Optimal Control of Time-Varying Queuing Systems

F. T. Man
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F. T. Man: Bell Telephone Laboratories, Inc., Holmdel, New Jersey

Management Science, 1973, vol. 19, issue 11, 1249-1256

Abstract: The optimal control of a single-stage multi-server time-varying queuing system is considered. A mathematical model and an index of performance for the queuing system are formulated, and the optimal arrival rate of the input process to the service mechanism is then determined. Some of the physical implications of the optimal control policy relative to the dynamic overload control system presently adopted in the toll telephone network are discussed.

Date: 1973
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