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A New Parallel Approach for Multi-dimensional Packing Problems

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Book cover Parallel Processing and Applied Mathematics (PPAM 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2328))

Abstract

Significant reduction of computation time of algorithms based on data organized as vectors and matrices is possible when pipeline processing is applied for packing and cutting problems. Data representation by spatial occupancy enumeration can be used to describe geometrical entities. The computer data representation provides the data that can be efficiently computed in vector computers. Solving of packing problems on a vector computer consists in designing procedures for manipulation on matrices defining the allocation space and geometrical entities to be assigned to it. It results in ability to create and rearrange a layout in a short time. Using this parallel computational geometry technique a family of methods based on controlled reorganization of the solution can be created. In this paper, the general idea of the approach and arising problems are presented. Computational results for a simplified version of the method complete the paper.

Partially supported by KBN grant 8T11A01618

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Błazewicz, J., Walkowiak, R. (2002). A New Parallel Approach for Multi-dimensional Packing Problems. In: Wyrzykowski, R., Dongarra, J., Paprzycki, M., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2001. Lecture Notes in Computer Science, vol 2328. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48086-2_21

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  • DOI: https://doi.org/10.1007/3-540-48086-2_21

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43792-5

  • Online ISBN: 978-3-540-48086-0

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