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Analysis of Finite Source Queueing System with Catastrophe

J. Indhumathi1 , A. Muthu Ganapathi Subramanian2 , Gopal Sekar3

Section:Research Paper, Product Type: Journal Paper
Volume-07 , Issue-05 , Page no. 5-9, Mar-2019

CrossRef-DOI:   https://doi.org/10.26438/ijcse/v7si5.59

Online published on Mar 10, 2019

Copyright © J. Indhumathi, A. Muthu Ganapathi Subramanian, Gopal Sekar . 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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IEEE Style Citation: J. Indhumathi, A. Muthu Ganapathi Subramanian, Gopal Sekar, “Analysis of Finite Source Queueing System with Catastrophe,” International Journal of Computer Sciences and Engineering, Vol.07, Issue.05, pp.5-9, 2019.

MLA Style Citation: J. Indhumathi, A. Muthu Ganapathi Subramanian, Gopal Sekar "Analysis of Finite Source Queueing System with Catastrophe." International Journal of Computer Sciences and Engineering 07.05 (2019): 5-9.

APA Style Citation: J. Indhumathi, A. Muthu Ganapathi Subramanian, Gopal Sekar, (2019). Analysis of Finite Source Queueing System with Catastrophe. International Journal of Computer Sciences and Engineering, 07(05), 5-9.

BibTex Style Citation:
@article{Indhumathi_2019,
author = {J. Indhumathi, A. Muthu Ganapathi Subramanian, Gopal Sekar},
title = {Analysis of Finite Source Queueing System with Catastrophe},
journal = {International Journal of Computer Sciences and Engineering},
issue_date = {3 2019},
volume = {07},
Issue = {05},
month = {3},
year = {2019},
issn = {2347-2693},
pages = {5-9},
url = {https://www.ijcseonline.org/full_spl_paper_view.php?paper_id=795},
doi = {https://doi.org/10.26438/ijcse/v7i5.59}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v7i5.59}
UR - https://www.ijcseonline.org/full_spl_paper_view.php?paper_id=795
TI - Analysis of Finite Source Queueing System with Catastrophe
T2 - International Journal of Computer Sciences and Engineering
AU - J. Indhumathi, A. Muthu Ganapathi Subramanian, Gopal Sekar
PY - 2019
DA - 2019/03/10
PB - IJCSE, Indore, INDIA
SP - 5-9
IS - 05
VL - 07
SN - 2347-2693
ER -

           

Abstract

In this paper, we are analyzing the finite source queueing system with catastrophe. This model is completely solved by using continued fraction method. We have calculated the compact solutions of steady state probabilities of number of occupants in the system and various system performance measures. Analytical and pictorial studies are also carried out.

Key-Words / Index Term

Finite source queue - Catastrophe - Steady state probabilities - Continued fraction method - performance measures

References

[1] Artalejo. J.R, “A versatile approach for work removal in queueing networks, Journal of Operational Research”; Vol. 126, No. 2, pp 233-249, 2000.
[2] Donald Gross, JohnF.shortle,JamesM.Thompson, Carl M.Harris,” Fundamentals of queueing theory” John Wiley & sons publishers 4th edition, 2011.
[3] Hanson.F.Band H.C. Tuckwell, “Logistic growth with random density independent disasters”, Theoret. Popn. Biol., Vol. 19, pp 1-18, 1981.
[4] Hisao Kameda, “A finite source queue with different customers”, ACM, pp-478-479, vol.29, No.2 April, 2014.
[5] Jani.M, “Finite Capacity M/M/r Queuing system with Queue-dependent servers”,an International Journal Computer and mathematics with application 50 ,187-199,2005.
[6] Kalyanaraman.R, “A single server retrial queueing system with two types of arrivals and finite number of repeated customers”, open access article, March, 2015.
[7] Krishna Kumar.B, A. Krishnamoorthy, S. PavaiMadheswari and S. SadiqBasha, “Transient analysis of single server Queue with catastrophes, failures and repairs, Queueing systems”, Vol. 56, PP 133-141,2007.
[8] Muthuganapathi Subramanian.A, Gayathri .S,” A single server queuing system with catastrophe”, International journal of applied engineering research,ISSN 0973-4562, vol.10.No.72, 2015.