An agent-based approach to the two-dimensional guillotine bin packing problem
The two-dimensional guillotine bin packing problem consists of packing, without overlap, small rectangular items into the smallest number of large rectangular bins where items are obtained via guillotine cuts. This problem is solved using a new guillotine bottom left (GBL) constructive heuristic and its agent-based (A-B) implementation. GBL, which is sequential, successively packs items into a bin and creates a new bin every time it can no longer fit any unpacked item into the current one. A-B, which is pseudo-parallel, uses the simplest system of artificial life. This system consists of active agents dynamically interacting in real time to jointly fill the bins while each agent is driven by its own parameters, decision process, and fitness assessment. A-B is particularly fast and yields near-optimal solutions. Its modularity makes it easily adaptable to knapsack related problems.
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Dowsland, Kathryn A., 1993. "Some experiments with simulated annealing techniques for packing problems," European Journal of Operational Research, Elsevier, vol. 68(3), pages 389-399, August.
- Silvano Martello & Daniele Vigo, 1998. "Exact Solution of the Two-Dimensional Finite Bin Packing Problem," Management Science, INFORMS, vol. 44(3), pages 388-399, March.
- repec:spr:compst:v:60:y:2004:i:2:p:311-329 is not listed on IDEAS
- Wascher, Gerhard & Hau[ss]ner, Heike & Schumann, Holger, 2007. "An improved typology of cutting and packing problems," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1109-1130, December.
- Sándor P. Fekete & Jörg Schepers, 2004. "A General Framework for Bounds for Higher-Dimensional Orthogonal Packing Problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 60(2), pages 311-329, October.
- Mes, Martijn & van der Heijden, Matthieu & van Harten, Aart, 2007. "Comparison of agent-based scheduling to look-ahead heuristics for real-time transportation problems," European Journal of Operational Research, Elsevier, vol. 181(1), pages 59-75, August.
- Lodi, Andrea & Martello, Silvano & Vigo, Daniele, 1999. "Approximation algorithms for the oriented two-dimensional bin packing problem," European Journal of Operational Research, Elsevier, vol. 112(1), pages 158-166, January.
- Beasley, J. E., 2004. "A population heuristic for constrained two-dimensional non-guillotine cutting," European Journal of Operational Research, Elsevier, vol. 156(3), pages 601-627, August.
- Lodi, Andrea & Martello, Silvano & Monaci, Michele, 2002. "Two-dimensional packing problems: A survey," European Journal of Operational Research, Elsevier, vol. 141(2), pages 241-252, September.
- Sergei Parinov, 1999. "Toward a Theory and Agent-Based Model of the Networked Economy," Russian Working Paper Archive for Economists and Sociologists 827080, The Institute of Economics and Industrial Engineering of SD of RAS.
- Hopper, E. & Turton, B. C. H., 2001. "An empirical investigation of meta-heuristic and heuristic algorithms for a 2D packing problem," European Journal of Operational Research, Elsevier, vol. 128(1), pages 34-57, January.
When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:192:y:2009:i:3:p:767-781. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Shamier, Wendy)
If references are entirely missing, you can add them using this form.