Analysis and simulation of fuzzy queues

A bulk arrival queueing model with fuzzy parameters and varying batch sizes

“…A straightforward idea is to apply their method to the fuzzy bulk arrival queueing problem. However, Negi and Lee [13] commented that their approach is so complicated that generally unsuitable for computational purposes; it can hardly derive analytical results for other more complicated queueing systems [19]. Consequently, it is very difficult and unsuitable to apply Li and LeeÕs approach to fuzzy bulk arrival queues.…”

“…Thus, fuzzy queues are much more realistic than the commonly used crisp queues [8][9][10]. Several researchers have discussed fuzzy queueing systems, e.g., [8][9][10][11][12][13][14]; however, few articles have been published on the fuzzy bulk arrival queue with varying batch size. If the usual crisp bulk arrival queues can be extended to fuzzy bulk arrival queues, bulk arrival queueing models would have wider applications.…”

Optimality Analysis in K-Policy – Generalized Erlang Service Queueing Model

“…The arrival and service rate can also be represented by different levels of confidence intervals [14,19].consequently, FM/FE k /1 can be reduced to a family of crisp M/E k /1 queues with different  -level…”

A Study on Multi Server Fuzzy Queuing Model in Triangular and Trapezoidal Fuzzy Numbers Using Alpha Cuts

“…Fuzzy queuing model was first introduced by R.J.Lie and E.S.Lee in 1989 further developed this model by many authors J.J.Buckely [4] in 1990, R.S.Negi and E.S.Lee [5] in 1992, S.P.Chen in 2005 and R.Srinivasan [11] in 2014. Here the parameters fuzzy arrival rate and fuzzy service rate are best described by linguistic terms very high, high, low, very low and moderate.…”