Stationary analysis of infinite queueing system with two-stage network server

¹ Department of Mathematics, Bharathidasan Institute of Technology (BIT) Campus, Anna University, Tiruchirappalli 620024, India
² Department of Mathematics, IFET College of Engineering, Villupuram 605108, India

^* Corresponding author: vaithi05@gmail.com

Received: 18 December 2019
Accepted: 4 July 2020

Abstract

As the world’s major economies and technologies have matured, they are dominated by service-focused approach leading to study and analysis of service models for improved understanding and efficiency. Research in this direction has been done on various parameters of the finite queues using different approaches. The study discussed in this paper deals with the stationary behavior of two-stage queuing system with infinite capacity where any arriving customer is serviced in two stages in a mutually exclusion fashion. The steady state system size probabilities for the infinite capacity queueing system with two stages of service are obtained in recursive form. Further, numerical interpretations are presented to depict the system behavior for values of the parameters.