9 | Hierarchical feedback controls in two-machine flowshops | 219 |
Pt. IV | Multilevel Hierarchical Decisions | 249 |
10 | A production and capacity expansion model | 251 |
11 | Production-marketing systems | 277 |
Pt. V | Computations and Conclusions | 303 |
12 | Computations and evaluation of hierarchical controls | 305 |
13 | Further extensions and open research problems | 327 |
Pt. VI | Appendices | 335 |
A | Finite state Markov chains | 337 |
B | Martingale problems, tightness, and Skorohod representation | 341 |
C | Rate of convergence of Markov chains | 345 |
D | Control-dependent Markov chains | 357 |
E | Convergence of Markov chains with two parameters | 363 |
F | Convex functions | 369 |
G | Viscosity solutions of HJB equations | 371 |
H | Value functions and optimal controls | 379 |
I | A review of relevant graph theory | 385 |
J | Miscellany | 387 |
Bibliography | 393 | |
Author index | 411 | |
Subject index | 414 | |
Copyright permissions | 418 |
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