Minimizing the maximum starting time on-line

Leah Epstein, Rob Van Stee

Research output: Contribution to journalArticlepeer-review


We study the scheduling problem of minimizing the maximum starting time on-line. The goal is to minimize the last time that a job starts. We show that while the greedy algorithm has a competitive ratio of Θ(log m), we can give a constant competitive algorithm for this problem. We also show that the greedy algorithm is optimal for resource augmentation in the sense that it requires 2m - 1 machines to have a competitive ratio of 1, whereas no algorithm can achieve this with 2m - 2 machines.

Original languageEnglish
Pages (from-to)53-65
Number of pages13
JournalInformation and Computation
Issue number1-2
StatePublished - 15 Dec 2004
Externally publishedYes

Bibliographical note

Funding Information:
A preliminary version of this paper appeared in Proceedings of the 10th European Symposium on Algorithms (ESA 2002), p. 449–460. ∗ Corresponding author. Fax: +31 20 592 4199. E-mail addresses: (L. Epstein), (R. van Stee). 1 This research was supported by Israel Science Foundation (Grant No. 250/01). 2 This research was supported by the Netherlands Organization for Scientific Research (NWO), Project No. SION 612-061-000.

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Information Systems
  • Computer Science Applications
  • Computational Theory and Mathematics


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