International Journal of Mathematics Trends and Technology
Volume 69 | Issue 4 | Year 2023 | Article Id. IJMTT-V69I4P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I4P501
| Received | Revised | Accepted | Published |
|---|---|---|---|
| 16 Feb 2023 | 20 Mar 2023 | 03 Apr 2023 | 15 Apr 2023 |
This paper is a study of biserial servers connected in series with the common intermediate server. Queue discipline before the entry-level servers in the system is considered pre-emptive priority discipline. The arrival rate is supposed to follow Poisson distribution, and the service pattern is exponentially distributed. A steady-state analysis of the model is done by using various statistical tools. The methodology used to obtain the Probability distribution function is G.F and P.G.F. The present model helps reduce congestion and enhance the optimum utilization of servers in such types of real-world problems. A numerical illustration is given to validate the study.
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Aarti Saini, Deepak Gupta, A. K. Tripathi, "Analytical Study of Priority Biserial Queue System," International Journal of Mathematics Trends and Technology (IJMTT), vol. 69, no. 4, pp. 1-10, 2023. Crossref, https://doi.org/10.14445/22315373/IJMTT-V69I4P501
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