Study on Neutrosophic Non-Preemtive Prority Queue with Uneven Service Rate

This chapter presents a practical method for evaluating the performance measures of non-preemptive neutrosophic priority queues with uneven services, labeled as NM/NM/1. This system comprises a solitary server, where both arrival and service rates are expressed using a single-valued trapezoidal neutrosophic number (SVTNN). The queueing model involves exponentially distributed service times, arrivals following a Poisson process, and the presence of only one server. To simplify the neutrosophic queueing model into a more straightforward form, the (α, β, γ)-cut approach along with Zadeh’s extension principle are employed, and the results are presented. Moreover, a concrete example is offered to elucidate the analytical methodology established within this study.