English

First exit time for a discrete time parallel queue

Probability 2022-02-18 v1

Abstract

We consider a discrete time parallel queue, which is two-queue network, where at each time-slot there is a the same batch arrival to both queues and at each queue there is a random service available. The service law at each time-slot for each queue is different. Let (Qn1,Qn2)(Q_n^1, Q_n^2) be the queue length at nnth time-slot. We present several open questions related to the steady-state of this queue.

Keywords

Cite

@article{arxiv.2202.08343,
  title  = {First exit time for a discrete time parallel queue},
  author = {Zbigniew Palmowski},
  journal= {arXiv preprint arXiv:2202.08343},
  year   = {2022}
}
R2 v1 2026-06-24T09:41:44.561Z