Two dimensional rectilinear polygon packing using genetic algorithm with a hierarchical chromosome

This paper proposes a new placement method for two dimensional rectilinear polygons. The proposed method is based on the idea of corner junction method and uses only genetic algorithm approach with a new chromosome structure to pack rectilinear polygons onto container. The proposed method is implemented by enhancing the double chromosome structure to a hierarchical chromosome structure. It is a novel approach for solving the layout problem of rectilinear polygons using only genetic algorithm. Experimental results show the proposed method is succeeded in placement of some complicated two dimensional rectilinear polygons in feasible time.

[1]  Graham Kendall,et al.  A New Placement Heuristic for the Orthogonal Stock-Cutting Problem , 2004, Oper. Res..

[2]  K. Dowsland,et al.  Solution approaches to irregular nesting problems , 1995 .

[3]  Saeed Bagheri Shouraki,et al.  Optimizing Allocation of Two Dimensional Irregular Shapes using an Agent Based Approach , 2007 .

[4]  Mitsukuni Matayoshi The 2D strip packing problem: A new approach with verification by EA , 2010, 2010 IEEE International Conference on Systems, Man and Cybernetics.

[5]  Oliver Vornberger,et al.  Parallel Genetic Packing of Rectangles , 1990, PPSN.

[6]  D. J. Smith,et al.  A Study of Permutation Crossover Operators on the Traveling Salesman Problem , 1987, ICGA.

[7]  Cheng-Yan Kao,et al.  On solving rectangle bin packing problems using genetic algorithms , 1994, Proceedings of IEEE International Conference on Systems, Man and Cybernetics.

[8]  Ender Özcan,et al.  Bidirectional best-fit heuristic for orthogonal rectangular strip packing , 2009, Ann. Oper. Res..

[9]  E. Hopper,et al.  An empirical investigation of meta-heuristic and heuristic algorithms for a 2D packing problem , 2001, Eur. J. Oper. Res..

[10]  Mitsukuni Matayoshi A new packing method for two dimensional rectilinear polygons using genetic algorithm , 2011, GECCO '11.

[11]  H. Gea,et al.  Two-dimensional packing problems using genetic algorithms , 2005, Engineering with Computers.

[12]  Mitsukuni Matayoshi Double chromosome GA with Corner Junction for solving the 2D strip packing problem , 2010, IECON 2010 - 36th Annual Conference on IEEE Industrial Electronics Society.

[13]  Mitsukuni Matayoshi Corner junction: a new strategy for 2d strip packing , 2010, GECCO '10.

[14]  Ping Chen,et al.  Two-dimensional packing for irregular shaped objects , 2003, 36th Annual Hawaii International Conference on System Sciences, 2003. Proceedings of the.