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Efficacy of an Encouraged Arrival M/M/1 Queueing System with Differentiated Dual Vacation, Balking, and Feedback Customers

  • Ismailkhan Enayathulla Khan,
  • R. Jeyachandhiran,
  • Paramasivam Rajendran

摘要

The efficacy of an encouraged arrival M/M/1 queueing system with differentiated dual vacation, balking, and feedback is analyzed in this study. Both service times and vacations are exponentially distributed with various mean rates. The steady-state solution is obtained by utilizing the recursive- technique. System performance metrics of the queueing model are derived. The impact of encouraged arrival in a cost-profit model is developed. Further, we show the efficacy of encouraged arrival through the simulation results.