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20122021
most citedA Primal-Dual Approach to Constrained Markov Decision Processes

15 citations · 48 across the 14 of their papers we have counts for

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Showing math.PRShow all

11 papers · 1 filter

math.PR2021★ 2 cited

On the SRPT Scheduling Discipline in Many-Server Queues with Impatient Customers

Jing Dong, Rouba Ibrahim

The shortest-remaining-processing-time (SRPT) scheduling policy has been extensively studied, for more than 50 years, in single-server queues with infinitely patient jobs. Yet, muc…

math.PR2020

Existence and Approximations of Moments for Polling Systems under the Binomial-Exhaustive Policy

Yue Hu, Jing Dong, Ohad Perry

We establish sufficient conditions for the existence of moments of the steady-state queue in polling systems operating under the binomial-exhaustive policy (BEP). We assume that th…

math.PR2020

Spectral Gap of Replica Exchange Langevin Diffusion on Mixture Distributions

Jing Dong, Xin T. Tong

Langevin diffusion (LD) is one of the main workhorses for sampling problems. However, its convergence rate can be significantly reduced if the target distribution is a mixture of m…

math.PR2020★ 1 cited

Asymptotic Optimality of the Binomial-Exhaustive Policy for Polling Systems with Large Switchover Times

Yue Hu, Jing Dong, Ohad Perry

We study an optimal-control problem of polling systems with large switchover times, when a holding cost is incurred on the queues. In particular, we consider a stochastic network w…

math.PR2019★ 1 cited

-Strong Simulation of Fractional Brownian Motion and Related Stochastic Differential Equations

Yi Chen, Jing Dong, Hao Ni

Consider the fractional Brownian Motion (fBM) with Hurst index . We construct a probability space supporting both and a fully simul…

math.PR2017

Three Asymptotic Regimes for Ranking and Selection with General Sample Distributions

Jing Dong, Yi Zhu

In this paper, we study three asymptotic regimes that can be applied to ranking and selection (R&S) problems with general sample distributions. These asymptotic regimes are constru…

math.PR2016

Exact Sampling of the Infinite Horizon Maximum of a Random Walk Over a Non-linear Boundary

Jose Blanchet, Jing Dong, Zhipeng Liu

We present the first algorithm that samples where is a mean zero random walk, and with defines a nonliner boundary. We show…

math.PR2015★ 5 cited

Perfect Sampling of GI/GI/c Queues

Jose Blanchet, Jing Dong, Yanan Pei

We introduce the first class of perfect sampling algorithms for the steady-state distribution of multi-server queues with general interarrival time and service time distributions.…

math.PR2014★ 5 cited

-Strong Simulation for Multidimensional Stochastic Differential Equations via Rough Path Analysis

Jose Blanchet, Xinyun Chen, Jing Dong

Consider a multidimensional diffusion process . Let be a \textit{deterministic}, user defined, tolerance error parameter. Un…

math.PR2013

Perfect sampling for infinite server and loss systems

Jose Blanchet, Jing Dong

We present the first class of perfect sampling (also known as exact simulation) algorithms for the steady-state distribution of non-Markovian loss networks. We use a variation of D…

math.PR2012★ 5 cited

Sampling Point Processes on Stable Unbounded Regions and Exam Simulation of Queues

Jose Blanchet, Jing Dong

Given a marked renewal point process (assuming that the marks are i.i.d.) we say that an unbounded region is stable if it contains finitely many points of the point process with pr…