Performance Analysis of Biserial Servers Connected with a Main Server by Fuzzy Ordering Approach

Abstract

This article presents some appraises for biserial servers connected with a main server by fuzzy ordering approach. Here we have three servers, so that three queues are formed in front of the servers. The patrons were presented along with poisson stream to the queues, and the rate of service was observed by exponential stream. The customers may get the services either from server 1(or 2), to server 2 (or 1), (biserial) then Main server or from the servers 1 or 2 to (biserial) Main server. So we get more possibilities from this situation. We consider the arrival, service and possibility rates as the fuzzy parameters. By virtue of our proposed ordering approach, we shift the fuzzy rates to crisp numerals. We detect the measures expected waiting duration in the system (E(W)) and the expected aggregate of customers in the system (E(N)) of biserial servers connected with a main server with fuzzy nature.