A Queuing Process with Bi-Level Hysteretic Service-Rate Control

摘要

The purpose of the report is to analyze the effect of a particular control doctrine applied to the service mechanism of a queueing process. A bi-level hysteretic control based on queue length control levels is employed in an M/M/1 queuing system. Expressions are obtained for queue length probabilities, the first two factorial moments of queue length and two figures of merit for describing control performance under the assumption of statistical equilibrium. Computational examples illustrate the effects on queueing processes subject to this type of control. The analysis can be extended to multi-level control by considering cascaded bi-level hysteretic loops. (Author)