This paper discusses random fuzzy queueing systems with finite capacity, where the interarrival times and service times are characterized as random fuzzy variables. Fuzzy simulation techniques are designed to estimate the membership degree, the expected value of system length, and the credibility measure that the system length does not exceed a predetermined level. Furthermore, the rough figures of the membership function and credibility distribution function of the system length can be obtained. Finally, an example is given to illustrate the effectiveness of the presented techniques.
Ning, Yufu and Zhao, Ruiqing, "Analysis on Random Fuzzy Queueing Systems with Finite Capacity" (2009). ICEB 2009 Proceedings. 142.