A Note on Efficient Sequences with Respect to Total Flow Time and Number of Tardy Jobs

Güngör M.

NAVAL RESEARCH LOGISTICS, vol.63, pp.346-348, 2016 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 63
  • Publication Date: 2016
  • Doi Number: 10.1002/nav.21694
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.346-348


For the single-machine scheduling problem with the objective of simultaneously minimizing total flowtime and number of tardy jobs, a lower bound on the number of efficient sequences is known. However, the proof thereof, which makes use of a modified version of Smith's algorithm, is unduly lengthy and sophisticated. Adopting a totally new point of view, we present in this short article a much simpler proof based on the naive idea of pairwise interchange.