An Analytical Study Of The M/M/1/N Imprecise Queuing System With Encouraged Arrivals

Document Type : Primary Research paper


Department of Mathematics, Holy Cross College (Autonomous),Affiliated to Bharathidasan University,Tiruchirappalli – 620 002.Tamil Nadu, India


We propose a single-server Markovian fuzzy queuing system with encouraged arrivals in this article. Recursive steady-state solutions are used to solve the model. Performance measures are drawn up as needed. By constructing a cost model, an economic study of the model is presented. The model is numerically examined and randomly simulated. The term “encouraged arrivals” was formulated to describe the situation that a system faces when firms make deals and discounts. An encouraged arrival is a modern concept in queuing theory that adds to current customer behaviour.