English

Data Structure for a Time-Based Bandwidth Reservations Problem

Data Structures and Algorithms 2007-05-23 v1 Networking and Internet Architecture

Abstract

We discuss a problem of handling resource reservations. The resource can be reserved for some time, it can be freed or it can be queried what is the largest amount of reserved resource during a time interval. We show that the problem has a lower bound of Ω(logn)\Omega(\log n) per operation on average and we give a matching upper bound algorithm. Our solution also solves a dynamic version of the related problems of a prefix sum and a partial sum.

Keywords

Cite

@article{arxiv.cs/0302009,
  title  = {Data Structure for a Time-Based Bandwidth Reservations Problem},
  author = {Andrej Brodnik and Andreas Nilsson},
  journal= {arXiv preprint arXiv:cs/0302009},
  year   = {2007}
}