New Heuristic for Three Dimensional Strip Packing Problem
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Transcript of New Heuristic for Three Dimensional Strip Packing Problem
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NEW HEURISTIC FOR THREE DIMENSIONAL STRIP PACKING PROBLEMHa Thai Duong Supervisor: Edmund Burke, Graham Kendall
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Overview Problem Definition Literature Review Currently Used Heuristic Tested Result Conclusion
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Problem Definition Pack all boxes into a smallest open
container Min (Optimal Volume/Actual Volume)
Open Container
Boxes
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Problem Definition Logistic
Container Storage
Cutting Material Space allocation
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Problem Definition Dyckhoff (1990)
3/B/O/F, 3/B/O/M or 3/B/O/R 3: three-dimensional, B/O: one
object/container and selection of items, F: few items of different types, M: many items of many different types, R: many items of relatively few different types).
Wascher et al. (2007) Three-dimensional cuboids open-
dimension-problem
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Literature Review Exact method
Dudzinski, K. and Walukiewicz, S., 1987 Heuristic
Heuristic Heuristic & Search Method
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Literature Review Layer Building
Moura and Oliveira, 2005 A. Bortfeldt and D. Mack 2007
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Literature Review Box Arrangement
Bortfeldt and Gehring, 1998 Eley 2002 Bortfeldt et al., 2003
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Literature Review Best Fit
E. K. Burke, G. Kendall, and G. Whitwell. 2004 S. Allen E. K. Burke G. Kendall
And manymore ...
GAP
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Literature Review Heuristic & Search Method
Tabu Search T.G. Crainic, G. Perboli and R. Tadei 2009 E.E. Zachariadis, C.D. Tarantilis and C.T.
Kiranoudis 2009 Genetic Algorithms
Gehring, H., Bortfeldt, A., 2002. ....
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Literature Review Each heuristic suitable for some cases Constructive heuristic is more important
than search method Addition Constraints:
Orientation constraint Weight distribution Loading stability
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Currently Used Heuristic Max Surround Touching Min Rotation Score Min Volume Percentage Max Contact Area & Max Volume (S.
Allen E. K. Burke G. Kendall)
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Max Surround Touching Touching top of the box
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Max Surround Touching
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Max Surround Touching Touching top of the box
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Min Rotation Score Box with less rotation is harder to pack Packing box with min rotation score Rotation Score
(Number Possible Rotation * Number Box)/ Total Number Box
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Min Rotation Score
No Rotation
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Min Rotation Score
No Rotation
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Min Rotation Score
No Rotation
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Min Rotation Score
No Rotation
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Min Rotation Score
No Rotation
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Min Volume Percentage Optimal Volume/ Actual Volume
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Min Volume Percentage
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Min Volume Percentage
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Tested Result BR dataset – OR Library
BR10 – 87.2% (Best 87.6)
Viewer created by Sam Allen
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Conclusion & Future Work New heuristic particular good in some
cases Multiple heuristic run Different data set Application hyper-heuristic
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References A New Hybrid Placement Strategy for the
Three-Dimensional Strip Packing Problem (S. Allen E. K. Burke G. Kendall)
An improved typology of cutting and packing problems Gerhard Wa¨scher *, Heike Hausner, Holger Schumann
A heuristic for the three-dimensional strip packing problem, Andreas Bortfeldt, Daniel Mack
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Thank you
Questions