English

Finite customer-pool queues

Probability 2025-02-25 v2

Abstract

In this paper we consider an M/G/1-type queue fed by a finite customer-pool. In terms of transforms, we characterize the time-dependent distribution of the number of customers and the workload, as well as the associated waiting times.

Keywords

Cite

@article{arxiv.2410.06890,
  title  = {Finite customer-pool queues},
  author = {Onno Boxma and Offer Kella and Michel Mandjes},
  journal= {arXiv preprint arXiv:2410.06890},
  year   = {2025}
}
R2 v1 2026-06-28T19:14:25.208Z