Priority algorithms for makespan minimization in the subset model

Research output: Contribution to journalArticlepeer-review

Abstract

We continue the recent study of priority algorithms initiated by Borodin et al. [Proc. 13th ACM-SIAM Symp. on Discrete Algorithms, 2002, pp. 752-761]. The definition of a priority algorithm nicely captures the idea of a "greedy-like" type algorithm. While priority algorithms are applicable to many optimization problems, in this paper we consider the problem of makespan minimization in scheduling in the subset model. We show that by using a fixed priority algorithm one cannot achieve a considerable improvement over the approximation ratio given by the online greedy algorithm. Namely, we present an Ω(logm/loglogm) lower bound on the approximation ratio of any fixed priority algorithm where m is the number of machines.

Original languageEnglish (US)
Pages (from-to)153-157
Number of pages5
JournalInformation Processing Letters
Volume84
Issue number3
DOIs
StatePublished - Nov 15 2002

Keywords

  • Approximation algorithms
  • Scheduling

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Signal Processing
  • Information Systems
  • Computer Science Applications

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