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Inverse maximum flow problems under the weighted Hamming distance

Author

Listed:
  • Longcheng Liu

    (Zhejiang University)

  • Jianzhong Zhang

    (The Chinese University of Hong Kong)

Abstract

In this paper, we consider inverse maximum flow problem under the weighted Hamming distance. Four models are studied: the problem under sum-type weighted Hamming distance; the problem under bottleneck-type weighted Hamming distance and two mixed types of problems. We present their respective combinatorial algorithms that all run in strongly polynomial times.

Suggested Citation

  • Longcheng Liu & Jianzhong Zhang, 2006. "Inverse maximum flow problems under the weighted Hamming distance," Journal of Combinatorial Optimization, Springer, vol. 12(4), pages 395-408, December.
    • Handle: RePEc:spr:jcomop:v:12:y:2006:i:4:d:10.1007_s10878-006-9006-8
    DOI: 10.1007/s10878-006-9006-8
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    References listed on IDEAS

    as
    1. Yong He & Binwu Zhang & Enyu Yao, 2005. "Weighted Inverse Minimum Spanning Tree Problems Under Hamming Distance," Journal of Combinatorial Optimization, Springer, vol. 9(1), pages 91-100, February.
    2. Duin, C.W. & Volgenant, A., 2006. "Some inverse optimization problems under the Hamming distance," European Journal of Operational Research, Elsevier, vol. 170(3), pages 887-899, May.
    3. Binwu Zhang & Jianzhong Zhang & Yong He, 2005. "The Center Location Improvement Problem Under the Hamming Distance," Journal of Combinatorial Optimization, Springer, vol. 9(2), pages 187-198, March.
    4. Clemens Heuberger, 2004. "Inverse Combinatorial Optimization: A Survey on Problems, Methods, and Results," Journal of Combinatorial Optimization, Springer, vol. 8(3), pages 329-361, September.
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    Citations

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    Cited by:

    1. Adrian Deaconu & Laura Ciupala, 2020. "Inverse Minimum Cut Problem with Lower and Upper Bounds," Mathematics, MDPI, vol. 8(9), pages 1-10, September.
    2. Çiğdem Güler & Horst W. Hamacher, 2010. "Capacity inverse minimum cost flow problem," Journal of Combinatorial Optimization, Springer, vol. 19(1), pages 43-59, January.
    3. Rishabh Gupta & Qi Zhang, 2022. "Decomposition and Adaptive Sampling for Data-Driven Inverse Linear Optimization," INFORMS Journal on Computing, INFORMS, vol. 34(5), pages 2720-2735, September.
    4. Javad Tayyebi & Adrian Deaconu, 2019. "Inverse Generalized Maximum Flow Problems," Mathematics, MDPI, vol. 7(10), pages 1-15, September.
    5. Xianyue Li & Xichao Shu & Huijing Huang & Jingjing Bai, 2019. "Capacitated partial inverse maximum spanning tree under the weighted Hamming distance," Journal of Combinatorial Optimization, Springer, vol. 38(4), pages 1005-1018, November.
    6. Jiang, Yiwei & Liu, Longcheng & Wu, Biao & Yao, Enyu, 2010. "Inverse minimum cost flow problems under the weighted Hamming distance," European Journal of Operational Research, Elsevier, vol. 207(1), pages 50-54, November.

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