Analysis of a single server batch arrival non-Markovian queuing model approach in classification of foot thermograms Online publication date: Fri, 28-Oct-2022
by R. Vanalakshmi; S. Maragathasundari; Josephine Selle Jeyanathan
International Journal of Mathematical Modelling and Numerical Optimisation (IJMMNO), Vol. 12, No. 4, 2022
Abstract: In this article, a single server non-Markovian queuing model with Poisson arrivals in stacks of different sizes is discussed. The server provides clients with a general service at a time with a random duration setup time after completing the first level of service. Also, the setup time stage is introduced to carry out the preparatory work required for the stage 2 service and customers may renege during the setup phase. Additionally, the server is subject to random interruption during the third stage of service and it enters into the repair process immediately. The effect of the setup time stage, interruption and reneging in the defined queuing system are well analysed. Using the supplementary variable technique of queuing theory, the duration of the queue length of different states of the system in terms of probability generating functions and the queue performance measures are determined. The issue of characterised lines is very much clarified by a reasonable application and supported by a mathematical portrayal.
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Mathematical Modelling and Numerical Optimisation (IJMMNO):
Login with your Inderscience username and password:
Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.
If you still need assistance, please email subs@inderscience.com