The slow server problem for uninformed customers
In this paper, we analyze systems that can be modelled by M \ M \ n queues with heterogeneous servers and non informed customers. We solve the balance equations. We present a threshold result for a system with an arbitrary number n of servers, i.e. we show that there is a value of arrival rate below which the slow server should not be used and above which it should be used. The structure of the slow server problem for uninformed costumers is investigated. Results for homogeneous systems are also provided in order to add insight into the structure of the problem.
slow server queues heterogeneous servers multiserver queues markovian processes threshold policy