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A two-stage intelligent search algorithm for the two-dimensional strip packing problem

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  • Leung, Stephen C.H.
  • Zhang, Defu
  • Sim, Kwang Mong

Abstract

This paper presents a two-stage intelligent search algorithm for a two-dimensional strip packing problem without guillotine constraint. In the first stage, a heuristic algorithm is proposed, which is based on a simple scoring rule that selects one rectangle from all rectangles to be packed, for a given space. In the second stage, a local search and a simulated annealing algorithm are combined to improve solutions of the problem. In particular, a multi-start strategy is designed to enhance the search capability of the simulated annealing algorithm. Extensive computational experiments on a wide range of benchmark problems from zero-waste to non-zero-waste instances are implemented. Computational results obtained in less than 60Â seconds of computation time show that the proposed algorithm outperforms the supposedly excellent algorithms reported recently, on average. It performs particularly better for large instances.

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  • Leung, Stephen C.H. & Zhang, Defu & Sim, Kwang Mong, 2011. "A two-stage intelligent search algorithm for the two-dimensional strip packing problem," European Journal of Operational Research, Elsevier, vol. 215(1), pages 57-69, November.
    • Handle: RePEc:eee:ejores:v:215:y:2011:i:1:p:57-69
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    4. de Queiroz, Thiago A. & Miyazawa, Flávio K., 2013. "Two-dimensional strip packing problem with load balancing, load bearing and multi-drop constraints," International Journal of Production Economics, Elsevier, vol. 145(2), pages 511-530.
    5. Wei, Lijun & Zhu, Wenbin & Lim, Andrew & Liu, Qiang & Chen, Xin, 2018. "An adaptive selection approach for the 2D rectangle packing area minimization problem," Omega, Elsevier, vol. 80(C), pages 22-30.
    6. He, Kun & Ji, Pengli & Li, Chumin, 2015. "Dynamic reduction heuristics for the rectangle packing area minimization problem," European Journal of Operational Research, Elsevier, vol. 241(3), pages 674-685.
    7. Lei Wang & Aihua Yin, 2016. "A quasi-human algorithm for the two dimensional rectangular strip packing problem: in memory of Prof. Wenqi Huang," Journal of Combinatorial Optimization, Springer, vol. 32(2), pages 416-444, August.
    8. Kaiyuan Liu & Hongyu Zhang & Chong Wang & Hui Li & Yongquan Chen & Qiong Chen, 2023. "Robust Optimization for the Two-Dimensional Strip-Packing Problem with Variable-Sized Bins," Mathematics, MDPI, vol. 11(23), pages 1-22, November.
    9. 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.
    10. Jean-François Côté & Mauro Dell'Amico & Manuel Iori, 2014. "Combinatorial Benders' Cuts for the Strip Packing Problem," Operations Research, INFORMS, vol. 62(3), pages 643-661, June.
    11. Jean-François Côté & Michel Gendreau & Jean-Yves Potvin, 2020. "The Vehicle Routing Problem with Stochastic Two-Dimensional Items," Transportation Science, INFORMS, vol. 54(2), pages 453-469, March.
    12. Wang, Mengyao & Zhou, Chenhao & Wang, Aihu, 2022. "A cluster-based yard template design integrated with yard crane deployment using a placement heuristic," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 160(C).
    13. Defu Zhang & Yuxin Che & Furong Ye & Yain-Whar Si & Stephen C. H. Leung, 2016. "A hybrid algorithm based on variable neighbourhood for the strip packing problem," Journal of Combinatorial Optimization, Springer, vol. 32(2), pages 513-530, August.
    14. Rosephine G. Rakotonirainy & Jan H. Vuuren, 2021. "The effect of benchmark data characteristics during empirical strip packing heuristic performance evaluation," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 43(2), pages 467-495, June.
    15. Stéphane Grandcolas & Cyril Pain-Barre, 2022. "A hybrid metaheuristic for the two-dimensional strip packing problem," Annals of Operations Research, Springer, vol. 309(1), pages 79-102, February.
    16. Bouzid, Mouaouia Cherif & Salhi, Said, 2020. "Packing rectangles into a fixed size circular container: Constructive and metaheuristic search approaches," European Journal of Operational Research, Elsevier, vol. 285(3), pages 865-883.
    17. Zhang, Zhenzhen & Wei, Lijun & Lim, Andrew, 2015. "An evolutionary local search for the capacitated vehicle routing problem minimizing fuel consumption under three-dimensional loading constraints," Transportation Research Part B: Methodological, Elsevier, vol. 82(C), pages 20-35.

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