Two-Server Markovian Queues with Balking: Heterogeneous vs. Homogeneous Servers

This paper analyses a Markovian queuing system with balking and two heterogeneous servers determines the capacity of the slower server and obtains the optimal service rates that minimize the average characteristics of the heterogeneous system. The heterogeneous system is compared with a corresponding homogeneous system and a condition showing the efficiency of the heterogeneous system is obtained, this condition involving only the traffic intensity and the service rates. A cost model is discussed and various tables and graphs representing the average characteristics of both the systems are given.