Markovian Queues with Three Heterogeneous Servers1

In this article a Markovian queueing system with three heterogeneous servers is considered. The system is such that the first server works faster than the second, and the second works faster than the third. This heterogeneous system is compared to the corresponding homogeneous system, and conditions showing its efficiency are obtained. The problem of obtaining the best service rates, which minimize the average characteristics of the heterogeneous system, is investigated numerically. Tables representing the sequences of the best service rates, and the average characteristics of both the heterogeneous and the homogeneous systems are given.