Comparison on queuing performance measures of multi-server traditional model and fuzzy queuing model

Abstract

In providing service or products to people, queuing system could influence the customer’s satisfaction. However, queuing system used in most organization unable to explain linguistic terms existed in nature of arrival rate and service rate. Therefore, fuzzy is used as it can be best in describing the linguistic variables. In this study, calculation and comparison on queuing performance measures for multi-server traditional and fuzzy queuing model are carried out. Queuing performance measures involve in this study are average number of customers in the queue (Lq), average number of customers in the system (L), average waiting time of a customer in the queue (Wq) and average waiting time of customer in the system (W). Dong, Shah & Wong (DSW) algorithm is used to define the membership function of performance measures in fuzzy queuing model. The results show that the performance measures of traditional queuing model give a single value while for fuzzy queuing model in range of values. The performance measures of traditional queuing model obtained lie in the range of performance measures of fuzzy queuing model computed. Hence, the results obtained are consistent.