English

Decomposition results for stochastic storage processes and queues with alternating L\'evy inputs

Probability 2017-11-22 v1

Abstract

In this paper we generalize known workload decomposition results for L\'{e}vy queues with secondary jump inputs and queues with server vacations or service interruptions. Special cases are polling systems with either compound Poisson or more general L\'{e}vy inputs. Our main tools are new martingale results, which have been derived in a companion paper.

Keywords

Cite

@article{arxiv.1210.2213,
  title  = {Decomposition results for stochastic storage processes and queues with alternating L\'evy inputs},
  author = {Onno Boxma and Offer Kella},
  journal= {arXiv preprint arXiv:1210.2213},
  year   = {2017}
}

Comments

16 pages. arXiv admin note: substantial text overlap with arXiv:1112.4756

R2 v1 2026-06-21T22:17:54.013Z