Transient analysis of a non-preemptive priority queueing system

Authors

V S S Yadavalli, University of Pretoria, South Africa
Krishna Sundar Diatha, Indian Institute of Management BangaloreFollow
Swaminathan Udayabaskaran, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Chennai, India Tamilnadu 600062, India
C. T. Dora Pravina, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Chennai, India Tamilnadu 600062, India

Document Type

Article

Publication Title

Applied Mathematics and information Sciences

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.

DOI Link

10.18576/AMIS/120321

Publication Date

8-4-2018

Publisher

Natural Sciences Publishing USA

Volume

Vol.12

Issue

Iss.3

Recommended Citation

Yadavalli, V S S; Diatha, Krishna Sundar; Udayabaskaran, Swaminathan; and Pravina, C. T. Dora, "Transient analysis of a non-preemptive priority queueing system" (2018). Faculty Publications. 546.
https://research.iimb.ac.in/fac_pubs/546