1. NEW HEURISTIC FOR THREE DIMENSIONAL STRIP PACKING PROBLEM Ha Thai Duong Supervisor: Edmund Burke, Graham Kendall

2. Overview  Problem Definition  Literature Review  Currently Used Heuristic  Tested Result  Conclusion

3. Problem Definition  Pack all boxes into a smallest open container  Min (Optimal Volume/Actual Volume) Open Container Boxes

4. Problem Definition  Logistic  Container  Storage  Cutting Material  Space allocation

5. 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

6. Literature Review  Exact method  Dudzinski, K. and Walukiewicz, S., 1987  Heuristic  Heuristic  Heuristic & Search Method

7. Literature Review  Layer Building  Moura and Oliveira, 2005  A. Bortfeldt and D. Mack 2007

8. Literature Review  Box Arrangement  Bortfeldt and Gehring, 1998  Eley 2002  Bortfeldt et al., 2003

9. Literature Review  Best Fit  E. K. Burke, G. Kendall, and G. Whitwell. 2004  S. Allen E. K. Burke G. Kendall  And manymore... GAP

10. 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. ....

11. Literature Review  Each heuristic suitable for some cases  Constructive heuristic is more important than search method  Addition Constraints:  Orientation constraint  Weight distribution  Loading stability

12. Currently Used Heuristic  Max Surround Touching  Min Rotation Score  Min Volume Percentage  Max Contact Area & Max Volume (S. Allen E. K. Burke G. Kendall)

13. Max Surround Touching  Touching top of the box

14. Max Surround Touching

15.  Touching top of the box

16. 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

17. Min Rotation Score No Rotation

18. Min Rotation Score No Rotation

19. Min Rotation Score No Rotation

20. Min Rotation Score No Rotation

21. Min Rotation Score No Rotation

22. Min Volume Percentage  Optimal Volume/ Actual Volume

23. Min Volume Percentage

25. Tested Result  BR dataset – OR Library  BR10 – 87.2% (Best 87.6) Viewer created by Sam Allen

26. Conclusion & Future Work  New heuristic particular good in some cases  Multiple heuristic run  Different data set  Application hyper-heuristic

27. 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

28. Thank you Questions