A simple proof of the optimality of a threshold policy in a two-server queueing system
Systems & Control Letters
Fair Dynamic Routing in Large-Scale Heterogeneous-Server Systems
Operations Research
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In this paper, we analyze systems that can be modelled by M 驴 M 驴 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.