Article ID: | iaor20031648 |
Country: | Netherlands |
Volume: | 112 |
Issue: | 1 |
Start Page Number: | 139 |
End Page Number: | 152 |
Publication Date: | Apr 2002 |
Journal: | Annals of Operations Research |
Authors: | Grassmann Winfried K., Drekic Steve |
In this paper, we present a novel approach to determining the steady-state distribution for the number of jobs present in a 2-class, single server preemptive priority queueing model where the low priority source population is finite. Arrivals are assumed to be Poisson with exponential service times. The system investigated is a quasi birth and death process, and the joint distribution is derived via the method of generalized eigenvalues. Using this approach, we are able to obtain all eigenvalues and corresponding eigenvectors explicitly. Furthermore, we link this method to the matrix analytic approach by obtaining an explicit solution for the rate matrix