A Finite Capacity Single Server Queuing System with Encouraged Arrivals and Reverse Reneging with Controllable Arrival Rates

Abstract

In this paper, a finite capacity queueing model, encouraged arrivals, and reverse reneging customers with controllable arrival rates are considered. The term encouraged arrivals emerged from the situation that a system experiences after the release of offers and discounts by firms. Encouraged arrivals are a new addition to existing customer behaviour in queuing theory. The steady state solutions of system size are derived explicitly. The analytical results are numerically illustrated and relevant conclusions are presented.