160 citations · 298 across the 36 of their papers we have counts for
7 papers · 1 filter
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…
Optimal scheduling of critically loaded multiclass GI/M/n+M queues in an alternating renewal environment
Ari Arapostathis, Guodong Pang, Yi Zheng
In this paper, we study optimal control problems for multiclass GI/M/n+M queues in an alternating renewal (up-down) random environment in the Halfin-Whitt regime. Assuming that the…
Ergodic control of diffusions with compound Poisson jumps under a general structural hypothesis
Ari Arapostathis, Guodong Pang, Yi Zheng
We study the ergodic control problem for a class of controlled jump diffusions driven by a compound Poisson process. This extends the results of [SIAM J. Control Optim. 57 (2019),…
Subexponential upper and lower bounds in Wasserstein distance for Markov processes
Ari Arapostathis, Guodong Pang, Nikola Sandrić
In this article, relying on Foster-Lyapunov drift conditions, we establish subexponential upper and lower bounds on the rate of convergence in the -Wasserstein distan…
Uniform stability of some large-scale parallel server networks
Hassan Hmedi, Ari Arapostathis, Guodong Pang
In this paper we study the uniform stability properties of two classes of parallel server networks with multiple classes of jobs and multiple server pools of a tree topology. These…
Stationary Distributions and Convergence for M/M/1 Queues in Interactive Random Environment
Yana Belopolskaya, Guodong Pang, Andrey Sarantsev +1
A Markovian single-server queue is studied in an interactive random environment. The arrival and service rates of the queue depend on the environment, while the transition dynamics…