The M/M/1/N Queuing System with Controllable and Encouraged Arrival Rates

In this paper, an M/M/1/N a single server finite capacity Markovian queuing model, encouraged arrivals with controllable arrival rate is considered. The term encouraged arrivals emerged from situation that a system experiences after release of offers and discounts by firms. Encouraged arrival is 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.