8 citations · 10 across the 8 of their papers we have counts for
10 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…
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…
The BAR approach for multiclass queueing networks with SBP service policies
Anton Braverman, J. G. Dai, Masakiyo Miyazawa
The basic adjoint relationship (BAR) approach is an analysis technique based on the stationary equation of a Markov process. This approach was introduced to study heavy-traffic, st…
Stein's method for steady-state diffusion approximations: an introduction through the Erlang-A and Erlang-C models
Anton Braverman, J. G. Dai, Jiekun Feng
This paper provides an introduction to the Stein method framework in the context of steady-state diffusion approximations. The framework consists of three components: the Poisson e…
Heavy traffic approximation for the stationary distribution of a generalized Jackson network: the BAR approach
Anton Braverman, J. G. Dai, Masakiyo Miyazawa
In the seminal paper of Gamarnik and Zeevi (2006), the authors justify the steady-state diffusion approximation of a generalized Jackson network (GJN) in heavy traffic. Their appro…
Hydrodynamic limit of order book dynamics
Xuefeng Gao, S. J. Deng
In this paper, we establish a fluid limit for a two--sided Markov order book model. Our main result states that in a certain asymptotic regime, a pair of measure-valued processes r…
Many-server queues with customer abandonment: numerical analysis of their diffusion models
Shuangchi He, J. G. Dai
We use multidimensional diffusion processes to approximate the dynamics of a queue served by many parallel servers. The queue is served in the first-in-first-out (FIFO) order and t…