English

Statistical analysis of single-server loss queueing systems

Statistics Theory 2021-06-30 v6 Probability Statistics Theory

Abstract

In this article statistical bounds for certain output characteristics of the M/GI/1/nM/GI/1/n and GI/M/1/nGI/M/1/n loss queueing systems are derived on the basis of large samples of an input characteristic of these systems, such as service time in the M/GI/1/nM/GI/1/n queueing system or interarrival time in the GI/M/1/nGI/M/1/n queueing system. The analysis of this article is based on application of Kolmogorov's statistics for empirical probability distribution functions.

Keywords

Cite

@article{arxiv.0904.2426,
  title  = {Statistical analysis of single-server loss queueing systems},
  author = {Vyacheslav M. Abramov},
  journal= {arXiv preprint arXiv:0904.2426},
  year   = {2021}
}

Comments

This is the version of the paper that addresses the reviewer's report. A software for this paper (executable file) can be found in my homepage

R2 v1 2026-06-21T12:51:57.674Z