A Comprehensive study of Various Queue Characteristics using Tri-Cum Biserial Queuing Model

Sachin Kumar Agrawal¹ , B.K. Singh²

1. Department of Mathematics, IFTM University, Moradabad, India.
2. Department of Mathematics, IFTM University, Moradabad, India.

Correspondence should be addressed to: sachin269mit@gmail.com .

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.2 , pp.46-56, Apr-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i2.4656

Online published on Apr 30, 2018

Copyright © Sachin Kumar Agrawal, B.K. Singh . 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 the present article, a queuing model having three servers connected in parallel in a tri-cum biserial way has been presented. Statistical tools, generating function technique and the law of calculus have been implemented to compute the various queuing characteristics such as Queue length, variance, average waiting time and probabilities. The arrival and service pattern is supposed to follow the Poisson law. Generic mathematical formulation of queuing model has been presented to ensure the implementation of the presented model in various problems occurred in real-time domain. The presented model is easy to understand and also deliver an important tool for the decision makers dealing with multi-tasking problems.

Key-Words / Index Term :
Queue length, variance, average waiting time, probabilities

References :
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[7] S.K. Agrawal, and B.K. Singh, “Computation of various queue characteristics using tri-cum biserial queuing model connected with a common server”, International Journal of Mathematics Trends and Technology (IJMTT) – Volume 56 Number 1, 81-90, 2018. doi: 10.14445/22315373/IJMTT-V56P510.