English

If others jump to the queue front, how long I will wait?

Physics and Society 2023-07-19 v2

Abstract

Two models of a queue are proposed: a human queue and two lines of vehicles before a narrowing. In both models, a queuer tries to evaluate his waiting time, taking into account the delay caused by intruders who jump to the queue front. As the collected statistics of such events is very limited, the evaluation can give very long times. The results provide an example, when direct observations should be supplemented by an inference from the context.

Keywords

Cite

@article{arxiv.1407.1491,
  title  = {If others jump to the queue front, how long I will wait?},
  author = {M. J. Krawczyk and P. Gronek and M. Nawojczyk and K. Kulakowski},
  journal= {arXiv preprint arXiv:1407.1491},
  year   = {2023}
}

Comments

4 pages, 3 figures

R2 v1 2026-06-22T04:56:16.710Z