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The assignment problem: further exploring parallelism

Published:18 January 2010Publication History
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Abstract

The linear assignment problem requires the determination of an optimal permutation vector for the assignment of tasks to agents. Even the backtracking implementation supports a rather powerful bounding function. An earlier article discussed the fundamental problem and executing the backtracking in parallel. This article addresses the branch-and-bound approach and shows transforming that into a parallel algorithm.

References

  1. Timothy J. Rolfe, "The Assignment Problem: Exploring Parallelism", inroads, Vol. 41, No. 2 (June 2009), pp. 127--31. Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. The complete chapter on Branch and Bound from Sartaj Sahni's Data Structures, Algorithms, and Applications in Java (Silicon Press, 2004) is at http://www.cise.ufl.edu/~sahni/dsaaj/chapters.htm Google ScholarGoogle ScholarDigital LibraryDigital Library

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          cover image ACM SIGCSE Bulletin
          ACM SIGCSE Bulletin  Volume 41, Issue 4
          December 2009
          205 pages
          ISSN:0097-8418
          DOI:10.1145/1709424
          Issue’s Table of Contents

          Copyright © 2010 Author

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          Association for Computing Machinery

          New York, NY, United States

          Publication History

          • Published: 18 January 2010

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