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Title : A General Model and Analysis of a Discrete Single-Stage Queue
Date : May 24, 2008
Speaker : Stanley B. Gershwin, Senior Research Scientist
Affiliation : Department of Mechanical Engineering Laboratory for Manufacturing and Productivity, Massachusetts Institute of Technology
Abstract
We consider discrete-state, discrete-time, single stage queuing system. The arrival and service processes of each machine are described by arbitrary Markov chains and the storage area is finite. The system as a whole is thus a Markov chain. Special cases of these models have been used for many years in the performance analysis of manufacturing systems.
Applications of these models include production lines with arbitrary up-time, down-time, and processing time distributions, models of lines with deteriorating quality and maintenance policies, and improvement of the accuracy in the decomposition analysis of large systems.
This talk is a summary of an analytic solution of the steady-state transition equations. Numerical results are shown.Biosketch
Stanley B. Gershwin is a Senior Research Scientist at the MIT Department of Mechanical Engineering. He is affiliated with MIT's Laboratory for Manufacturing and Productivity, Leaders for Manufacturing Program, and Operations Research Center.
He received the B.S. degree from Columbia University (1966); and the M.A. and Ph.D. in Applied Mathematics from Harvard University (1967 and 1971). He studied telephone systems at Bell Laboratories (1970-71) and manufacturing and transportation systems at the Draper Laboratory (1971-75) and at the MIT Laboratory for Information and Decision Systems (1975-87). He was Professor of Manufacturing Engineering at Boston University in 1986-87.
Dr. Gershwin has published "Manufacturing Systems Engineering" and numerous papers in international journals. Two of his papers received the Best Paper Award for the IIE Transactions issues on Design and Manufacturing, and one earned the Outstanding IIE Publication Award for 2000-2001. He has been an editor of two books and an associate editor of several international journals. He and his students have done research or consulted for Boeing, General Motors, Hewlett Packard, Johnson & Johnson, Peugeot, and others.
Dr. Gershwin is a member of INFORMS, the Institute of Industrial Engineers, and the Society of Manufacturing Engineers. He is a Fellow of the IEEE.
