Skip to main content
Erschienen in: Journal of Combinatorial Optimization 2/2016

01.08.2016

A quasi-human algorithm for the two dimensional rectangular strip packing problem: in memory of Prof. Wenqi Huang

verfasst von: Lei Wang, Aihua Yin

Erschienen in: Journal of Combinatorial Optimization | Ausgabe 2/2016

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

This paper presents a quasi-human algorithm for the rectangular strip packing problem without guillotine constraint. The basic version of the algorithm works according to seven heuristic selection rules, which are designed to select a corner-occupying action. The strengthened version of the algorithm adopts a branching scheme in which the basic version of the algorithm is applied in a heuristic series of parallel branches. Computational tests carried on eight sets of well-known benchmark instances show that the algorithm is efficient for approximately solving the problem. In comparison with the best algorithms in the literature, the algorithm performs better for zero-waste instances and large scale non-zero-waste instances.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Alvarez-Valdes A, Parreno F, Tamarit JM (2009) A branch and bound algorithm for the strip packing problem. OR Spect 31(2):431–459MathSciNetCrossRefMATH Alvarez-Valdes A, Parreno F, Tamarit JM (2009) A branch and bound algorithm for the strip packing problem. OR Spect 31(2):431–459MathSciNetCrossRefMATH
Zurück zum Zitat Berkey JO, Wang PY (1987) Two-dimensional finite bin packing algorithms. J Oper Res Soc 38:423–429CrossRefMATH Berkey JO, Wang PY (1987) Two-dimensional finite bin packing algorithms. J Oper Res Soc 38:423–429CrossRefMATH
Zurück zum Zitat Bortfeldt A (2006) A genetic algorithm for the two-dimensional strip packing problem with rectangular pieces. Eur J Oper Res 172(3):814–837MathSciNetCrossRefMATH Bortfeldt A (2006) A genetic algorithm for the two-dimensional strip packing problem with rectangular pieces. Eur J Oper Res 172(3):814–837MathSciNetCrossRefMATH
Zurück zum Zitat Burke EK, Kendall G, Whitwell G (2004) A new placement heuristic for the orthogonal stock-cutting problem. Oper Res 52(4):655–671CrossRefMATH Burke EK, Kendall G, Whitwell G (2004) A new placement heuristic for the orthogonal stock-cutting problem. Oper Res 52(4):655–671CrossRefMATH
Zurück zum Zitat Christofides N, Whitlock C (1977) An algorithm for two-dimensional cutting problems. Oper Res 25(1):30–44CrossRefMATH Christofides N, Whitlock C (1977) An algorithm for two-dimensional cutting problems. Oper Res 25(1):30–44CrossRefMATH
Zurück zum Zitat Cui YD, Yang YL, Cehng X, Song PH (2008) A recursive branch-and-bound algorithm for the rectangular guillotine strip packing problem. Comput Oper Res 35(4):1281–1291CrossRefMATH Cui YD, Yang YL, Cehng X, Song PH (2008) A recursive branch-and-bound algorithm for the rectangular guillotine strip packing problem. Comput Oper Res 35(4):1281–1291CrossRefMATH
Zurück zum Zitat He K, Jin Y, Huang WQ (2013) Heuristic for two-dimensional strip packing problem with 90 rotations. Expert Syst Appl 40:5542–5550CrossRef He K, Jin Y, Huang WQ (2013) Heuristic for two-dimensional strip packing problem with 90 rotations. Expert Syst Appl 40:5542–5550CrossRef
Zurück zum Zitat Hifi M (1998) Exact algorithms for the guillotine strip cutting/packing problem. Comput Oper Res 25:925–940CrossRefMATH Hifi M (1998) Exact algorithms for the guillotine strip cutting/packing problem. Comput Oper Res 25:925–940CrossRefMATH
Zurück zum Zitat Hochbaum DS, Maass W (1985) Approximation schemes for covering and packing problems in image processing and VLSI. J ACM 32(1):130–136MathSciNetCrossRefMATH Hochbaum DS, Maass W (1985) Approximation schemes for covering and packing problems in image processing and VLSI. J ACM 32(1):130–136MathSciNetCrossRefMATH
Zurück zum Zitat Hopper E, Turton BCH (2001) An empirical investigation of meta-heuristic and heuristic algorithm for a 2D packing problem. Eur J Oper Res 128(1):34–57CrossRefMATH Hopper E, Turton BCH (2001) An empirical investigation of meta-heuristic and heuristic algorithm for a 2D packing problem. Eur J Oper Res 128(1):34–57CrossRefMATH
Zurück zum Zitat Jiang JQ, Liang YC, Shi XH, Lee HP (2004) A hybrid algorithm based on PSO and SA and its application for two-dimensional non-guillotine cutting stock problem. Lecture Notes in Computer Science, vol 3007, pp 666–669 Jiang JQ, Liang YC, Shi XH, Lee HP (2004) A hybrid algorithm based on PSO and SA and its application for two-dimensional non-guillotine cutting stock problem. Lecture Notes in Computer Science, vol 3007, pp 666–669
Zurück zum Zitat Leung TW, Chan CK, Troutt MD (2003) Application of a mixed simulated annealing-genetic algorithm heuristic for the two-dimensional orthogonal packing problem. Eur J Oper Res 145(3):530–542MathSciNetCrossRefMATH Leung TW, Chan CK, Troutt MD (2003) Application of a mixed simulated annealing-genetic algorithm heuristic for the two-dimensional orthogonal packing problem. Eur J Oper Res 145(3):530–542MathSciNetCrossRefMATH
Zurück zum Zitat Leung SCH, Zhang DF (2011) A fast layer-based heuristic for non-guillotine strip packing. Expert Syst Appl 38:13032–13042MathSciNetCrossRef Leung SCH, Zhang DF (2011) A fast layer-based heuristic for non-guillotine strip packing. Expert Syst Appl 38:13032–13042MathSciNetCrossRef
Zurück zum Zitat Leung SCH, Zhang DF, Sim KM (2011) A two-stage intelligent search algorithm for the two-dimensional strip packing problem. Eur J Oper Res 215(1):57–69CrossRef Leung SCH, Zhang DF, Sim KM (2011) A two-stage intelligent search algorithm for the two-dimensional strip packing problem. Eur J Oper Res 215(1):57–69CrossRef
Zurück zum Zitat Lodi A, Martello S, Vigo D (1999) Heuristic and metaheuristic approaches for a class of two dimensional bin packing problem. INFORMS J Comput 11(2):345–357MathSciNetCrossRefMATH Lodi A, Martello S, Vigo D (1999) Heuristic and metaheuristic approaches for a class of two dimensional bin packing problem. INFORMS J Comput 11(2):345–357MathSciNetCrossRefMATH
Zurück zum Zitat Martello S, Vigo D (1998) Exact solution of the two-dimensional finite bin packing problem. Manag Sci 25:253–257MATH Martello S, Vigo D (1998) Exact solution of the two-dimensional finite bin packing problem. Manag Sci 25:253–257MATH
Zurück zum Zitat Pinto E, Oliverira JF (2005) Algorithm based on graphs for the non-guillotinable two-dimensional packing problem. Second ESICP Meeting, Southampton Pinto E, Oliverira JF (2005) Algorithm based on graphs for the non-guillotinable two-dimensional packing problem. Second ESICP Meeting, Southampton
Zurück zum Zitat Valenzuela CL, Wang PY (2001) Heuristics for large strip packing problems with guillotine patterns: an empirical study. In: Proceedings of the 4th Metaheuristics International Conference. University of Porto, Porto, pp 417–421 Valenzuela CL, Wang PY (2001) Heuristics for large strip packing problems with guillotine patterns: an empirical study. In: Proceedings of the 4th Metaheuristics International Conference. University of Porto, Porto, pp 417–421
Zurück zum Zitat Wei LJ, Zhang DF, Chen QS (2009) A least wasted first heuristic algorithm for the rectangular packing problem. Comput Oper Res 36(5):1608–1614MathSciNetCrossRefMATH Wei LJ, Zhang DF, Chen QS (2009) A least wasted first heuristic algorithm for the rectangular packing problem. Comput Oper Res 36(5):1608–1614MathSciNetCrossRefMATH
Zurück zum Zitat Zhang DF, Wei LJ, Leung SCH, Chen QS (2013) A binary search heuristic algorithm based on randomized local search for the rectangular strip-packing problem. INFORMS J Comput 25(2):332–345CrossRef Zhang DF, Wei LJ, Leung SCH, Chen QS (2013) A binary search heuristic algorithm based on randomized local search for the rectangular strip-packing problem. INFORMS J Comput 25(2):332–345CrossRef
Metadaten
Titel
A quasi-human algorithm for the two dimensional rectangular strip packing problem: in memory of Prof. Wenqi Huang
verfasst von
Lei Wang
Aihua Yin
Publikationsdatum
01.08.2016
Verlag
Springer US
Erschienen in
Journal of Combinatorial Optimization / Ausgabe 2/2016
Print ISSN: 1382-6905
Elektronische ISSN: 1573-2886
DOI
https://doi.org/10.1007/s10878-015-9961-z

Weitere Artikel der Ausgabe 2/2016

Journal of Combinatorial Optimization 2/2016 Zur Ausgabe