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Bin-packing in 1.5 dimension

  • Conference paper
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SWAT 88 (SWAT 1988)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 318))

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Abstract

We propose and motivate a new variant of the wellknown two-dimensional binpacking problem (orthogonal and oriented rectangle packing). In our model, we are allowed to cut a rectangle and move the parts horizontally. We describe two relatively simple algorithms for this problem and determine their asymptotic performance ratios. For the best algorithm, we show that this ratio is between 1.302... and 4/3.

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References

  1. Baker, B.S., Brown, D.J. and Katseff, H.P., A 5/4 algorithm for two-dimensional packing, J. of Algorithms, 2 (1981), p. 348–368.

    Google Scholar 

  2. Baker, B.S. and Coffman Jr., E.G., A tight asymptotic bound for next-fit-decreasing binpacking, SIAM J. Alg. Disc. Meth., 2 (1981), p. 147–152.

    Google Scholar 

  3. Baker, B.S., Coffman Jr., E.G. and Rivest, R.L., Orthogonal packings in two dimensions, SIAM J. Comput., 4 (1980), p. 846–855.

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  4. Baker, B.S. and Schwarz, J.S., Shelf algorithms for two-dimensional packing problems, SIAM J. Comput., 3 (1983), p. 508–525.

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  5. Coffman Jr., E.G., Garey, M.R. and Johnsen, D.S., Approximation algorithms for bin-packing — An updated survey, Technical report, AT&T Bell Laboratories, Murray Hill, New Jersey.

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  6. Coffman Jr., E.G., Garey, M.R., Johnsen, D.S. and Tarjan, R.E., Performance bounds for level-oriented two-dimensional packing algorithms, SIAM J. Comput., 4 (1981), p. 808–826.

    Google Scholar 

  7. Høyland, S.O., Kuttepakking — Ein ny pakkemodell, Hovudoppgåve i informatikk, Dept. of Informatics, University of Bergen (1985) (in Norwegian).

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Authors and Affiliations

  1. Department of Informatics, University of Bergen, Allegt. 55, N-5007, Bergen

    Sven-Olai Høyland

Authors
  1. Sven-Olai Høyland
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Rolf Karlsson Andrzej Lingas

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© 1988 Springer-Verlag Berlin Heidelberg

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Høyland, SO. (1988). Bin-packing in 1.5 dimension. In: Karlsson, R., Lingas, A. (eds) SWAT 88. SWAT 1988. Lecture Notes in Computer Science, vol 318. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-19487-8_14

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  • DOI: https://doi.org/10.1007/3-540-19487-8_14

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19487-3

  • Online ISBN: 978-3-540-39288-0

  • eBook Packages: Springer Book Archive

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