FUZZY QUEUES ANALYSIS

Abstract

The main aim of this research paper is to illustrate the general approach which can be followed for the queuing systems in a fuzzy environment. The approach that has been presented in this research study is based on the Zadeh’s extension principle, the concept of possibility and the Fuzzy Markov chains. In this research study the analysis of the M/F/1 and the FM/FM/1 systems are carried out and the findings are presented. The queue M/F/1 basically denotes a queue that have exponential interarrival time and which have fuzzy service rate. On the other hand the queue FM/FM/1 can be described as queue whose exponential interarrival time is fuzzified along with its service rate. In the practical applications it has been found that the Fuzzy queues are more relevant that the crisp queues. This research study will also provide a numerical example so as to illustrate the approach in a better manner. In order to establish the validity of the approach that has been taken up by the researcher a numerical problem along with its solution has been presented. Though in this research study the researcher has only investigated the M/F/1 and FM/FM/1 queuing systems, but this approach can be utilized to investigate any other queuing system.