4 papers
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…
Throughput-Optimal Scheduling Algorithms for LLM Inference and AI Agents
J. G. Dai, Tianze Deng, Yueying Li +1
As demand for Large Language Models (LLMs) and AI agents grows rapidly, optimizing systems for efficient LLM inference becomes critical. While significant efforts have targeted sys…
Tight matrices and heavy traffic steady state convergence in queueing networks
J. G. Dai, Yiquan Ji, Masakiyo Miyazawa
We are interested to prove that the stationary distribution of a multiclass queueing network converges to the stationary distribution of a semimartingale reflecting Brownian motion…
Asymptotic Product-form Steady-state for Multiclass Queueing Networks with SBP Service Policies in Multi-scale Heavy Traffic
J. G. Dai, Dongyan Huo
In this work, we study the stationary distribution of the scaled queue length vector process in multiclass queueing networks operating under static buffer priority service policies…