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A note of reduced dimension optimization algorithm of assignment problem

Author

Listed:
  • Mengzhuo Bai

    (Shenyang Normal University)

  • Chunyang Ren

    (Shenyang the Fourth Hospital of People)

  • Yang Liu

    (Chaoyang Branch of China Construction Bank)

Abstract

Analysing the characters of the elements of the efficiency matrix of the assignment problem, we find some properties of the optimal solution. Different from the traditional algorithm, Hungarian method, we give several principles to recognize some optimal points rapidly, thus we can reduce the dimension of the assignment problem.

Suggested Citation

  • Mengzhuo Bai & Chunyang Ren & Yang Liu, 2015. "A note of reduced dimension optimization algorithm of assignment problem," Journal of Combinatorial Optimization, Springer, vol. 30(4), pages 841-849, November.
    • Handle: RePEc:spr:jcomop:v:30:y:2015:i:4:d:10.1007_s10878-015-9851-4
    DOI: 10.1007/s10878-015-9851-4
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    References listed on IDEAS

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    1. Liwei Zhong & Shoucheng Luo & Lidong Wu & Lin Xu & Jinghui Yang & Guochun Tang, 2014. "A two-stage approach for surgery scheduling," Journal of Combinatorial Optimization, Springer, vol. 27(3), pages 545-556, April.
    2. Yagiura, Mutsunori & Ibaraki, Toshihide & Glover, Fred, 2006. "A path relinking approach with ejection chains for the generalized assignment problem," European Journal of Operational Research, Elsevier, vol. 169(2), pages 548-569, March.
    3. Woodcock, Andrew J. & Wilson, John M., 2010. "A hybrid tabu search/branch & bound approach to solving the generalized assignment problem," European Journal of Operational Research, Elsevier, vol. 207(2), pages 566-578, December.
    4. Eric J. McDermid & David F. Manlove, 2010. "Keeping partners together: algorithmic results for the hospitals/residents problem with couples," Journal of Combinatorial Optimization, Springer, vol. 19(3), pages 279-303, April.
    5. Cardoen, Brecht & Demeulemeester, Erik & Beliën, Jeroen, 2010. "Operating room planning and scheduling: A literature review," European Journal of Operational Research, Elsevier, vol. 201(3), pages 921-932, March.
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    Cited by:

    1. Huidan Lin & Qun Li & Xueguo Xu & Ying Zhang, 0. "Research on dispatch of drugs and consumables in SPD warehouse of large scale hospital under uncertain environment: take respiratory consumables as an example," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-18.
    2. Wei Gao & Wuping Bao & Xin Zhou, 2019. "Analysis of cough detection index based on decision tree and support vector machine," Journal of Combinatorial Optimization, Springer, vol. 37(1), pages 375-384, January.
    3. Huidan Lin & Qun Li & Xueguo Xu & Ying Zhang, 2021. "Research on dispatch of drugs and consumables in SPD warehouse of large scale hospital under uncertain environment: take respiratory consumables as an example," Journal of Combinatorial Optimization, Springer, vol. 42(4), pages 848-865, November.

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