Author(s)

Ananda Prasad Panta^1*, Ram Prasad Ghimire², Dinesh Panthi³, Shankar Raj Pant⁴

¹Department of Mathematics, Tri-Chandra Campus, Tribhuvan University, Kathmandu, Nepal.
²Department of Mathematics, Kathmandu University, Kavre, Nepal.
³Department of Mathematics, Valmeeki Campus, Nepal Sanskrit University, Kathmandu, Nepal.
⁴Central Department of Mathematics, Tribhuvan University, Kirtipur, Nepal.

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.

Fuzzy Environment, Poisson, Optimal, Reneging

Panta, A. , Ghimire, R. , Panthi, D. and Pant, S. (2021) Optimization of M/M/s/N Queueing Model with Reneging in a Fuzzy Environment. American Journal of Operations Research, 11, 121-140. doi: 10.4236/ajor.2021.113008.