A multi-faced buildup algorithm for three-dimensional packing problems

This paper provides a new approach to solving the three-dimensional packing problem. The heuristic developed uses a multi-faced buildup technique in the packing procedure for which there is no requirement for packed boxes to form flat layers. The basic algorithm is then augmented by a Look-ahead strategy. Experimental results indicate an average packing utilization of 87.8% which improve current benchmarks significantly. The new approaches given here add to heuristics currently available.

[1]  E. E. Bischoff,et al.  Issues in the development of approaches to container loading , 1995 .

[2]  Harald Dyckhoff,et al.  Cutting and Packing in Production and Distribution , 1992 .

[3]  J. A. George,et al.  A heuristic for packing boxes into a container , 1980, Comput. Oper. Res..

[4]  Harald Dyckhoff,et al.  A typology of cutting and packing problems , 1990 .

[5]  Kam-Hoi Cheng,et al.  On Three-Dimensional Packing , 1990, SIAM J. Comput..

[6]  Andrew Lim,et al.  The container loading problem , 2005, SAC '05.

[7]  E. Bischoff,et al.  An Application of the Micro to Product Design and Distribution , 1982 .

[8]  C. K. Chua,et al.  Constraint‐based spatial representation technique for the container packing problem , 1998 .

[9]  Mauro Dell'Amico,et al.  Annotated Bibliographies in Combinatorial Optimization , 1997 .

[10]  Bryan Kok Ann Ngoi,et al.  A fast spatial representation method (applied to fixture design) , 1993 .

[11]  Loris Faina A global optimization algorithm for the three-dimensional packing problem , 2000, Eur. J. Oper. Res..

[12]  Pius J. Egbelu,et al.  A heuristic approach to the three-dimensional cargo-loading problem , 1989 .

[13]  J. A. George,et al.  A Method for Solving Container Packing for a Single Size of Box , 1992 .

[14]  Kin Keung Lai,et al.  Container packing in a multi-customer delivering operation , 1998 .

[15]  Eberhard E. Bischoff,et al.  A comparative evaluation of heuristics for container loading , 1990 .

[16]  W. Dowsland Three-dimensional packing—solution approaches and heuristic development , 1991 .

[17]  M. Meyer,et al.  A computer-based heuristic for packing pooled shipment containers , 1990 .

[18]  Daniele Vigo,et al.  The Three-Dimensional Bin Packing Problem , 2000, Oper. Res..