Queues on a Dynamically Evolving Graph
@article{Mandjes2017QueuesOA, title={Queues on a Dynamically Evolving Graph}, author={Michel Mandjes and Nicos J. Starreveld and Ren{\'e} Bekker}, journal={Journal of Statistical Physics}, year={2017}, volume={173}, pages={1124 - 1148} }
This paper considers a population process on a dynamically evolving graph, which can be alternatively interpreted as a queueing network. The queues are of infinite-server type, entailing that at each node all customers present are served in parallel. The links that connect the queues have the special feature that they are unreliable, in the sense that their status alternates between ‘up’ and ‘down’. If a link between two nodes is down, with a fixed probability each of the clients attempting to…
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