Optimization of M/M/s/N Queueing Model with Reneging in a Fuzzy Environment

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.

A Review of Vacation Queueing Models in Different Framework

“…Tian [132] studied the socially optimal strategies and optimal pricing strategies in unobservable ‫1/ܯ/ܯ‬ queue with delayed multiple vacations. Very recently, Panta et al [107] dealt with the optimization of M/M/s/N queueing model with reneging in a fuzzy environment and they obtained the various performance measures of the system.…”