Study on Neutrosophic Priority Discipline Queuing Model

Authors

  • V. Suvitha 1Department of Mathematics, College Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur - 603 203, Tamil Nadu, INDIA;
  • S. Mohanaselvi 1Department of Mathematics, College Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur - 603 203, Tamil Nadu, INDIA;
  • Broumi Said Faculty of Science Ben MSik, University Hassan II, Casablanca, Morocco;

Keywords:

Neutrosophic set; single value trapezoidal Neutrosophic number; Neutrosophic Markov chain; priority queue.

Abstract

In this paper, the priority disciplined queuing models are investigated under neutrosophic environment. It develops and optimizes a model with non-preemptive priorities system, denoted by NM/NM/1. It is
a queuing model where the arrivals follow a Poisson process, service times are exponentially distributed and
there is only one server whose arrival rate and service rate are represented in terms of single valued trapezoidal
Neutrosophic number (SVTNN). Using (α, β, γ)-cut approach and Zadehs extension principle, the Neutrosophic
queuing model is reduced to a crisp model and results are discussed. An illustrative example is provided to
understand the analytical procedure developed in this paper.

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Published

2023-01-01

Issue

Vol. 53 (2023): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

V. Suvitha, S. Mohanaselvi, & Broumi Said. (2023). Study on Neutrosophic Priority Discipline Queuing Model. Neutrosophic Sets and Systems, 53, 401-420. https://fs.unm.edu/nss8/index.php/111/article/view/3236