Steady-State Convergence of the Continuous-Time JSQ System with General Distributions in Heavy Traffic

Author:

Dai J. G.1,Guang Jin2,Xu Yaosheng3

Affiliation:

1. Cornell University

2. The Chinese University of Hong Kong, Shenzhen

3. University of Chicago, Chicago, IL, USA

Abstract

This paper studies the continuous-time join-the-shortestqueue (JSQ) system with general interarrival and service distributions.

Publisher

Association for Computing Machinery (ACM)

Reference9 articles.

1. Stability of join the shortest queue networks

2. Heavy Traffic Approximation for the Stationary Distribution of a Generalized Jackson Network: The BAR Approach

3. A. Braverman, J. G. Dai, and M. Miyazawa. The BAR approach for multiclass queueing networks with SBP service policies. Stochastic Systems, 2024.

4. J. G. Dai, P. Glynn, and Y. Xu. Asymptotic product-form steady-state for generalized Jackson networks in multi-scale heavy traffic. arXiv preprint arXiv:2304.01499, 2023.

5. J. G. Dai, J. Guang, and Y. Xu. Steady-state convergence of the continuous-time JSQ system with general distributions in heavy traffic. arXiv preprint arXiv:2405.10876, 2024.

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