SINGLE SERVER INTERDEPENDENT QUEUEING MODEL WITH CONTROLLABLE ARRIVAL RATES AND RENEGING

This investigation deals with single server markovian queueing model with controllable arrival rates with discouragement factor reneging, in which it is assumed that the arrival and service processes are interdependent. The stationary state solutions of the model are analysed. The expressions for system characteristics as average number of customers in the system and average waiting time are determined. The numerical illustrations are also considered to validate the analytical results and to illustrate the effect of the parameters on several performance characteristics.