AN ADAPTIVE QUEUING SYSTEM MODEL.
Abstract
An adaptive gueuing system is one in which one or more parameters are adjusted on the basis of measurements of system variables. An M/M/1 gueueing system (Poisson input, exponential service, single channel) is made adaptive by adjusting the serivce rate on the basis of queue length. The steady/state queue length probabilities are obtained in terms of the values of a grain function at the measured queue lengths. Boundary conditions for a generating function are obtained from the gain function. The expected value and the variance of queue length are obtained explicitly for special cases. The results are illustrated graphically to show clearly the effects of adaptive control. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 31, 1963
- Accession Number
- AD0486873