TITLE:
Optimization of M/M/s/N Queueing Model with Reneging in a Fuzzy Environment
AUTHORS:
Ananda Prasad Panta, Ram Prasad Ghimire, Dinesh Panthi, Shankar Raj Pant
KEYWORDS:
Fuzzy Environment, Poisson, Optimal, Reneging
JOURNAL NAME:
American Journal of Operations Research,
Vol.11 No.3,
May
12,
2021
ABSTRACT: This paper deals with the study of multi-server queueing model in a fuzzy
environment with imposition of reneging of customers. Entry of the customers in
the system is assumed to be Poisson process and exponential service time distribution
under first-come-first-served basis. Specific of this investigation is to derive the
various fuzzy performance measures such as fuzzy queue length, fuzzy waiting
time in queue, fuzzy response time and fuzzy optimal number of servers in
explicit form for the finite capacity multi-server queueing system by using
recursive method. For the validity of the model we have obtained the numerical
illustrations in tabular form which shows that fuzzy-queue can be more
realistic than crisp queue.