Abstract
This article provides an effective method to analyze the performance measures of non-preemptive fuzzy priority queues with unequal service rates. Here the arrival rate and the service rate are in fuzzy numbers. Using a new ranking method, the fuzzy values are reduced to the crisp values. For that cause, both the Triangular Fuzzy Number (TFN) and Trapezoidal Fuzzy Number (TpFN) are chosen to establish the proposal's effectiveness. An illustration is given to find the efficiency of the performance measures of the fuzzy queuing model.
Highlights
Nowadays, the concept of Queuing theory has pervasive applications in the real-time hypothesis
2.2 Crisp Set For any crisp set F, it is defined as the characteristic function μF → { 0,1 }, i.e., the characteristic function takes either of the value 0 or 1 in the classical set
Let us assume a critical situation happens in Prabhu Medical Clinic in Chennai, where some outpatients have arrived in need of medical treatment as a matter of urgency
Summary
The concept of Queuing theory has pervasive applications in the real-time hypothesis. The Priority Queues has a wide range of applications like communication networks, transport sector, healthcare management, etc. The concept of Fuzzy Queues is extensively debated. Li and Lee (1989), Negi and Lee (1992), Kao and Wilson (1999), Chen (2005, 2006) are some of the researchers who developed the concept of Fuzzy Queues.
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