A faster exact method for large-scale knapsack problems with setup costs and times

Tomiyasu Ichimura, Ryuichi Yokoyama, Hideki Magori

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

A class of 0-1 knapsack problems having both setup costs and setup times in the classified item groups is treated. This class emerged relatively newly among many variants of the knapsack problems, and its fast solution methods for the large-scale instances are not yet published to the authors' best knowledge. From this viewpoint, the authors have proposed an extended exact method to tackle the large-scale ones much faster than that of the latest published. The proposed method can solve the instances with 10,000 groups and 1,000,000 items in a few seconds at the best performance. Some computational results are also given.

Original languageEnglish
Pages (from-to)485-504
Number of pages20
JournalInternational Journal of Operational Research
Volume14
Issue number4
DOIs
Publication statusPublished - 2012 Jun

Keywords

  • 0-1 knapsack problem
  • Branch and bound
  • Heuristic
  • Large-scale
  • Pegging
  • Relaxation
  • Setup cost
  • Setup time

ASJC Scopus subject areas

  • Management Science and Operations Research

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