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math.PR2020
On system-wide safety staffing of large-scale parallel server networks
Hassan Hmedi, Ari Arapostathis, Guodong Pang
We introduce a "system-wide safety staffing" (SWSS) parameter for multiclass multi-pool networks of any tree topology, Markovian or non-Markovian, in the Halfin-Whitt regime. This…
math.PR2019★ 5 cited
Uniform polynomial rates of convergence for a class of Lévy-driven controlled SDEs arising in multiclass many-server queues
Ari Arapostathis, Hassan Hmedi, Guodong Pang +1
We study the ergodic properties of a class of controlled stochastic differential equations (SDEs) driven by -stable processes which arise as the limiting equations of multiclass…