Algorithms and Complexity Analysis for Robust Single-Machine Scheduling Problems

Bita Tadayon, J. Cole Smith

Research output: Contribution to journalArticle

12 Scopus citations

Abstract

In this paper, we study a robust single-machine scheduling problem under four alternative optimization criteria: minimizing total completion time, minimizing total weighted completion time, minimizing maximum lateness, and minimizing the number of late jobs. We assume that job processing times are subject to uncertainty. Accordingly, we construct three alternative uncertainty sets, each of which defines job processing times that can simultaneously occur. The robust optimization framework assumes that, given a job schedule, a worst-case set of processing times will be realized from among those allowed by the uncertainty set under consideration. For each combination of objective function and uncertainty set, we first analyze the problem of identifying a set of worst-case processing times with respect to a fixed schedule, and then investigate the problem of selecting a schedule whose worst-case objective is minimal.

Original languageEnglish (US)
Pages (from-to)575-592
Number of pages18
JournalJournal of Scheduling
Volume18
Issue number6
DOIs
StatePublished - Dec 1 2015
Externally publishedYes

Keywords

  • Complexity
  • Dynamic programming
  • Integer programming
  • Robust optimization

ASJC Scopus subject areas

  • Software
  • Engineering(all)
  • Management Science and Operations Research
  • Artificial Intelligence

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