Mathematics of Stochastic Manufacturing Systems: AMS-SIAM Summer Seminar in Applied Mathematics, June 17-22, 1996, Williamsburg, Virginia

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George Yin, Qing Zhang
American Mathematical Soc., Jan 1, 1997 - Business & Economics - 399 pages
This volume presents the proceedings of the 26th AMS-SIAM Summer Seminar in Applied Mathematics, "The Mathematics of Stochastic Manufacturing Systems", held in June 1996 at the College of William and Mary (Williamsburg, VA, USA). Manufacturing is facing rapidly growing challenges in the global marketplace. As an ever growing discipline, its research involves a wide spectrum of techniques that go far beyond traditional applied mathematics. Manufacturing research cuts across the disciplines of operations research, management science, industrial engineering, systems theory, and applied mathematics. At the forefront of this interdisciplinary area, research in mathematical and computational sciences has become indispensable in the development of existing techniques and management practices. In this volume, leading experts in mathematical manufacturing research and related fields review and update recent advances in mathematics of stochastic manufacturing systems and attempt to bridge the gap between theory and applications. The topics covered include scheduling and production planning, modeling of manufacturing systems, hierarchical control for large and complex systems, Markov chains, queueing networks, numerical methods for system approximations, singular perturbed systems, risk-sensitive control, stochastic optimization methods, discrete event systems, and statistical quality control. This book presents research problems, techniques for dealing with problems, and future directions. The interdisciplinary nature is of great advantage to the applied mathematics and manufacturing research community.
 

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Contents

OPTIMAL CONTROL OF FLUID LIMITS OF QUEUING NETWORKS AND STOCHASTICITY CORRECTIONS
1
Robust Control of Semiconductor Manufacturing Processes
37
Maintenance and Production Control of Manufacturing Systems with Setups
55
Optimal sS Production Policies with Delivery Time Guarantees
71
Identification and Control of a Stochastic Manufacturing System with Noisy Demand
83
Stochastic Optimization via Grid Search Katherine Bennett Ensor and Peter W Glynn
89
Optimal Ergodic Control of Singularly Perturbed Hybrid Stochastic Systems
101
Bounding
127
Stochastic Adaptive Control and Manufacturing Systems
201
Coupling Ergodicity and Sensitivity of Markov Processes
219
Optimal Feedback Controls in Dynamic Stochastic Jobshops
235
Using Renyi entropies to measure uncertainty in search problems
253
The Role of Information in Scheduling Machines to Supply a Production Line
269
Some Insights into NearOptimal Plans for Stochastic Manufacturing Systems
287
On Stochastic Optimization and Its Applications to Manufacturing
317
Stochastic Scheduling via Polymatroid Optimization David D Yao and Li Zhang
333

bounds for closed queueing networks a primal approach
139
Risk Sensitive Optimal Control of Wear Processes
163
Stability and optimization of queueing networks and their fluid models
175
Maximum Principle for Control of Piecewise Deterministic Markov Processes
365
Autocorrelation Analysis of Some Linear Transfer Function Models and Its Applications in the Dynamic Process Systems
385
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