Analysis of Bi-Tandem Priority Queue System in
Stochastic Environment

Aarti Saini; Deepak Gupta; A. K. Tripathi

doi:https://doi.org/10.14445/22315373/IJMTT-V69I5P505

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 69 | Issue 5 | Year 2023 | Article Id. IJMTT-V69I5P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I5P505

Analysis of Bi-Tandem Priority Queue System in Stochastic Environment

Aarti Saini, Deepak Gupta, A. K. Tripathi

Received	Revised	Accepted	Published
27 Mar 2023	02 May 2023	14 May 2023	31 May 2023

Abstract

This paper makes an effort to analyze Priority Queue Network model having two Bi-Tandem parallel servers linked in series to a central server. The different queue characteristics are derived using statistical techniques and the law of calculus. Time - independent solution of the system is derived by using Generating Function and Partial Generating Functions techniques. Poisson law is assumed to be followed by the arrival rates and services. The Performance of the model have been studied in stochastic environment. Mathematical formulation of the present model ensures implementation of proposed model in various real-world problems.

Keywords

Bi-Tandem, Numerical illustration, Stochastic environment, Traffic intensity, Variance.

References

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Citation :

Aarti Saini, Deepak Gupta, A. K. Tripathi, "Analysis of Bi-Tandem Priority Queue System in Stochastic Environment," International Journal of Mathematics Trends and Technology (IJMTT), vol. 69, no. 5, pp. 54-69, 2023. Crossref, https://doi.org/10.14445/22315373/IJMTT-V69I5P505