Transient Analysis of a Non-Preemptive Priority Queueing System

Authors

V. S. S. Yadavalli, Department of Industrial & Systems Engineering, University of Pretoria, South AfricaFollow
Diatha Krishna Sundar, Indian Institute of Management, Bangalore 560076, IndiaFollow
Swaminathan Udayabaskaran, Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Avadi, Chennai, Tamilnadu 600062, IndiaFollow
C. T. Dora Pravina, Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Avadi, Chennai, Tamilnadu 600062, IndiaFollow

Author Country (or Countries)

South Africa

Abstract

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)

http://dx.doi.org/10.18576/journal/100321

Recommended Citation

S. S. Yadavalli, V.; Krishna Sundar, Diatha; Udayabaskaran, Swaminathan; and T. Dora Pravina, C. (2018) "Transient Analysis of a Non-Preemptive Priority Queueing System," Applied Mathematics & Information Sciences: Vol. 12: Iss. 3, Article 21.
DOI: http://dx.doi.org/10.18576/journal/100321
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss3/21