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math.PR2019
Exponential ergodicity and steady-state approximations for a class of Markov processes under fast regime switching
Ari Arapostathis, Guodong Pang, Yi Zheng
We study ergodic properties of a class of Markov-modulated general birth-death processes under fast regime switching. The first set of results concerns the ergodic properties of th…
math.PR2018
Optimal control of Markov-modulated multiclass many-server queues
Ari Arapostathis, Anirban Das, Guodong Pang +1
We study multiclass many-server queues for which the arrival, service and abandonment rates are all modulated by a common finite-state Markov process. We assume that the system ope…