English

A Fluid Limit for Processor-Sharing Queues Weighted by Functions of Remaining Amounts of Service

Probability 2019-11-27 v1

Abstract

We study a single server queue under a processor-sharing type of scheduling policy, where the weights for determining the sharing are given by functions of each job's remaining service(processing) amount, and obtain a fluid limit for the scaled measure-valued system descriptors.

Keywords

Cite

@article{arxiv.1911.11332,
  title  = {A Fluid Limit for Processor-Sharing Queues Weighted by Functions of Remaining Amounts of Service},
  author = {Yingdong Lu},
  journal= {arXiv preprint arXiv:1911.11332},
  year   = {2019}
}