Multidimensional cube packing

Algorithmica (New York)

Volumn 40, Issue 3, 2004, Pages 173-187

  Kohayakawa, Yoshiharu ^a   Miyazawa, Flavio Keidi ^b   Raghavan, Prabhakar ^c   Wakabayashi, Yoshiko ^a  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

^b UNIVERSITY OF CAMPINAS   (Brazil)

^c Verity Inc   (United States)

Author keywords

Approximation algorithms; Asymptotic performance; Multidimensional bin packing

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; COMPUTER SCIENCE; DISTRIBUTED COMPUTER SYSTEMS; MATHEMATICAL MODELS; OPERATIONS RESEARCH; PROBLEM SOLVING; SYSTEMS ANALYSIS; THEOREM PROVING;

APPROXIMATION ALGORITHMS; ASYMPTOTIC PERFORMANCE; CUBE PACKING; MULTIDIMENSIONAL BIN PACKING;

ALGORITHMS;

EID: 21044456962     PISSN: 01784617     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00453-004-1102-5     Document Type: Article

References (18)

1. N. Bansal and M. Sviridenko, New approximability and inapproximability results for 2-dimensional bin packing. In Proc. 15th ACM-SIAM Symposium on Discrete Algorithms, pages 189-196, 2004.
2. A. Caprara. Packing 2-dimensional bins in harmony. In Proc. 43rd IEEE Annual Symposium on Foundations of Computer Science, pages 490-499, Vancouver, 2002.
3. F. R. K. Chung, M. R. Garey, and D. S. Johnson. On packing two-dimensional bins. SIAM Journal on Algebraic and Discrete Methods, 3:66-76, 1982.
4. E. G. Coffman, Jr., M. R. Garey, and D. S. Johnson. Approximation algorithms for bin packing - an updated survey. In G. Ausiello, M. Lucertini, and P. Serafini, editors. Algorithms Design for Computer System Design, pages 49-106. Spring-Verlag, New York, 1984.
5. E. G. Coffman, Jr., M. R. Garey, and D. S. Johnson. Approximation algorithms for bin packing: a survey. In D. Hochbaum, editor, Approximation Algorithms for NP-Hard Problems, chapter 2, pages 46-93. PWS, Boston, MA, 1997.
6. D. Coppersmith and P. Raghavan. Multidimensional on-line bin packing: algorithms and worst-case analysis. Operations Research Letters, 8(1):17-20, 1989.
7. J. R. Correa and C. Kenyon. Approximation schemes for multidimensional packing. In Proc. 15th ACM-SIAM Symposium on Discrete Algorithms, pages 179-188, 2004.
8. J. Csirik and A. van Vliet. An on-line algorithm for multidimensional bin packing. Operations Research Letters, 13:149-158, 1993.
9. W. Fernandez de la Vega and G. S. Lueker. Bin packing can be solved within 1 + ε; in linear time. Combinatorica, 1(4):349-355, 1981.
10. C. E. Ferreira, F. K. Miyazawa, and Y. Wakabayashi. Packing of squares into squares. Pesquisa Operacional, 19(2):223-237, 1999.
11. N. Karmarkar and R. M. Karp. An efficient approximation scheme for the one-dimensional bin packing problem. In Proc. 23rd IEEE Annual Symposium on Foundations of Computer Science, pages 312-320, Los Angeles, 1982.
12. Y. Kohayakawa, F. K. Miyazawa, P. Raghavan, and Y. Wakabayashi. Multidimensional cube packing. In J. Szwarcfiter and S. W. Song, editors, Electronic Notes of Discrete Mathematics, volume 7, pages 4 (electronic). Elsevier Science, Amsterdam, 2001. Presented at the Brazilian Symposium on Graphs and Combinatorics.
13. J. Y.-T. Leung, T. W. Tam, C. S. Wong, G. H. Young, and F. Y. L. Chin. Packing squares into a square. Journal of Parallel and Distributed Computing, 10:271-275, 1990.
14. K. Li and K.-H. Cheng. A generalized harmonic algorithm for on-line multidimensional bin packing. Technical Report UH-CS-90-2, University of Houston, January 1990.
15. A. Meir and L. Moser. On packing of squares and cubes. Journal of Combinatorial Theory, Series A, 5:116-127, 1968.
16. F. K. Miyazawa and Y. Wakabayashi. Cube packing. In Proc. 4th Latin American Theoretical Informatics, pages 58-67, Punta del Este, Uruguay, 2000. Volume 1776 of Lecture Notes in Computer Science. Springer-Verlag, Berlin. 2000.
17. F. K. Miyazawa and Y. Wakabayashi. Parametric on-line algorithms for packing rectangles and boxes. European Journal on Operational Research, 150:281-292, 2003.
18. S. S. Seiden and R. van Stee. New bounds for multi-dimensional packing. In Proc. 13th ACM-SIAM Symposium on Discrete Algorithms, pages 486-495, 2002.