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The geometry of nesting problems: A tutorial

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Cited by:

  1. Juan Lu & Chengyi Ou & Chen Liao & Zhenkun Zhang & Kai Chen & Xiaoping Liao, 2021. "Formal modelling of a sheet metal smart manufacturing system by using Petri nets and first-order predicate logic," Journal of Intelligent Manufacturing, Springer, vol. 32(4), pages 1043-1063, April.
  2. Hagspihl, Thomas & Kolisch, Rainer & Fontaine, Pirmin & Schiffels, Sebastian, 2024. "Apron layout planning–Optimal positioning of aircraft stands," Transportation Research Part B: Methodological, Elsevier, vol. 179(C).
  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. 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.
  5. Kimms, Alf & Király, Hédi, 2023. "An extended model formulation for the two-dimensional irregular strip packing problem considering general industry-relevant aspects," European Journal of Operational Research, Elsevier, vol. 306(3), pages 1202-1218.
  6. Luiz H. Cherri & Adriana C. Cherri & Edilaine M. Soler, 2018. "Mixed integer quadratically-constrained programming model to solve the irregular strip packing problem with continuous rotations," Journal of Global Optimization, Springer, vol. 72(1), pages 89-107, September.
  7. Chehrazad, Sahar & Roose, Dirk & Wauters, Tony, 2022. "A fast and scalable bottom-left-fill algorithm to solve nesting problems using a semi-discrete representation," European Journal of Operational Research, Elsevier, vol. 300(3), pages 809-826.
  8. Akang Wang & Christopher L. Hanselman & Chrysanthos E. Gounaris, 2018. "A customized branch-and-bound approach for irregular shape nesting," Journal of Global Optimization, Springer, vol. 71(4), pages 935-955, August.
  9. Huang, Zhendong & Xiao, Renbin, 2013. "An emergent computation approach to the problem of polygon layout with performance constraints," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 5074-5088.
  10. 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.
  11. Qin, Yichen & Ng, Kam K.H., 2023. "Analysing the impact of collaborations between airlines and maintenance service company under MRO outsourcing mode: Perspective from airline's operations," Journal of Air Transport Management, Elsevier, vol. 109(C).
  12. 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.
  13. Sato, André Kubagawa & Martins, Thiago Castro & Gomes, Antonio Miguel & Tsuzuki, Marcos Sales Guerra, 2019. "Raster penetration map applied to the irregular packing problem," European Journal of Operational Research, Elsevier, vol. 279(2), pages 657-671.
  14. Frank J. Kampas & János D. Pintér & Ignacio Castillo, 2023. "Model Development and Solver Demonstrations Using Randomized Test Problems," SN Operations Research Forum, Springer, vol. 4(1), pages 1-15, March.
  15. Qiang Luo & Yunqing Rao, 2022. "Improved Sliding Algorithm for Generating No-Fit Polygon in the 2D Irregular Packing Problem," Mathematics, MDPI, vol. 10(16), pages 1-18, August.
  16. J A Bennell & J F Oliveira, 2009. "A tutorial in irregular shape packing problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 93-105, May.
  17. Jäck, Christian & Gönsch, Jochen, 2024. "How to load your auto carrier. A hybrid packing approach for the auto-carrier loading problem," European Journal of Operational Research, Elsevier, vol. 315(3), pages 1167-1181.
  18. Eunice López-Camacho & Gabriela Ochoa & Hugo Terashima-Marín & Edmund Burke, 2013. "An effective heuristic for the two-dimensional irregular bin packing problem," Annals of Operations Research, Springer, vol. 206(1), pages 241-264, July.
  19. Igor Litvinchev & Andreas Fischer & Tetyana Romanova & Petro Stetsyuk, 2024. "A New Class of Irregular Packing Problems Reducible to Sphere Packing in Arbitrary Norms," Mathematics, MDPI, vol. 12(7), pages 1-17, March.
  20. Lastra-Díaz, Juan J. & Ortuño, M. Teresa, 2024. "Mixed-integer programming models for irregular strip packing based on vertical slices and feasibility cuts," European Journal of Operational Research, Elsevier, vol. 313(1), pages 69-91.
  21. Martinez-Sykora, A. & Alvarez-Valdes, R. & Bennell, J.A. & Ruiz, R. & Tamarit, J.M., 2017. "Matheuristics for the irregular bin packing problem with free rotations," European Journal of Operational Research, Elsevier, vol. 258(2), pages 440-455.
  22. Josef Kallrath & Joonghyun Ryu & Chanyoung Song & Mokwon Lee & Deok-Soo Kim, 2021. "Near optimal minimal convex hulls of disks," Journal of Global Optimization, Springer, vol. 80(3), pages 551-594, July.
  23. Han, Wei & Bennell, Julia A. & Zhao, Xiaozhou & Song, Xiang, 2013. "Construction heuristics for two-dimensional irregular shape bin packing with guillotine constraints," European Journal of Operational Research, Elsevier, vol. 230(3), pages 495-504.
  24. Umetani, Shunji & Murakami, Shohei, 2022. "Coordinate descent heuristics for the irregular strip packing problem of rasterized shapes," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1009-1026.
  25. Josef Kallrath & Tatiana Romanova & Alexander Pankratov & Igor Litvinchev & Luis Infante, 2023. "Packing convex polygons in minimum-perimeter convex hulls," Journal of Global Optimization, Springer, vol. 85(1), pages 39-59, January.
  26. Miguel Santoro & Felipe Lemos, 2015. "Irregular packing: MILP model based on a polygonal enclosure," Annals of Operations Research, Springer, vol. 235(1), pages 693-707, December.
  27. Alvarez-Valdes, R. & Martinez, A. & Tamarit, J.M., 2013. "A branch & bound algorithm for cutting and packing irregularly shaped pieces," International Journal of Production Economics, Elsevier, vol. 145(2), pages 463-477.
  28. Frank J. Kampas & János D. Pintér & Ignacio Castillo, 2020. "Packing ovals in optimized regular polygons," Journal of Global Optimization, Springer, vol. 77(1), pages 175-196, May.
  29. Martinez-Sykora, Antonio & Alvarez-Valdes, Ramon & Bennell, Julia & Tamarit, Jose Manuel, 2015. "Constructive procedures to solve 2-dimensional bin packing problems with irregular pieces and guillotine cuts," Omega, Elsevier, vol. 52(C), pages 15-32.
  30. Leao, Aline A.S. & Toledo, Franklina M.B. & Oliveira, José Fernando & Carravilla, Maria Antónia & Alvarez-Valdés, Ramón, 2020. "Irregular packing problems: A review of mathematical models," European Journal of Operational Research, Elsevier, vol. 282(3), pages 803-822.
  31. Cherri, Luiz Henrique & Carravilla, Maria Antónia & Ribeiro, Cristina & Toledo, Franklina Maria Bragion, 2019. "Optimality in nesting problems: New constraint programming models and a new global constraint for non-overlap," Operations Research Perspectives, Elsevier, vol. 6(C).
  32. Yainier Labrada-Nueva & Martin H. Cruz-Rosales & Juan Manuel Rendón-Mancha & Rafael Rivera-López & Marta Lilia Eraña-Díaz & Marco Antonio Cruz-Chávez, 2021. "Overlap Detection in 2D Amorphous Shapes for Paper Optimization in Digital Printing Presses," Mathematics, MDPI, vol. 9(9), pages 1-22, May.
  33. Cherri, Luiz H. & Mundim, Leandro R. & Andretta, Marina & Toledo, Franklina M.B. & Oliveira, José F. & Carravilla, Maria Antónia, 2016. "Robust mixed-integer linear programming models for the irregular strip packing problem," European Journal of Operational Research, Elsevier, vol. 253(3), pages 570-583.
  34. E. K. Burke & R. S. R. Hellier & G. Kendall & G. Whitwell, 2010. "Irregular Packing Using the Line and Arc No-Fit Polygon," Operations Research, INFORMS, vol. 58(4-part-1), pages 948-970, August.
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