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Minimum Spanning Table and Optimal Expansion of Competence Set

Author

Listed:
  • J. W. Feng

    (Nanjing University of Science and Technology)

  • P. L. Yu

    (University of Kansas)

Abstract

Each directed graph with asymmetric costs defined over its arcs can be represented by a matrix or table, called an expansion table. We explore first the basic properties of cycles and spanning tables of expansion tables, which correspond to the cycles and spanning trees of the directed graph. Then, we derive an algorithm to find a minimum spanning table which corresponds to a minimum spanning tree in the directed graph. Finally, we discuss how to use the algorithm to find the optimal competence set expansion and also discuss related problems.

Suggested Citation

  • J. W. Feng & P. L. Yu, 1998. "Minimum Spanning Table and Optimal Expansion of Competence Set," Journal of Optimization Theory and Applications, Springer, vol. 99(3), pages 655-679, December.
    • Handle: RePEc:spr:joptap:v:99:y:1998:i:3:d:10.1023_a:1021755117744
    DOI: 10.1023/A:1021755117744
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    References listed on IDEAS

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    1. Yu, Po L. & Zhang, Dazhi, 1990. "A foundation for competence set analysis," Mathematical Social Sciences, Elsevier, vol. 20(3), pages 251-299, December.
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    Cited by:

    1. Kushtina, Emma & Zaikin, Oleg & Rzewski, Przemyslaw & Malachowski, Bartlomiej, 2009. "Cost estimation algorithm and decision-making model for curriculum modification in educational organization," European Journal of Operational Research, Elsevier, vol. 197(2), pages 752-763, September.
    2. Chen, Ruey-Shun & Lu, Kun-Yung & Tai, Pei-Hao, 2004. "Optimizing assembly planning through a three-stage integrated approach," International Journal of Production Economics, Elsevier, vol. 88(3), pages 243-256, April.
    3. Chen, Ting-Yu, 2002. "Expanding competence sets for the consumer decision problem," European Journal of Operational Research, Elsevier, vol. 138(3), pages 622-648, May.
    4. Po-Lung Yu & Yen-Chu Chen, 2012. "Dynamic multiple criteria decision making in changeable spaces: from habitual domains to innovation dynamics," Annals of Operations Research, Springer, vol. 197(1), pages 201-220, August.
    5. Shoubin Qi & Junwen Feng, 2018. "A Revised Minimum Spanning Table Method for Expanding Competence Sets," Bulletin of Business and Economics (BBE), Research Foundation for Humanity (RFH), vol. 7(2), pages 40-45, June.

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