Article ID: | iaor19942000 |
Country: | United States |
Volume: | 14 |
Issue: | 3/4 |
Start Page Number: | 457 |
End Page Number: | 473 |
Publication Date: | Nov 1993 |
Journal: | Queueing Systems |
Authors: | Langaris C. |
Keywords: | priority queues |
A two-stage queueing system with two types of customers and non-preemptive priorities is analyzed. There is no waiting space between stages and so the blocking phenomenon is observed. The arrivals follow a Poisson distribution for the high priority customers and a gamma distribution for the low priority customers, while all service times are arbitrarily distributed. The paper derives expressions for the Laplace transform of the waiting time density of a low priority customer both in the transient and the steady state.