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Improving the Efficiency of Branch and Bound Algorithms for the Simple Plant Location Problem

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Algorithm Engineering (WAE 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2141))

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Abstract

The simple plant location problem is a well-studied problem in combinatorial optimization. It is one of deciding where to locate a set of plants so that a set of clients can be supplied by them at the minimum cost. This problem often appears as a subproblem in other combinatorial problems. Several branch and bound techniques have been developed to solve this problem. In this paper we present some techniques that enhance the performance of branch and bound algorithms. Computational experiments show that the new algorithms thus obtained generate less than 60% of the number of subproblems generated by branch and bound algorithms, and in certain cases require less than 10% of the execution times required by conventional branch and bound algorithms.

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References

  1. J. E. Beasley. OR-Library, http://mscmga.ms.ic.ac.uk/info.html

  2. V. L. Beresnev. On a Problem of Mathematical Standardization Theory. Upravliajemyje Sistemy 11, 43–54, 1973 (in Russian).

    Google Scholar 

  3. V. L. Beresnev, E. Kh. Gimadi, V. T. Dementyev. Extremal Standardization Problems, Novosibirsk, Nauka, 1978 (in Russian).

    Google Scholar 

  4. N. Christofides. Graph Theory: An Algorithmic Approach. Academic Press Inc. Ltd., London, 1975.

    MATH  Google Scholar 

  5. G. Cornuejols, G. L. Nemhauser, and L. A. Wolsey. The Uncapacitated Facility Location Problem. Ch.3, Discrete Location Theory, R. L. Francis and P. B. Mirchandani (eds.), Wiley-Interscience, New York, 1990.

    Google Scholar 

  6. P. M. Dearing, P. L. Hammer, B. Simeone, Boolean and Graph Theoretic Formulations of the Simple Plant Location Problem. Transportation Science 26, 138–148, 1992.

    Article  MATH  Google Scholar 

  7. B. Goldengorin. Requirements of Standards: Optimization Models and Algorithms. ROR, Hoogezand, The Netherlands, 1995.

    Google Scholar 

  8. B. Goldengorin, D. Ghosh, and G. Sierksma. Equivalent Instances of the Simple Plant Location Problem. SOM Research Report-00A54, 2000.

    Google Scholar 

  9. P. L. Hammer. Plant Location — A Pseudo-Boolean Approach. Israel Journal of Technology 6, 330–332, 1968.

    Google Scholar 

  10. P. C. Jones, T. J. Lowe, G. Muller, N. Xu, Y. Ye and J. L. Zydiak. Specially Structured Uncapacitated Facility Location Problems. Operations Research 43, 661–669, 1995.

    Article  MATH  MathSciNet  Google Scholar 

  11. D. W. Pentico. The Discrete Two-Dimensional Assortment Problem. Operations Research 36, 324–332, 1988.

    Article  MATH  MathSciNet  Google Scholar 

  12. C. S. Revelle and G. Laporte. The Plant Location Problem: New Models and Research Prospects. Operations Research 44, 864–874, 1996.

    Article  MATH  Google Scholar 

  13. A. Tripathy, Süral, and Y. Gerchak. Multidimensional Assortment Problem with an Application. Networks 33, 239–245, 1999.

    Article  MATH  MathSciNet  Google Scholar 

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© 2001 Springer-Verlag Berlin Heidelberg

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Goldengorin, B., Ghosh, D., Sierksma, G. (2001). Improving the Efficiency of Branch and Bound Algorithms for the Simple Plant Location Problem. In: Brodal, G.S., Frigioni, D., Marchetti-Spaccamela, A. (eds) Algorithm Engineering. WAE 2001. Lecture Notes in Computer Science, vol 2141. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44688-5_9

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  • DOI: https://doi.org/10.1007/3-540-44688-5_9

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42500-7

  • Online ISBN: 978-3-540-44688-0

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