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20042007
most citedCompetition interfaces and second class particles

75 citations

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math.PR2007★ 12 cited

A MARKOV chain model of a polling system with parameter regeneration

Iain MacPhee, Mikhail Menshikov, Dimitri Petritis +1

We study a model of a polling system, that is, a collection of queues with a single server that switches from queue to queue. The service time distribution and arrival rates ch…

math.PR2004★ 75 cited

Competition interfaces and second class particles

Pablo A. Ferrari, Leandro P. R. Pimentel

The one-dimensional nearest-neighbor totally asymmetric simple exclusion process can be constructed in the same space as a last-passage percolation model in Z^2. We show that the t…