Analysis Of Queue Network Model With Three Parallel Servers Connected In Series

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Published: Jul 25, 2023
DOI: https://doi.org/10.53555/jrtdd.v6i1.3219
Keywords:
Generating function technique queue length average waiting time parallel server serial server

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Neha Gupta
Deepak Gupta
Renu Gupta

Abstract

The present paper analyses a queue network model comprising of parallel subsystem commonly linked with two different service channels in series. The arrival   follows the poison distribution laws. The various queue parameters have been derived using generating function technique and laws of calculus in steady state condition. Numerical illustration provided validates the model in better way. The proposed model finds its applications in various fields like administrative setup, shopping malls, hospitals, banking sector and many similar real life situation.

Article Details

How to Cite
Neha Gupta, Deepak Gupta, & Renu Gupta. (2023). Analysis Of Queue Network Model With Three Parallel Servers Connected In Series. Journal for ReAttach Therapy and Developmental Diversities, 6(1), 2097–2103. https://doi.org/10.53555/jrtdd.v6i1.3219
Issue
Vol. 6 No. 1 (2023)
Section
Articles
Author Biographies

Neha Gupta

Research Scholar in Mathematics, Maharishi Markandeshwar (Deemed to be University), Mullana

Deepak Gupta

Prof & Head, Department of Mathematics, Maharishi Markandeshwar (Deemed to be University), Mullana

Renu Gupta

Assistant Professor of Mathematics Govt. College Naraingarh (Ambala)                 

References

(1) Erlang A.K.(1909). The theory of probability and telephone congestion. Nyt Tidsskrift for mathematics, 20,33-39.

(2) Jackson R.R.P(1954). Queuing system with phase type service. Operational Research, Quarterly ,5,109-120

(3) Suzuki, T. (1963). Two queues in series. JOR Soc. of Japan, 5, 149-155.

(4) Stidham Jr, S., & Weber, R. (1993). A survey of Markov decision models for control of networks of queues. Queueing systems, 13(1-3), 291-314.

(5) Xiao, H., & Zhang, G. (2010, January). The queuing theory application in bank service optimization. In 2010 International Conference on Logistics Systems and Intelligent Management (ICLSIM), 2,1097-1100.

(6) Gupta, D., Sharma, S., & Sharma, S. (2012). On Linkage of Parallel Biserial Servers Linked with a Common Server to a Three Stage Flow Shop Scheduling Model. International Journal of Applied Physics and Mathematics, 2(3), 152

(7) Suhasini, A. V. S., Rao, K. S., & Reddy, P. R. S. (2013). On parallel and series non homogeneous bulk arrival queueing model. Opsearch, 50, 521-547.

(8) Gupta, D., & Sharma, S. (2013). Analysis of Biserial Servers Linked to a Common Server in Fuzzy Environment. International Journal of Computer Applications, 68(6).

(9) Molla, M. A. A. (2017). Case Study for Shuruchi Restaurant Queuing Model. IOSR Journal of Business and Management, 19(02), 93-98.

(10) Singh, H., & Gupta, D. (2019). Analysis of a Network Queue Model Comprised of Parallel Channels Centrally Linked with A Common Server. Think India Journal, 22(14), 10089-10109.

(11) Gupta, D., & Gupta, R. (2021). Time independent analysis of biserial and parallel queuing models with batch arrival. Arya Bhatta Journal of Mathematics and Informatics, 13(1), 83-90.

(12) Saini, V., & Gupta, D. (2021). Analysis of a Complex Feedback Queue Network. Turkish Online Journal of Qualitative Inquiry, 12(7).

(13) Gupta, N., Gupta, D., & Gupta, R. (2022). Analysis of queue network system with bulk arrival. Arya Bhatta Journal of Mathematics and Informatics, 14(2), 209-216.

(14) Saini, V., Gupta, D., & Tripathi, A. K. (2022). Analytical study of a complex feedback semi bi-tandem queue system differs in transition probabilities. Arya Bhatta Journal of Mathematics and Inform.