1,147
Views
58
CrossRef citations to date
0
Altmetric
Reviews

Analysis of irregular three-dimensional packing problems in additive manufacturing: a new taxonomy and dataset

, , ORCID Icon &
Pages 5920-5934 | Received 17 Oct 2017, Accepted 30 Sep 2018, Published online: 16 Oct 2018

References

  • Achillas Charisios, Tzetzis Dimitrios, and Raimondo Maria Olga. 2017. “Alternative Production Strategies Based on the Comparison of Additive and Traditional Manufacturing Technologies.” International Journal of Production Research 55 (12): 3497–3509. doi: 10.1080/00207543.2017.1282645
  • Allen, Sam, Edmund K. Burke, Matthew Hyde, and Graham Kendall. 2009. “Evolving Reusable 3d Packing Heuristics with Genetic Programming.” Proceedings of the 11th Annual Conference on Genetic and Evolutionary Computation, Montreal, QC, Canada (931–938). ACM.
  • Araújo, Luiz Jonatã Pires, Ender Özcan, Jason Atkin, Martin Baumers, Christopher Tuck, and Richard Hague. 2015. “Toward Better Build Volume Packing in Additive Manufacturing: Classification of Existing Problems and Benchmarks.” 26th Annual International Solid Freeform Fabrication Symposium, Austin, TX, USA (401).
  • Araújo, Luiz Jonatã Pires, Ender Özcan, Jason A. D. Atkin, Martin Baumers, Chris Tuck, and Richard Hague. 2016. “A Part Complexity Measurement Method Supporting 3D Printing.” NIP & Digital Fabrication Conference, Manchester, UK, vol. 2016, no. 1, pp. 329–334. Society for Imaging Science and Technology, 2016.
  • Araújo, Luiz Jonatã Pires, and Plácido Pinheiro. 2010. “Combining Heuristics Backtracking and Genetic Algorithm to Solve the Container Loading Problem with Weight Distribution.” In P. Novais, M. Calejo, and J. Sedano (Eds.), Soft Computing Models in Industrial and Environmental Applications (pp. 95–102). Guimarães, Portugal: Springer.
  • Baumers, Martin, Luca Beltrametti, Angelo Gasparre, and Richard Hague. 2017. “Informing Additive Manufacturing Technology Adoption: Total Cost and the Impact of Capacity Utilisation.” International Journal of Production Research 55 (23): 6957–6970. doi: 10.1080/00207543.2017.1334978
  • Baumers, Martin, Chris Tuck, Ricky Wildman, Ian Ashcroft, and Richard Hague. 2016. “Shape Complexity and Process Energy Consumption in Electron Beam Melting: A Case of Something for Nothing in Additive Manufacturing?” Journal of Industrial Ecology S1: S157–S167.
  • Baumers Martin, Tuck Chris, Wildman Ricky, Ashcroft Ian, Rosamond Emma, and Hague Richard. 2013. “Transparency Built-in.” Journal of Industrial Ecology 17 (3): 418–431. doi: 10.1111/j.1530-9290.2012.00512.x
  • Beasley John E. 1990. “OR-Library: Distributing Test Problems by Electronic Mail.” Journal of the operational research society 41 (11): 1069–1072. doi: 10.1057/jors.1990.166
  • Bischoff E. E. 2006. “Three-dimensional Packing of Items with Limited Load Bearing Strength.” European Journal of Operational Research 168 (3): 952–966. doi: 10.1016/j.ejor.2004.04.037
  • Boccia Maurizio, Di Muro Serena, Mosca Francesco, Sforza Antonio, and Sterle Claudio. 2011. “A Fast Heuristic for a Three-dimensional Non-convex Domain Loading Problem.” 4OR 9 (1): 83–101. doi: 10.1007/s10288-010-0133-9
  • Burke E. K., Gendreau M., Hyde M., Kendall G., Ochoa G., Özcan E., and Qu R. 2013. “Hyper-heuristics: A Survey of the State of the Art.” Journal of the Operational Research Society 64 (12): 1695–1724. doi: 10.1057/jors.2013.71
  • Byun Hong-Seok, and Lee Kwan H. 2005. “Determination of the Optimal Part Orientation in Layered Manufacturing using a Genetic Algorithm.” International Journal of Production Research 43 (13): 2709–2724. doi: 10.1080/00207540500031857
  • Canellidis Vassilios, Dedoussis Vassilis, Mantzouratos N., and Sofianopoulou S. 2006. “Pre-processing Methodology for Optimizing Stereolithography Apparatus Build Performance.” Computers in Industry57 (5): 424–436. doi: 10.1016/j.compind.2006.02.004
  • Canellidis V., Giannatsis J., and Dedoussis V. 2009. “Genetic-algorithm-based Multi-objective Optimization of the Build Orientation in Stereolithography.” The International Journal of Advanced Manufacturing Technology 45 (7–8): 714–730. doi: 10.1007/s00170-009-2006-y
  • Canellidis, V., J. Giannatsis, and V. Dedoussis. 2010. “Effective Nesting of Layer Manufacturing Fabricated Parts using a Genetic Algorithm and a Bottom-left Ray Casting Procedure.” 2010 IEEE International Conference on Industrial Engineering and Engineering Management (IEEM), Macau (pp. 547–551). IEEE.
  • Canellidis Vassilios, Giannatsis John, and Dedoussis Vassilis. 2013. “Efficient Parts Nesting Schemes for Improving Stereolithography Utilization.” Computer-Aided Design 45 (5): 875–886. doi: 10.1016/j.cad.2012.12.002
  • Chernov N, Stoyan Yu, and Romanova Tatiana. 2010. “Mathematical Model and Efficient Algorithms for Object Packing Problem.” Computational Geometry 43 (5): 535–553. doi: 10.1016/j.comgeo.2009.12.003
  • Davies A. Paul, and Bischoff Eberhard E. 1999. “Weight Distribution Considerations in Container Loading.” European Journal of Operational Research 114 (3): 509–527. doi: 10.1016/S0377-2217(98)00139-8
  • de Mul, Jos. 2016. “Possible Printings: On 3D Printing, Database Ontology, and Open (Meta) Design.” In B. van den Berg, S. van der Hof, and E. Kosta (Eds.), 3D Printing: Legal, Philosophical and Economic Dimensions (pp. 87–98). Springer.
  • Denyer David, Tranfield David, and Van Aken Joan Ernst. 2008. “Developing Design Propositions through Research Synthesis.” Organization Studies 29 (3): 393–413. doi: 10.1177/0170840607088020
  • Dyckhoff Harald. 1990. “A Typology of Cutting and Packing Problems.” European Journal of Operational Research 44 (2): 145–159. doi: 10.1016/0377-2217(90)90350-K
  • Egeblad Jens. 2009. “Placement of Two-and Three-dimensional Irregular Shapes for Inertia Moment and Balance.” International Transactions in Operational Research 16 (6): 789–807. doi: 10.1111/j.1475-3995.2009.00703.x
  • Egeblad Jens, Nielsen Benny K., and Brazil Marcus. 2009. “Translational Packing of Arbitrary Polytopes.” Computational Geometry 42 (4): 269–288. doi: 10.1016/j.comgeo.2008.06.003
  • Egeblad Jens, Nielsen Benny K., and Odgaard Allan. 2007. “Fast Neighborhood Search for Two-and Three-dimensional Nesting Problems.” European Journal of Operational Research 183 (3): 1249–1266. doi: 10.1016/j.ejor.2005.11.063
  • Egeblad Jens, and Pisinger David. 2009. “Heuristic Approaches for the Two-and Three-dimensional Knapsack Packing Problem.” Computers & Operations Research 36 (4): 1026–1049. doi: 10.1016/j.cor.2007.12.004
  • Eisenbrand, Friedrich, Stefan Funke, Andreas Karrenbauer, Joachim Reichel, and Elmar Schömer. 2005. “Packing a Trunk: Now with a Twist!” Proceedings of the 2005 ACM Symposium on Solid and Physical Modeling, Boston, MA, USA (pp. 197–206): ACM.
  • Gardan Julien. 2016. “Additive Manufacturing Technologies: State of the Art and Trends.” International Journal of Production Research 54 (10): 3118–3132. doi: 10.1080/00207543.2015.1115909
  • Garey Michael R., and Johnson David S. 1979. Computers and Intractability: A Guide to the Theory of NP-Completeness. New York, NY, USA: W. H. Freeman & Co.
  • Gell-Mann, Murray. 2002. “What is Complexity?” In A. Quadrio Curzio and M. Fortis (Eds.), Complexity and Industrial Clusters: Dynamics and Models in Theory and Practice, Heidelberg, Germany (pp. 13–24): Springer.
  • Gibson, Ian, David Rosen, and Brent Stucker. 2014. Additive Manufacturing Technologies: 3D Printing, Rapid Prototyping, and Direct Digital Manufacturing. New York: Springer.
  • Glaser Barney, and Strauss Anselm. 1967. “Grounded Theory: The Discovery of Grounded Theory.” Sociology The Journal Of The British Sociological Association 12: 27–49.
  • Gogate A. S., and Pande S. S. 2008. “Intelligent Layout Planning for Rapid Prototyping.” International Journal of Production Research 46 (20): 5607–5631. doi: 10.1080/00207540701277002
  • Hague Richard, Campbell I., and Dickens Phill. 2003. “Implications on Design of Rapid Manufacturing.” Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 217 (1): 25–30.
  • Hague Richard, Mansour Saeed, and Saleh Naguib. 2004. “Material and Design Considerations for Rapid Manufacturing.” International Journal of Production Research 42 (22): 4691–4708. doi: 10.1080/00207840410001733940
  • Hemminki J., Leipala T., and Nevalainen O. 1998. “On-line Packing with Boxes of Different Sizes.” International Journal of Production Research 36 (8): 2225–2245. doi: 10.1080/002075498192869
  • Hur Sung-Min, Choi Kyung-Hyun, Lee Seok-Hee, and Chang Pok-Keun. 2001. “Determination of Fabricating Orientation and Packing in SLS Process.” Journal of Materials Processing Technology 112 (2): 236–243. doi: 10.1016/S0924-0136(01)00581-7
  • Ikonen, Ilkka, William E. Biles, Anup Kumar, John C. Wissel, and Rammohan K. Ragade. 1997. “A Genetic Algorithm for Packing Three-dimensional Non-convex Objects Having Cavities and Holes.” Proceedings of the 7th International Conference on Genetic Algorithms, East Lansing, MI, USA (pp. 591–598): Citeseer.
  • Iori Manuel, and Martello Silvano. 2010. “Routing Problems with Loading Constraints.” Top 18 (1): 4–27. doi: 10.1007/s11750-010-0144-x
  • Jacobs, Paul Francis. 1992. Rapid Prototyping & Manufacturing: Fundamentals of Stereolithography. Dearborn, MI, USA: Society of Manufacturing Engineers.
  • Joseph, Jiby, Omar Sharif, Ajit Kumar, Saurabh Gadkari, and Aditya Mohan. 2014. “Using Big Data for Machine Learning Analytics in Manufacturing.” Technical report, Tata Consultancy services.
  • Kagermann Henning, Lukas Wolf-Dieter, and Wahlster Wolfgang. 2011. “Industrie 4.0: Mit dem Internet der Dinge auf dem Weg zur 4. Industriellen Revolution.” VDI nachrichten 13: 11.
  • Karabulut, Korhan, and Mustafa Murat İnceoğlu. 2004. “A Hybrid Genetic Algorithm for Packing in 3d with Deepest Bottom Left with Fill Method.” International Conference on Advances in Information Systems, Berlin, Heidelberg (pp. 441–450). Springer.
  • Kotthoff Lars. 2014. “Algorithm Selection for Combinatorial Search Problems: A Survey.” Ai Magazine35 (3): 48–60. doi: 10.1609/aimag.v35i3.2460
  • Lawler Eugene L., Lenstra Jan Karel, Kan Alexander H. G. Rinnooy, and Shmoys David B. 1993. “Sequencing and Scheduling: Algorithms and Complexity.” Handbooks in Operations Research and Management Science 4: 445–522. doi: 10.1016/S0927-0507(05)80189-6
  • Lee Yusin, Fang Chung, Tsou You-Ren, Lu Li-Sin, and Yang Cheng-Tao. 2009. “A Packing Algorithm for Three-dimensional Convex Particles.” Granular Matter 11 (5): 307–315. doi: 10.1007/s10035-009-0133-7
  • Liu Xiao, Liu Jia-min, and Cao An-xi, et al. 2015. “HAPE3D-a New Constructive Algorithm for the 3D Irregular Packing Problem.” Frontiers of Information Technology & Electronic Engineering 16 (5): 380–390. doi: 10.1631/FITEE.1400421
  • Lutters E., ten Dam D., and Faneker T. 2012. “3D Nesting of Complex Shapes.” Procedia CIRP 3: 26–31. doi: 10.1016/j.procir.2012.07.006
  • Mani Mahesh, Lane Brandon M., Donmez M. Alkan, Feng Shaw C., and Moylan Shawn P. 2017. “A Review on Measurement Science Needs for Real-time Control of Additive Manufacturing Metal Powder Bed Fusion Processes.” International Journal of Production Research 55 (5): 1400–1418. doi: 10.1080/00207543.2016.1223378
  • Nyaluke Adriano, Nasser Bahaa, Leep Herman R., and Parsaei Hamid R. 1996. “Rapid Prototyping Work Space Optimization.” Computers & Industrial Engineering 31 (1–2): 103–106. doi: 10.1016/0360-8352(96)00202-1
  • Pisinger David. 2002. “Heuristics for the Container Loading Problem.” European Journal of Operational Research 141 (2): 382–392. doi: 10.1016/S0377-2217(02)00132-7
  • Psarra, Sophia, and Tadeusz Grajewski. 2001. “Describing Shape and Shape Complexity using Local Properties.” In J. Peponis and J. Wineman (Eds.), Proceedings 3RD International Space Syntax Symposium, Atlanta, USA (28-1). Citeseer.
  • Ravindran Ashwin. 2003. “An Octree Based Genetic Algorithm for Three-dimensional Packing of Irregular Parts.” PhD diss., University of Cincinnati.
  • Ross, Peter. 2005. “Hyper-heuristics.” In E. K. Burke and G. Kendall (Eds.), Search Methodologies: Introductory Tutorials in Optimization and Decision Support Techniques (pp. 529–556). Kluwer, Boston, MA: Springer.
  • Ruffo M, and Hague Richard. 2007. “Cost Estimation for Rapid Manufacturing - Simultaneous Production of Mixed Components using Laser Sintering.” Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture 221 (11): 1585–1591. doi: 10.1243/09544054JEM894
  • Scheithauer G., Stoyan Yu. G., and Romanova T. Ye. 2005. “Mathematical Modeling of Interactions of Primary Geometric 3D Objects.” Cybernetics and Systems Analysis 41 (3): 332–342. doi: 10.1007/s10559-005-0067-y
  • Schmenner Roger W., and Swink Morgan L. 1998. “On Theory in Operations Management.” Journal of Operations Management 17 (1): 97–113. doi: 10.1016/S0272-6963(98)00028-X
  • Schwab, Klaus. 2017. The Fourth Industrial Revolution. New York: Crown Business.
  • Slansky Dick. 2008. “Integrating PLM with the Shop Floor: Validating As-Built to As-Designed.” ARC Advisory Group.
  • Spies Klaus. 1957. “Die Zwischenformen beim Gesenkschmieden und ihre Herstellung durch Formwalzen.” PhD diss., Springer-Verlag; Düsseldorf.
  • Stafford D. Shane, and Jackson Thomas L. 2010. “Using Level Sets for Creating Virtual Random Packs of Non-spherical Convex Shapes.” Journal of Computational Physics 229 (9): 3295–3315. doi: 10.1016/j.jcp.2010.01.003
  • Stoyan Y. G., Gil M., Pankratov A. V., and Scheithauer G. 2004. “Packing Non-convex Polytopes into a Parallelepiped.” Preprint MATH-NM-06-2004: Technische Universität of Dresden.
  • Stoyan Y. G., Gil N. I., Scheithauer G., Pankratov A., and Magdalina I. 2005. “Packing of Convex Polytopes into a Parallelepiped.” Optimization 54 (2): 215–235. doi: 10.1080/02331930500050681
  • Tavakkoli-Moghaddam Reza, Moslehi G., Vasei M., and Azaron Amir. 2005. “Optimal Scheduling for a Single Machine to Minimize the Sum of Maximum Earliness and Tardiness Considering Idle Insert.” Applied Mathematics and Computation 167 (2): 1430–1450. doi: 10.1016/j.amc.2004.08.022
  • Tuck Christopher John, Hague Richard J. M., Ruffo Massimiliano, Ransley Michelle, and Adams P. 2008. “Rapid Manufacturing Facilitated Customization.” International Journal of Computer Integrated Manufacturing 21 (3): 245–258. doi: 10.1080/09511920701216238
  • van Aken Joan, Chandrasekaran Aravind, and Halman Joop. 2016. “Conducting and Publishing Design Science Research: Inaugural Essay of the Design Science Department of the Journal of Operations Management.” Journal of Operations Management 47: 1–8. doi: 10.1016/j.jom.2016.06.004
  • Verkhoturov Mikhail, Petunin Alexander, Verkhoturova Galina, Danilov Konstantin, and Kurennov Dmitry. 2016. “The 3D Object Packing Problem into a Parallelepiped Container Based on Discrete-Logical Representation.” IFAC-PapersOnLine 49 (12): 1–5. doi: 10.1016/j.ifacol.2016.07.540
  • Vokurka Robert J., and O'Leary-Kelly Scott W. 2000. “A Review of Empirical Research on Manufacturing Flexibility.” Journal of Operations Management 18 (4): 485–501. doi: 10.1016/S0272-6963(00)00031-0
  • Wäscher Gerhard, Haußner Heike, and Schumann Holger. 2007. “An Improved Typology of Cutting and Packing Problems.” European Journal of Operational Research 183 (3): 1109–1130. doi: 10.1016/j.ejor.2005.12.047
  • Weller Christian, Kleer Robin, and Piller Frank T. 2015. “Economic Implications of 3D Printing: Market Structure Models in Light of Additive Manufacturing Revisited.” International Journal of Production Economics 164: 43–56. doi: 10.1016/j.ijpe.2015.02.020
  • Whetten David A. 1989. “What Constitutes a Theoretical Contribution?.” Academy of Management Review 14 (4): 490–495. doi: 10.5465/amr.1989.4308371
  • Wu, Shuohao, Michael Kay, Russell King, Anita Vila-Parrish, and Donald Warsing. 2014. “Multi-objective Optimization of 3D Packing Problem in Additive Manufacturing.” In IIE Annual Conference. Proceedings, (p. 1485). Institute of Industrial and Systems Engineers (IISE).

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.