3 citations · 4 across the 7 of their papers we have counts for
5 papers · 1 filter
Functional Limits of Generalized Jackson Networks in Multi-scale Heavy Traffic
Zhen-Qing Chen, J. G. Dai, Jin Guang
We investigate the functional limits of generalized Jackson networks in a multi-scale heavy traffic regime where stations approach full utilization at distinct, separated rates. Ou…
Asymptotic Product-form Steady-state Distribution for Semimartingale Reflecting Brownian Motion in Multi-scaling Regime
Jin Guang, Xinyun Chen, J. G. Dai +1
Inspired by Dai et al. [2023], we develop a novel multi-scaling asymptotic regime for semimartingale reflecting Brownian motion (SRBM). In this regime, we establish the steady-stat…
Steady-State Convergence of the Continuous-Time Routing System with General Distributions in Heavy Traffic
Jin Guang, Yaosheng Xu, J. G. Dai
This paper examines a continuous-time routing system with general interarrival and service time distributions, operating under the join-the-shortest-queue and power-of-two-choices…
Uniform Moment Bounds for Generalized Jackson Networks in Multi-scale Heavy Traffic
Jin Guang, Xinyun Chen, J. G. Dai
We establish uniform moment bounds for steady-state queue lengths of generalized Jackson networks (GJNs) in multi-scale heavy traffic as recently proposed by Dai et al. [2023]. Uni…
Tail Quantile Estimation for Non-preemptive Priority Queues
Jin Guang, Guiyu Hong, Xinyun Chen +4
Motivated by applications in computing and telecommunication systems, we investigate the problem of estimating p-quantile of steady-state sojourn times in a single-server multi-cla…