A computational study of the local cuts from two-period convex hull closures for big-bucket lot-sizing problems

Fragkos, Ioannis and Akartunali, Kerem (2014) A computational study of the local cuts from two-period convex hull closures for big-bucket lot-sizing problems. In: International Workshop on Lot-Sizing (IWLS) 2014, 2014-08-27 - 2014-08-29.

[thumbnail of Fragkos-Akartunali-IWLS2014-two-period-convex-hull-closures-big-bucket-lot-sizing]
Preview
 PDF. Filename: Fragkos_Akartunali_IWLS2014_two_period_convex_hull_closures_big_bucket_lot_sizing.pdf
Accepted Author Manuscript
Download (64kB)| Preview

Abstract

We study the big-bucket capacitated lot sizing problem with setup times. We use the novel methodology of Akartunali et al. (2014) that exploits two-period relaxations of the formulation in order to generate inequalities that cut-off the optimal solution of the linear programming relaxation. Our approach applies column generation in an unconventional way, with the master problem being a distance minimizing formulation and the subproblems being combina-torial two-period relaxations of the original problem. We identify a lower bound of the dimensionality of the generated cuts and provide extensive computational experiments that show how the generated bounds compare with other state-of- the-art approaches. Our results show that, for certain classes of problems, the bound improvement is considerable.

ORCID iDs

Fragkos, Ioannis and Akartunali, Kerem ORCID logoORCID: https://orcid.org/0000-0003-0169-3833;
  • Item type:Conference or Workshop Item(Paper)
    ID code:51975
    Dates:
    Date
    Event
    August 2014
    Published
    Keywords:convex hull closures, lot-sizing problems, two-period relaxations, Manufactures, Industrial and Manufacturing Engineering, Control and Optimization
    Subjects:Technology > Manufactures
    Department:Strathclyde Business School > Management Science
    Depositing user: Pure Administrator
    Date deposited:27 Feb 2015 10:18
    Last modified:18 Jan 2023 13:16
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/51975
CORE (COnnecting REpositories)