English

On mean-field \(GI/GI/1\) queueing model: existence, uniqueness

Probability 2018-12-04 v3

Abstract

A mean-field extension of the queueing system GI/GI/1GI/GI/1 is considered. The process is constructed as a Markov solution of a martingale problem. Uniqueness in distribution is established under a bit different sets of assumptions on intensities.

Keywords

Cite

@article{arxiv.1804.07830,
  title  = {On mean-field \(GI/GI/1\) queueing model: existence, uniqueness},
  author = {Alexander Veretennikov},
  journal= {arXiv preprint arXiv:1804.07830},
  year   = {2018}
}

Comments

22 pages, 18 references (convergence section dropped, one new appendix added)

R2 v1 2026-06-23T01:30:37.246Z