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math.PR2024
Rank-based stochastic differential inclusions and diffusion limits for a load balancing model
Rami Atar, Tomoyuki Ichiba
In an earlier paper, a randomized load balancing model was studied in a heavy traffic asymptotic regime where the load balancing stream is thin compared to the total arrival stream…
math.PR2024★ 1 cited
Invariance principle and McKean-Vlasov limit for randomized load balancing in heavy traffic
Rami Atar, Gershon Wolansky
We consider a load balancing model where a Poisson stream of jobs arrive at a system of many servers whose service time distribution possesses a finite second moment. A small fract…