English

Preemptive Scheduling of Equal-Length Jobs to Maximize Weighted Throughput

Data Structures and Algorithms 2007-05-23 v2

Abstract

We study the problem of computing a preemptive schedule of equal-length jobs with given release times, deadlines and weights. Our goal is to maximize the weighted throughput, which is the total weight of completed jobs. In Graham's notation this problem is described as (1 | r_j;p_j=p;pmtn | sum w_j U_j). We provide an O(n^4)-time algorithm for this problem, improving the previous bound of O(n^{10}) by Baptiste.

Keywords

Cite

@article{arxiv.cs/0209033,
  title  = {Preemptive Scheduling of Equal-Length Jobs to Maximize Weighted Throughput},
  author = {Philippe Baptiste and Marek Chrobak and Christoph Durr and Wojciech Jawor and Nodari Vakhania},
  journal= {arXiv preprint arXiv:cs/0209033},
  year   = {2007}
}

Comments

gained one author and lost one degree in the complexity

R2 v1 2026-07-22T12:20:18.452Z