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19992018
most citedScheduling a multi class queue with many exponential servers: asymptotic optimality in heavy traffic

149 citations · 252 across the 6 of their papers we have counts for

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math.PR2005★ 18 cited

Queueing systems with many servers: Null controllability in heavy traffic

Rami Atar, Avi Mandelbaum, Gennady Shaikhet

A queueing model has heterogeneous service stations, each consisting of many independent servers with identical capabilities. Customers of classes can be served at…

math.PR2004★ 149 cited

Scheduling a multi class queue with many exponential servers: asymptotic optimality in heavy traffic

Rami Atar, Avi Mandelbaum, Martin I. Reiman

We consider the problem of scheduling a queueing system in which many statistically identical servers cater to several classes of impatient customers. Service times and impatience…

math.PR1999

Coalescence of skew Brownian motions

Martin Barlow, Krzysztof Burdzy, Haya Kaspi +1

We prove that two skew Brownian motions with the same skewness parameter (different from 0) and driven by the same Brownian motion coalesce a.s.