English

Achievable Performance of Blind Policies in Heavy Traffic

Probability 2017-02-06 v3 Data Structures and Algorithms

Abstract

For a GI/GI/1 queue, we show that the average sojourn time under the (blind) Randomized Multilevel Feedback algorithm is no worse than that under the Shortest Remaining Processing Time algorithm times a logarithmic function of the system load. Moreover, it is verified that this bound is tight in heavy traffic, up to a constant multiplicative factor. We obtain this result by combining techniques from two disparate areas: competitive analysis and applied probability.

Keywords

Cite

@article{arxiv.1512.07771,
  title  = {Achievable Performance of Blind Policies in Heavy Traffic},
  author = {Nikhil Bansal and Bart Kamphorst and Bert Zwart},
  journal= {arXiv preprint arXiv:1512.07771},
  year   = {2017}
}