Analysis of a markovian queue with two heterogenous servers and a threshold assignment policy

This paper considers a parallel queuing system with two heterogeneous servers where the task is dispatched to the two servers. The threshold assignment policy dispatches the tasks according to the number of customers in server 1. Firstly, we obtain the stationary condition of the system. Secondly, we give the stationary performance indices by using a matrix-geometric solution theory. Finally, we develop the average cost function and analyze the effect of the parameters on the average cost function by using numerical examples.