Analysis of Finite Capacity Queueing System with Multiple Vacations and Encouraged Customers

S. Malik¹ , R. Gupta²

Section:Research Paper, Product Type: Journal-Paper
Vol.9 , Issue.2 , pp.17-22, Apr-2022

Online published on Apr 30, 2022

Copyright © S. Malik, R. Gupta . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this paper, a single server queueing model of finite size with multiple vacations and the encouraged arrival of customers is analyzed. The steady-state solution is obtained by using the recursive technique. Whenever the system is empty i.e, the server is idle, then the server goes on vacation. Upon vacation completion, if he finds any customer waiting for the service, he will return to normal working conditions otherwise he will go on another vacation and so on. Some of the operating characteristics of the system like expected queue length, sojourn time, and probabilities of different states of the server are derived via recursive technique. The term encouraged customers arises due to a sudden increase in the number of customers because of the attractive off-season sales or festive season discounts given by the firms.

Key-Words / Index Term :
Queueing model, Vacations, Encouraged customers, Performance measure, Poisson distribution

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