Overview

Original Research

A STUDY ON M_X∕(G_1,G_2)∕1 WITH RETRIAL, RENEGING AT THE TIME OF VACATION AND BREAKDOWN PERIODS

S. SHANMUGASUNDARAM 1, and S. UTHAMAPRIYA 2.

Vol 18, No 10 ( 2023 )   |  DOI: 10.5281/zenodo.10078371   |   Author Affiliation: Assistant Professor of Mathematics, Government Arts College (Autonomous), Salem, Tamilnadu, India 1; PhD Research Scholar (Part-time), Department of Mathematics, Government Arts College (Autonomous), Salem, Tamilnadu, India 2.   |   Licensing: CC 4.0   |   Pg no: 1461-1480   |   Published on: 26-10-2023

Abstract

In this paper we study a two stage batch arrival queueing model and the server serves his service in a series. We deal with retrial to occur at the time of vacation and breakdown periods. We obtain the steady state equations to find the average queue length and average waiting time in the queue as well as in the system. In addition a few special cases are also considered and numerical illustrations are given to test the feasibility of the model.

Keywords

Batch Arrival; Vacation and Breakdowns; Retrial; Reneging; Steady State Queues.