Mathematics of stochastic manufacturing systems

the long version

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). In this volume, leading experts in mathematical manufacturing research and related fields review and update recent advances of mathematics in 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.