IDEAS home Printed from https://ideas.repec.org/r/inm/oropre/v33y1985i1p49-64.html
   My bibliography  Save this item

An Exact Two-Dimensional Non-Guillotine Cutting Tree Search Procedure

Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as


Cited by:

  1. Valerio de Carvalho, J. M., 2002. "LP models for bin packing and cutting stock problems," European Journal of Operational Research, Elsevier, vol. 141(2), pages 253-273, September.
  2. Hifi, Mhand & Paschos, Vangelis Th. & Zissimopoulos, Vassilis, 2004. "A simulated annealing approach for the circular cutting problem," European Journal of Operational Research, Elsevier, vol. 159(2), pages 430-448, December.
  3. G, Young-Gun & Kang, Maing-Kyu, 2001. "A fast algorithm for two-dimensional pallet loading problems of large size," European Journal of Operational Research, Elsevier, vol. 134(1), pages 193-202, October.
  4. Jean-François Côté & Manuel Iori, 2018. "The Meet-in-the-Middle Principle for Cutting and Packing Problems," INFORMS Journal on Computing, INFORMS, vol. 30(4), pages 646-661, November.
  5. 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.
  6. Kelly Cristina Poldi & Silvio Alexandre Araujo, 2016. "Mathematical models and a heuristic method for the multiperiod one-dimensional cutting stock problem," Annals of Operations Research, Springer, vol. 238(1), pages 497-520, March.
  7. Çalık, Hatice & Juwet, Marc & Yaman, Hande & Vanden Berghe, Greet, 2023. "Cargo securing under multi-drop and axle weight constraints," European Journal of Operational Research, Elsevier, vol. 307(1), pages 157-176.
  8. 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.
  9. Shan, Wenxuan & Peng, Zixuan & Liu, Jiaming & Yao, Baozhen & Yu, Bin, 2020. "An exact algorithm for inland container transportation network design," Transportation Research Part B: Methodological, Elsevier, vol. 135(C), pages 41-82.
  10. 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.
  11. Iori, Manuel & de Lima, Vinícius L. & Martello, Silvano & Miyazawa, Flávio K. & Monaci, Michele, 2021. "Exact solution techniques for two-dimensional cutting and packing," European Journal of Operational Research, Elsevier, vol. 289(2), pages 399-415.
  12. RuiYang Li & Ming He & HongYue He & QiaoYu Deng, 2022. "Heuristic column generation for designing an express circular packaging distribution network," Operational Research, Springer, vol. 22(2), pages 1103-1126, April.
  13. Silvano Martello & Daniele Vigo, 1998. "Exact Solution of the Two-Dimensional Finite Bin Packing Problem," Management Science, INFORMS, vol. 44(3), pages 388-399, March.
  14. Sándor P. Fekete & Jörg Schepers, 2004. "A Combinatorial Characterization of Higher-Dimensional Orthogonal Packing," Mathematics of Operations Research, INFORMS, vol. 29(2), pages 353-368, May.
  15. Michele Monaci & Paolo Toth, 2006. "A Set-Covering-Based Heuristic Approach for Bin-Packing Problems," INFORMS Journal on Computing, INFORMS, vol. 18(1), pages 71-85, February.
  16. 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.
  17. 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.
  18. Kurpel, Deidson Vitorio & Scarpin, Cassius Tadeu & Pécora Junior, José Eduardo & Schenekemberg, Cleder Marcos & Coelho, Leandro C., 2020. "The exact solutions of several types of container loading problems," European Journal of Operational Research, Elsevier, vol. 284(1), pages 87-107.
  19. Faina, Loris, 1999. "An application of simulated annealing to the cutting stock problem," European Journal of Operational Research, Elsevier, vol. 114(3), pages 542-556, May.
  20. Lodi, Andrea & Martello, Silvano & Monaci, Michele, 2002. "Two-dimensional packing problems: A survey," European Journal of Operational Research, Elsevier, vol. 141(2), pages 241-252, September.
  21. E. K. Burke & G. Kendall & G. Whitwell, 2004. "A New Placement Heuristic for the Orthogonal Stock-Cutting Problem," Operations Research, INFORMS, vol. 52(4), pages 655-671, August.
  22. Silva, Elsa & Oliveira, José Fernando & Silveira, Tiago & Mundim, Leandro & Carravilla, Maria Antónia, 2023. "The Floating-Cuts model: a general and flexible mixed-integer programming model for non-guillotine and guillotine rectangular cutting problems," Omega, Elsevier, vol. 114(C).
  23. 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.
  24. Stoyan, Yu. G. & Pankratov, A. V., 1999. "Regular packing of congruent polygons on the rectangular sheet," European Journal of Operational Research, Elsevier, vol. 113(3), pages 653-675, March.
  25. Gonçalves, José Fernando & Resende, Mauricio G.C., 2013. "A biased random key genetic algorithm for 2D and 3D bin packing problems," International Journal of Production Economics, Elsevier, vol. 145(2), pages 500-510.
  26. Toledo, Franklina M.B. & Carravilla, Maria Antónia & Ribeiro, Cristina & Oliveira, José F. & Gomes, A. Miguel, 2013. "The Dotted-Board Model: A new MIP model for nesting irregular shapes," International Journal of Production Economics, Elsevier, vol. 145(2), pages 478-487.
  27. Önder Aşık & Ender Özcan, 2009. "Bidirectional best-fit heuristic for orthogonal rectangular strip packing," Annals of Operations Research, Springer, vol. 172(1), pages 405-427, November.
  28. Thapatsuwan, Peeraya & Pongcharoen, Pupong & Hicks, Chris & Chainate, Warattapop, 2012. "Development of a stochastic optimisation tool for solving the multiple container packing problems," International Journal of Production Economics, Elsevier, vol. 140(2), pages 737-748.
  29. 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.
  30. 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.
  31. 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.
  32. Igor Kierkosz & Maciej Łuczak, 2019. "A one-pass heuristic for nesting problems," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 29(1), pages 37-60.
  33. Naiara P. V. Sebbe & Francisco J. G. Silva & Alcinda M. S. Barreiras & Isabel M. Pinto & Rita C. M. Sales-Contini & Luis P. Ferreira & Ana B. M. Machado, 2024. "Pallet Loading Problem: A Case Study in the Automotive Industry Applying a Simplified Mathematical Model," Mathematics, MDPI, vol. 12(7), pages 1-17, March.
  34. Leonardo Junqueira & Reinaldo Morabito & Denise Sato Yamashita, 2012. "MIP-based approaches for the container loading problem with multi-drop constraints," Annals of Operations Research, Springer, vol. 199(1), pages 51-75, October.
  35. 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.
  36. Song, X. & Chu, C.B. & Lewis, R. & Nie, Y.Y. & Thompson, J., 2010. "A worst case analysis of a dynamic programming-based heuristic algorithm for 2D unconstrained guillotine cutting," European Journal of Operational Research, Elsevier, vol. 202(2), pages 368-378, April.
  37. 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.
  38. Stoyan, Yu. G. & Novozhilova, M. V. & Kartashov, A. V., 1996. "Mathematical model and method of searching for a local extremum for the non-convex oriented polygons allocation problem," European Journal of Operational Research, Elsevier, vol. 92(1), pages 193-210, July.
  39. Letchford, Adam N. & Amaral, Andre, 2001. "Analysis of upper bounds for the Pallet Loading Problem," European Journal of Operational Research, Elsevier, vol. 132(3), pages 582-593, August.
  40. 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.
  41. McDonald, Conor M., 2016. "Integrating packaging and supply chain decisions: Selection of economic handling unit quantities," International Journal of Production Economics, Elsevier, vol. 180(C), pages 208-221.
  42. F. Parreño & R. Alvarez-Valdes & J. Oliveira & J. Tamarit, 2010. "A hybrid GRASP/VND algorithm for two- and three-dimensional bin packing," Annals of Operations Research, Springer, vol. 179(1), pages 203-220, September.
  43. Teodor Gabriel Crainic & Guido Perboli & Roberto Tadei, 2008. "Extreme Point-Based Heuristics for Three-Dimensional Bin Packing," INFORMS Journal on Computing, INFORMS, vol. 20(3), pages 368-384, August.
  44. Oluf Faroe & David Pisinger & Martin Zachariasen, 2003. "Guided Local Search for the Three-Dimensional Bin-Packing Problem," INFORMS Journal on Computing, INFORMS, vol. 15(3), pages 267-283, August.
  45. Bayliss, Christopher & Currie, Christine S.M. & Bennell, Julia A. & Martinez-Sykora, Antonio, 2021. "Queue-constrained packing: A vehicle ferry case study," European Journal of Operational Research, Elsevier, vol. 289(2), pages 727-741.
  46. Jéssica Gabriela Almeida Cunha & Vinícius Loti de Lima & Thiago Alves Queiroz, 2020. "Grids for cutting and packing problems: a study in the 2D knapsack problem," 4OR, Springer, vol. 18(3), pages 293-339, September.
  47. Krzysztof Fleszar, 2016. "An Exact Algorithm for the Two-Dimensional Stage-Unrestricted Guillotine Cutting/Packing Decision Problem," INFORMS Journal on Computing, INFORMS, vol. 28(4), pages 703-720, November.
  48. Lu, Hao-Chun & Huang, Yao-Huei, 2015. "An efficient genetic algorithm with a corner space algorithm for a cutting stock problem in the TFT-LCD industry," European Journal of Operational Research, Elsevier, vol. 246(1), pages 51-65.
  49. 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.
  50. George, John A. & George, Jennifer M. & Lamar, Bruce W., 1995. "Packing different-sized circles into a rectangular container," European Journal of Operational Research, Elsevier, vol. 84(3), pages 693-712, August.
  51. 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.
  52. Kelly Poldi & Silvio Araujo, 2016. "Mathematical models and a heuristic method for the multiperiod one-dimensional cutting stock problem," Annals of Operations Research, Springer, vol. 238(1), pages 497-520, March.
  53. L Lins & S Lins & R Morabito, 2003. "An L-approach for packing (ℓ, w)-rectangles into rectangular and L-shaped pieces," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(7), pages 777-789, July.
  54. 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.
  55. Chen, C. S. & Lee, S. M. & Shen, Q. S., 1995. "An analytical model for the container loading problem," European Journal of Operational Research, Elsevier, vol. 80(1), pages 68-76, January.
  56. Wei, Lijun & Oon, Wee-Chong & Zhu, Wenbin & Lim, Andrew, 2011. "A skyline heuristic for the 2D rectangular packing and strip packing problems," European Journal of Operational Research, Elsevier, vol. 215(2), pages 337-346, December.
  57. Cintra, G.F. & Miyazawa, F.K. & Wakabayashi, Y. & Xavier, E.C., 2008. "Algorithms for two-dimensional cutting stock and strip packing problems using dynamic programming and column generation," European Journal of Operational Research, Elsevier, vol. 191(1), pages 61-85, November.
  58. Hifi, M. & Zissimopoulos, V., 1996. "A recursive exact algorithm for weighted two-dimensional cutting," European Journal of Operational Research, Elsevier, vol. 91(3), pages 553-564, June.
  59. 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.
  60. Goncalves, Jose Fernando, 2007. "A hybrid genetic algorithm-heuristic for a two-dimensional orthogonal packing problem," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1212-1229, December.
  61. Baldacci, Roberto & Boschetti, Marco A., 2007. "A cutting-plane approach for the two-dimensional orthogonal non-guillotine cutting problem," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1136-1149, December.
  62. Dowsland, Kathryn A. & Herbert, Edward A. & Kendall, Graham & Burke, Edmund, 2006. "Using tree search bounds to enhance a genetic algorithm approach to two rectangle packing problems," European Journal of Operational Research, Elsevier, vol. 168(2), pages 390-402, January.
  63. Marco Antonio Boschetti & Lorenza Montaletti, 2010. "An Exact Algorithm for the Two-Dimensional Strip-Packing Problem," Operations Research, INFORMS, vol. 58(6), pages 1774-1791, December.
  64. Silva, Allyson & Coelho, Leandro C. & Darvish, Maryam & Renaud, Jacques, 2022. "A cutting plane method and a parallel algorithm for packing rectangles in a circular container," European Journal of Operational Research, Elsevier, vol. 303(1), pages 114-128.
  65. Andrea Lodi & Silvano Martello & Daniele Vigo, 2004. "Models and Bounds for Two-Dimensional Level Packing Problems," Journal of Combinatorial Optimization, Springer, vol. 8(3), pages 363-379, September.
  66. 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).
  67. 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.
  68. W. D. D. Madhavee & N. Saldin & U. C. Vaidyarathna & C. J. Jayawardene, 2018. "A Practical Application of the Generalized Cutting Stock Algorithm," Academic Journal of Applied Mathematical Sciences, Academic Research Publishing Group, vol. 4(3), pages 15-21, 03-2018.
  69. K A Dowsland & M Gilbert & G Kendall, 2007. "A local search approach to a circle cutting problem arising in the motor cycle industry," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(4), pages 429-438, April.
  70. Sándor P. Fekete & Jörg Schepers & Jan C. van der Veen, 2007. "An Exact Algorithm for Higher-Dimensional Orthogonal Packing," Operations Research, INFORMS, vol. 55(3), pages 569-587, June.
  71. 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.
  72. Lodi, Andrea & Martello, Silvano & Vigo, Daniele, 1999. "Approximation algorithms for the oriented two-dimensional bin packing problem," European Journal of Operational Research, Elsevier, vol. 112(1), pages 158-166, January.
  73. Kaizhi Chen & Jiahao Zhuang & Shangping Zhong & Song Zheng, 2020. "Optimization Method for Guillotine Packing of Rectangular Items within an Irregular and Defective Slate," Mathematics, MDPI, vol. 8(11), pages 1-16, November.
  74. 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.
  75. Leung, T. W. & Chan, Chi Kin & Troutt, Marvin D., 2003. "Application of a mixed simulated annealing-genetic algorithm heuristic for the two-dimensional orthogonal packing problem," European Journal of Operational Research, Elsevier, vol. 145(3), pages 530-542, March.
  76. 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.
  77. I. Gimenez-Palacios & M. T. Alonso & R. Alvarez-Valdes & F. Parreño, 2021. "Logistic constraints in container loading problems: the impact of complete shipment conditions," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(1), pages 177-203, April.
  78. Silvano Martello & Michele Monaci & Daniele Vigo, 2003. "An Exact Approach to the Strip-Packing Problem," INFORMS Journal on Computing, INFORMS, vol. 15(3), pages 310-319, August.
  79. 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.
  80. Ronnqvist, Mikael, 1995. "A method for the cutting stock problem with different qualities," European Journal of Operational Research, Elsevier, vol. 83(1), pages 57-68, May.
  81. Michele Monaci & André Gustavo Santos, 2018. "Minimum tiling of a rectangle by squares," Annals of Operations Research, Springer, vol. 271(2), pages 831-851, December.
  82. 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.
  83. G M Ribeiro & L A N Lorena, 2008. "Optimizing the woodpulp stowage using Lagrangean relaxation with clusters," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(5), pages 600-606, May.
  84. Nestor M Cid-Garcia & Yasmin A Rios-Solis, 2020. "Positions and covering: A two-stage methodology to obtain optimal solutions for the 2d-bin packing problem," PLOS ONE, Public Library of Science, vol. 15(4), pages 1-22, April.
  85. Yanasse, Horacio Hideki & Pinto Lamosa, Maria Jose, 2007. "An integrated cutting stock and sequencing problem," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1353-1370, December.
  86. Fekete, Sandor P. & van der Veen, Jan C., 2007. "PackLib2: An integrated library of multi-dimensional packing problems," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1131-1135, December.
IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.