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math.PR2017
A Bitcoin-inspired infinite-server model with a random fluid limit
Maria Frolkova, Michel Mandjes
The synchronization process inherent to the Bitcoin network gives rise to an infinite-server model with the unusual feature that customers interact. Among the closed-form character…
math.PR2016
Fluid Limit of a PS-queue with Multistage Service
Maria Remerova, Bert Zwart
The PS-model treated in this paper is motivated by freelance job websites where multiple freelancers compete for a single job. In the context of such websites, multistage service o…
math.PR2011★ 1 cited
Fluid Limits for an ALOHA-type Model with Impatient Customers
Maria Frolkova, Sergey Foss, Bert Zwart
Random multiple-access protocols of type ALOHA are used to regulate networks with a star configuration where client nodes talk to the hub node at the same frequency (finding a wide…