A single server queueing system is considered in which two types of customers arrive according to independent Poisson processes. Customers of type 1 are of priority nature and the other customers of type 2 are of non-priority. Type 1 customers have nonpreemptive priority over type 2 customers. Assuming that service times for both types of customers have exponential distribution with mean 1/m, we obtain explicit expressions for the transient solution for the state probability distribution. We deduce the steady-state joint distribution of the number of customers of type 1 and customers of type 2 and also obtain performance measures of the system.
Digital Object Identifier (DOI)
S. S. Yadavalli, V.; Krishna Sundar, Diatha; Udayabaskaran, Swaminathan; and T. Dora Pravina, C.
"Transient Analysis of a Non-Preemptive Priority Queueing System,"
Applied Mathematics & Information Sciences: Vol. 12:
3, Article 21.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss3/21