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Average-Cost Control of Stochastic Manufacturing Systems » (1st Edition)

Book cover image of Average-Cost Control of Stochastic Manufacturing Systems by Suresh Sethi

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

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Author Biography: Suresh Sethi

Book Synopsis

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.

Table of Contents

Pt. IIntroduction and models of manufacturing systems1
1Concept of near-optimal control3
2Models of manufacturing systems11
Pt. IIOptimal control of manufacturing systems : existence and characterization21
3Optimal control of parallel-machine systems23
4Optimal control of dynamic flowshops67
5Optimal controls of dynamic jobshops97
6Risk-sensitive control125
Pt. IIINear-optimal controls143
7Near-optimal control of parallel-machine systems145
8Near-optimal control of dynamic flowshops171
9Near-optimal controls of dynamic jobshops199
10Near-optimal risk-sensitive control227
Pt. IVConclusions239
11Further extensions and open research problems241
Pt. VAppendices247
App. AFinite state Markov chains249
App. BConvergence and error estimates of Markov chains253
App. CConvex sets and functions283
App. DViscosity solutions of HJB equations287
App. EDiscounted cost problems295

Subjects