4 papers
Diffusion-Based Policies for Dynamic Control of Stochastic Processing Networks
Baris Ata, Jin Guang, J. Michael Harrison +1
We consider a processing network model with job classes or buffers, exogenous input flows into some classes, processing activities, and servers. Each activity is either…
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…