Semi-online hierarchical scheduling problems with buffer or rearrangements

Xin Chen, Zhenzhen Xu, György Dósa, Xin Han, He Jiang

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

In this paper, we consider semi-online hierarchical scheduling problems on two identical machines, with the purpose of minimizing the makespan. The first investigated problem is the buffer version, where a buffer of a fixed capacity K is available for storing at most K jobs. When the current job is given, we are allowed to assign it on some machine irrecoverably; or temporarily store it in the buffer. But in the latter case if the buffer was full then an earlier job is removed from the buffer and assigned it to some machine. The second one is a reassignment version, where when the input is end, we are allowed to reassign at most K jobs. For both versions, we show no online algorithm can have a competitive ratio less than 32, then propose two online algorithms with a competitive ratio 32 with K=1 for both versions of the problem, i.e., using only buffer of size one, or using only one rearrangement at the end.

Original languageEnglish
Pages (from-to)127-131
Number of pages5
JournalInformation Processing Letters
Volume113
Issue number4
DOIs
Publication statusPublished - Jan 15 2013

Keywords

  • Analysis of algorithms
  • Competitive ratio
  • Hierarchy
  • Semi-online scheduling

ASJC Scopus subject areas

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

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