One-dimensional heuristics adapted for two-dimensional rectangular strip packing

G. Belov, G. Scheithauer, E. A. Mukhacheva

Research output: Contribution to journalArticleResearchpeer-review

55 Citations (Scopus)


We consider two-dimensional rectangular strip packing without rotation of items and without the guillotine cutting constraint. We propose two iterative heuristics. The first one, SVC(SubKP), is based on a single-pass heuristic SubKP which fills every most bottom-left free space in a one-dimensional knapsack fashion, that is, considering only item widths. It appears especially important to assign suitable pseudo-profits in this knapsack problem. The second heuristic BS(BLR) is based on the known randomized framework Bubble-Search. It generates different item sequences and runs a new sequence-based heuristic Bottom-Left-Right (BLR), a simple modification of the Bottom-Left heuristic. We investigate the solution sets of SubKP and BLR and their relation to each other. In the tests, SVC(SubKP) improves the results for larger instances of the waste-free classes of Hopper and Turton and, on average, for the tested non-waste-free classes, compared to the latest literature. BS(BLR) gives the best results in some classes with smaller number of items (20,40).

Original languageEnglish
Pages (from-to)823-832
Number of pages10
JournalJournal of the Operational Research Society
Issue number6
Publication statusPublished - 1 Jun 2008


  • Greedy
  • Heuristics
  • Knapsack
  • Stochastic search
  • Strip packing

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