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math.PR2024
Explicit Steady-State Approximations for Parallel Server Systems with Heterogeneous Servers
Yaosheng Xu
We study the steady-state performance of parallel-server systems under an immediate routing architecture with two sources of heterogeneity: servers and job classes, subject to comp…
math.PR2024
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.PR2023
Asymptotic product-form steady-state for generalized Jackson networks in multi-scale heavy traffic
J. G. Dai, Peter Glynn, Yaosheng Xu
We prove that under a multi-scale heavy traffic condition, the stationary distribution of the scaled queue length vector process in any generalized Jackson network has a product-fo…