We consider overload of servers in a network with dynamic routing of messages. The system consists of k servers and ℓ independent Poisson input flows. Messages from each flow are directed to m servers, and each message is directed to a server that is the least loaded at the moment of its arrival. In such a system, configuration of overloaded servers depends on the intensity of input flows. A similar effect was considered in  for a system with another geometry.
Problems of Information Transmission – Springer Journals
Published: Oct 11, 2011
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