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A population heuristic for constrained two-dimensional non-guillotine cutting

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  • Beasley, J. E.

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  • Beasley, J. E., 2004. "A population heuristic for constrained two-dimensional non-guillotine cutting," European Journal of Operational Research, Elsevier, vol. 156(3), pages 601-627, August.
    • Handle: RePEc:eee:ejores:v:156:y:2004:i:3:p:601-627
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    1. Nicos Christofides & Charles Whitlock, 1977. "An Algorithm for Two-Dimensional Cutting Problems," Operations Research, INFORMS, vol. 25(1), pages 30-44, February.
    2. J E Beasley & J Sonander & P Havelock, 2001. "Scheduling aircraft landings at London Heathrow using a population heuristic," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(5), pages 483-493, May.
    3. Beasley, J. E. & Meade, N. & Chang, T. -J., 2003. "An evolutionary heuristic for the index tracking problem," European Journal of Operational Research, Elsevier, vol. 148(3), pages 621-643, August.
    4. Dowsland, Kathryn A. & Dowsland, William B., 1992. "Packing problems," European Journal of Operational Research, Elsevier, vol. 56(1), pages 2-14, January.
    5. Arenales, Marcos & Morabito, Reinaldo, 1995. "An AND/OR-graph approach to the solution of two-dimensional non-guillotine cutting problems," European Journal of Operational Research, Elsevier, vol. 84(3), pages 599-617, August.
    6. Jakobs, Stefan, 1996. "On genetic algorithms for the packing of polygons," European Journal of Operational Research, Elsevier, vol. 88(1), pages 165-181, January.
    7. Hadjiconstantinou, Eleni & Christofides, Nicos, 1995. "An exact algorithm for general, orthogonal, two-dimensional knapsack problems," European Journal of Operational Research, Elsevier, vol. 83(1), pages 39-56, May.
    8. P. Y. Wang, 1983. "Two Algorithms for Constrained Two-Dimensional Cutting Stock Problems," Operations Research, INFORMS, vol. 31(3), pages 573-586, June.
    9. Dyckhoff, Harald, 1990. "A typology of cutting and packing problems," European Journal of Operational Research, Elsevier, vol. 44(2), pages 145-159, January.
    10. Haessler, Robert W. & Sweeney, Paul E., 1991. "Cutting stock problems and solution procedures," European Journal of Operational Research, Elsevier, vol. 54(2), pages 141-150, September.
    11. J. E. Beasley, 1985. "An Exact Two-Dimensional Non-Guillotine Cutting Tree Search Procedure," Operations Research, INFORMS, vol. 33(1), pages 49-64, February.
    12. Wu, Yu-Liang & Huang, Wenqi & Lau, Siu-chung & Wong, C. K. & Young, Gilbert H., 2002. "An effective quasi-human based heuristic for solving the rectangle packing problem," European Journal of Operational Research, Elsevier, vol. 141(2), pages 341-358, September.
    13. Beasley, J. E. & Chu, P. C., 1996. "A genetic algorithm for the set covering problem," European Journal of Operational Research, Elsevier, vol. 94(2), pages 392-404, October.
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    Cited by:

    1. Igor Kierkosz & Maciej Luczak, 2014. "A hybrid evolutionary algorithm for the two-dimensional packing problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 22(4), pages 729-753, December.
    2. Alvarez-Valdes, R. & Parreno, F. & Tamarit, J.M., 2007. "A tabu search algorithm for a two-dimensional non-guillotine cutting problem," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1167-1182, December.
    3. Demiröz, Barış Evrim & Altınel, İ. Kuban & Akarun, Lale, 2019. "Rectangle blanket problem: Binary integer linear programming formulation and solution algorithms," European Journal of Operational Research, Elsevier, vol. 277(1), pages 62-83.
    4. Felix Prause & Kai Hoppmann-Baum & Boris Defourny & Thorsten Koch, 2021. "The maximum diversity assortment selection problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 93(3), pages 521-554, June.
    5. E G Birgin & J M Martínez & W F Mascarenhas & D P Ronconi, 2006. "Method of sentinels for packing items within arbitrary convex regions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(6), pages 735-746, June.
    6. José Fernando Gonçalves & Mauricio G. C. Resende, 2011. "A parallel multi-population genetic algorithm for a constrained two-dimensional orthogonal packing problem," Journal of Combinatorial Optimization, Springer, vol. 22(2), pages 180-201, August.
    7. Hong, Shaohui & Zhang, Defu & Lau, Hoong Chuin & Zeng, XiangXiang & Si, Yain-Whar, 2014. "A hybrid heuristic algorithm for the 2D variable-sized bin packing problem," European Journal of Operational Research, Elsevier, vol. 238(1), pages 95-103.
    8. Ben Messaoud, Said & Chu, Chengbin & Espinouse, Marie-Laure, 2008. "Characterization and modelling of guillotine constraints," European Journal of Operational Research, Elsevier, vol. 191(1), pages 112-126, November.
    9. Vera Neidlein & Andrèa C. G. Vianna & Marcos N. Arenales & Gerhard Wäscher, 2008. "The Two-Dimensional, Rectangular, Guillotineable-Layout Cutting Problem with a Single Defect," FEMM Working Papers 08035, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    10. István Borgulya, 2019. "An EDA for the 2D knapsack problem with guillotine constraint," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 27(2), pages 329-356, June.
    11. Silva, Elsa & Oliveira, José F. & Wäscher, Gerhard, 2014. "2DCPackGen: A problem generator for two-dimensional rectangular cutting and packing problems," European Journal of Operational Research, Elsevier, vol. 237(3), pages 846-856.
    12. Bennell, Julia A. & Soon Lee, Lai & Potts, Chris N., 2013. "A genetic algorithm for two-dimensional bin packing with due dates," International Journal of Production Economics, Elsevier, vol. 145(2), pages 547-560.
    13. Bortfeldt, Andreas, 2013. "A reduction approach for solving the rectangle packing area minimization problem," European Journal of Operational Research, Elsevier, vol. 224(3), pages 486-496.
    14. Wascher, Gerhard & Hau[ss]ner, Heike & Schumann, Holger, 2007. "An improved typology of cutting and packing problems," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1109-1130, December.
    15. Polyakovsky, Sergey & M'Hallah, Rym, 2009. "An agent-based approach to the two-dimensional guillotine bin packing problem," European Journal of Operational Research, Elsevier, vol. 192(3), pages 767-781, February.
    16. Hadjiconstantinou, Eleni & Iori, Manuel, 2007. "A hybrid genetic algorithm for the two-dimensional single large object placement problem," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1150-1166, December.
    17. R Alvarez-Valdes & F Parreño & J M Tamarit, 2005. "A GRASP algorithm for constrained two-dimensional non-guillotine cutting problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(4), pages 414-425, April.
    18. Wei, Lijun & Hu, Qian & Lim, Andrew & Liu, Qiang, 2018. "A best-fit branch-and-bound heuristic for the unconstrained two-dimensional non-guillotine cutting problem," European Journal of Operational Research, Elsevier, vol. 270(2), pages 448-474.
    19. Gonçalves, José Fernando & Wäscher, Gerhard, 2020. "A MIP model and a biased random-key genetic algorithm based approach for a two-dimensional cutting problem with defects," European Journal of Operational Research, Elsevier, vol. 286(3), pages 867-882.
    20. Gasimov, Rafail N. & Sipahioglu, Aydin & Sarac, Tugba, 2007. "A multi-objective programming approach to 1.5-dimensional assortment problem," European Journal of Operational Research, Elsevier, vol. 179(1), pages 64-79, May.
    21. Wei, Lijun & Lim, Andrew, 2015. "A bidirectional building approach for the 2D constrained guillotine knapsack packing problem," European Journal of Operational Research, Elsevier, vol. 242(1), pages 63-71.

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