English

M/D/1 Queues with LIFO and SIRO Policies

Probability 2022-10-19 v3 Discrete Mathematics History and Overview

Abstract

While symbolics for the equilibrium M/D/1-LIFO waiting time density are completely known, corresponding numerics for M/D/1-SIRO are derived from recursions due to Burke (1959). Implementing an inverse Laplace transform-based approach for the latter remains unworkable.

Keywords

Cite

@article{arxiv.2208.09980,
  title  = {M/D/1 Queues with LIFO and SIRO Policies},
  author = {Steven Finch},
  journal= {arXiv preprint arXiv:2208.09980},
  year   = {2022}
}

Comments

12 pages; 2 figures; typo fixed in third equation on second page