Browsing University of Waterloo by Author "Granville, Kevin"
Now showing items 1-4 of 4
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A 2-class maintenance model with dynamic server behavior
Granville, Kevin; Drekic, Steve (Springer, 2019-04-29)We analyze a 2-class maintenance system within a single-server polling model framework. There are C+f machines in the system, where C is the cap on the number of machines that can be turned on simultaneously (and hence, ... -
An Application of Matrix Analytic Methods to Queueing Models with Polling
Granville, Kevin (University of Waterloo, 2019-08-23)We review what it means to model a queueing system, and highlight several components of interest which govern the behaviour of customers, as well as the server(s) who tend to them. Our primary focus is on polling systems, ... -
On a 2-class polling model with reneging and ki -limited service
Granville, Kevin; Drekic, Steve (Springer, 2018-06-18)This paper analyzes a 2-class, single-server polling model operating under a ki-limited service discipline with class-dependent switchover times. Arrivals to each class are assumed to follow a Poisson process with phase-type ... -
The Unobserved Waiting Customer Approximation
Granville, Kevin; Drekic, Steve (Springer, 2021-06-02)We introduce a new approximation procedure to improve the accuracy of matrix analytic methods when using truncated queueing models to analyse infinite buffer systems. This is accomplished through emulating the presence of ...