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- articleApril 2015
The stability of the deterministic Skorokhod problem is undecidable
Queueing Systems: Theory and Applications (QSYS), Volume 79, Issue 3-4Pages 221–249https://doi.org/10.1007/s11134-014-9424-8The Skorokhod problem arises in studying reflected Brownian motion (RBM) and the associated fluid model on the non-negative orthant. This problem specifically arises in the context of queueing networks in the heavy traffic regime. One of the key ...
- articleJune 2012
Multiclass multiserver queueing system in the Halfin---Whitt heavy traffic regime: asymptotics of the stationary distribution
Queueing Systems: Theory and Applications (QSYS), Volume 71, Issue 1-2Pages 25–51https://doi.org/10.1007/s11134-012-9294-xWe consider a heterogeneous queueing system consisting of one large pool of O ( r ) identical servers, where r is the scaling parameter. The arriving customers belong to one of several classes which determines the service times in the distributional ...
