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math.PR2024★ 1 cited
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…
math.PR2024★ 3 cited
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…