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

作     者：Ananda Prasad Panta Ram Prasad Ghimire Dinesh Panthi Shankar Raj Pant Ananda Prasad Panta;Ram Prasad Ghimire;Dinesh Panthi;Shankar Raj Pant

作者机构：Department of Mathematics Tri-Chandra Campus Tribhuvan University Kathmandu Nepal Department of Mathematics Kathmandu University Kavre Nepal Department of Mathematics Valmeeki Campus Nepal Sanskrit University Kathmandu Nepal Central Department of Mathematics Tribhuvan University Kirtipur Nepal 

出 版 物：《American Journal of Operations Research》 (美国运筹学期刊（英文）)

年 卷 期：2021年第11卷第3期

页      面：121-140页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Fuzzy Environment Poisson Optimal Reneging 

摘      要：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.