Abstract
In this paper an on-line algorithm for the Rectangle Packing Problem is presented. The method is designed to be able to accept or reject incoming boxes to maximize efficiency. We provide a wide computational analysis showing the behavior of the proposed algorithm as well as a comparison with existing off-line heuristics.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Beasley, J. E.: An exact two-dimensional non-guillotine cutting tree search procedures. Operation Research 33 (1985) 49–64
Borodin, A., El-Yaniv, R.: Online computation and competitive analysis. Cambridge University Press (1998)
Blitz, D. Van Vliet, A., Woeginger, G. J.: Lower bounds on the asymptotic worst case ratio of the on-line bin packing problem. Unpublished manuscript (1996)
Confessore, G., Dell’Olmo, P., Giordani, S.: Complexity and approximation results for scheduling multiprocessor tasks on a ring. Discrete Applied Mathematics, (to appear)
Csirik, J., Van Vliet, A.: An on-line algorithm for multidimensional bin packing. Operations Research Letters 13 (1993) 149–158
Drozdowski, M.: Scheduling multiprocessor task. An overview. European Journal of Operations Research 94 (1996) 215–230
Fiat, A. (ed.), Woeginger, G. J. (ed): Online Algorithms: The State of the Art. Lecture Notes in Computer Science, Vol. 1442. Springer-Verlag, Berlin Heidelberg (1998)
Haessler, R. W., Sweeney, P. E.: Cutting stock problems and solution procedures. European Journal of Operational Research 54 (1991) 141–150
Hochbaum, D. S., Maass, W.: Approximation schemes for covering and packing problems in image processing and VLSI. Journal of the Association for Computing Machinery 32(1) (1985) 130–136
Hopper, E., Turton, B. C. H.: An empirical investigation of meta-heuristic and heuristic algorithms for a 2D packing problem. European Journal of Operational Research 1281 (2001) 34–57
Hopper, E., Turton, B. C. H.: A Review of the Application of Meta-Heuristic Algorithms to 2D Strip Packing Problems. Artificial Intelligence Review 164 (2001) 257–300
Lee, C. C., Lee, D. T.: A simple on-line bin packing algorithm, Journal of ACM 32 (1985) 562–572
Leung, J., Tam, T., Wong, C. S., Young, G., Chin, F.: Packing squares into square. Journal of Parallel and Distributed Computing 10 (1990) 271–275
Lodi, A., Martello, S., Vigo, D.: Recent advances on two-dimensional bin packing problems. Discrete Applied Mathematics 123 (2002) 379–396
Lodi, A., Martello, S., Monaci, M.: Two-dimensional packing problems: A survey. European Journal of Operational Research 141 (2002) 241–252
Imreh, C.: Online strip packing with modifiable boxes. Operation Research Letters 29 (2001), 79–85
Shmoys, D., Wien, J., Williamson, D. P.: Scheduling parallel machines on-line. SIAM Journal of Computing 24 (1995) 1313–1331
Wu, Y. L., Huang, W., Lau, S. C., Wong, C. K., Young, G. H.: An effective quasi-human based heuristic for solving the rectangle packing problem. European Journal of Operational Research 141 (2002) 341–358
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Caramia, M., Giordan, S., Iovanella, A. (2003). An On-Line Algorithm for the Rectangle Packing Problem with Rejection. In: Jansen, K., Margraf, M., Mastrolilli, M., Rolim, J.D.P. (eds) Experimental and Efficient Algorithms. WEA 2003. Lecture Notes in Computer Science, vol 2647. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44867-5_5
Download citation
DOI: https://doi.org/10.1007/3-540-44867-5_5
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-40205-3
Online ISBN: 978-3-540-44867-9
eBook Packages: Springer Book Archive