Study on Neutrosophic Priority Discipline Queuing Model

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.