Queuing theory is a classical mathematical
method to analyze the congestions and delays of waiting
in line. It deals with number of customers waiting in line
and many other aspects of queues. Our objective of the
study has to develop a new fuzzy queuing model. The
study intends to examine the long-run behavior and
determination of the steadiness of queuing system. For
this purpose the Buckley method has been applied. In this
study Buckley method has extended using the trapezoidal
shaped fuzzy numbers which are introduced to find the
explicit formula for membership function of the fuzzy
estimation to develop a new fuzzy queuing model. Fuzzy
approach has been applied for measuring different
linguistic factors in queuing systems. The results
concluded that fuzzy queueing model is stable and bounds
obtained by Buckley estimates are at least good as
compare to bounds obtained by membership function.
Keywords :
Fuzzy Queuing, Steady State, Trapezoidal Technique.