Analysis of a Three-Queue Polling System with Probabilistic Routing
No Thumbnail Available
Date
2014-06-01
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Faculty of Physical Sciences, University of Ilorin, Ilorin, Nigeria
Abstract
In this paper, we consider a three-queue polling system with probabilistic routing. The choice of the queue to be visited next may depend on the current state of the system through the polling probability. Using the embedded Markov chain technique, we derived expressions for the steady-state joint and marginal queue length distribution at the switch points, as well as the waiting time distribution at each queue. The relation between the queue length and waiting time distributions becomes inherent in the model, providing a platform for easily computing waiting time moments.
Description
Keywords
Polling model, probability generating function, Laplace-Stieltjes transform, super cycle, Stochastic processes
Citation
Ikoba, N. A. and Obilade, T. O. (2014). Analysis of a Three-Queue Polling System with Probabilistic Routing. Ilorin Journal of Science, 1 (1); 87-99