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A heuristic algorithm for constrained multi-source Weber problem - The variational inequality approach

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  • Jiang, Jian-Lin
  • Yuan, Xiao-Ming

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  • Jiang, Jian-Lin & Yuan, Xiao-Ming, 2008. "A heuristic algorithm for constrained multi-source Weber problem - The variational inequality approach," European Journal of Operational Research, Elsevier, vol. 187(2), pages 357-370, June.
    • Handle: RePEc:eee:ejores:v:187:y:2008:i:2:p:357-370
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    References listed on IDEAS

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    1. Jack Brimberg & Robert F. Love, 1993. "Global Convergence of a Generalized Iterative Procedure for the Minisum Location Problem with lp Distances," Operations Research, INFORMS, vol. 41(6), pages 1153-1163, December.
    2. Lawrence M. Ostresh, 1978. "On the Convergence of a Class of Iterative Methods for Solving the Weber Location Problem," Operations Research, INFORMS, vol. 26(4), pages 597-609, August.
    3. Durier, Roland & Michelot, Christian, 1985. "Geometrical properties of the Fermat-Weber problem," European Journal of Operational Research, Elsevier, vol. 20(3), pages 332-343, June.
    4. Rosing, K. E., 1992. "An optimal method for solving the (generalized) multi-Weber problem," European Journal of Operational Research, Elsevier, vol. 58(3), pages 414-426, May.
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    Cited by:

    1. Emad Alzubi & Bernd Noche, 2022. "A Multi-Objective Model to Find the Sustainable Location for Citrus Hub," Sustainability, MDPI, vol. 14(21), pages 1-17, November.
    2. Wu, Zili, 2018. "Characterizations of weakly sharp solutions for a variational inequality with a pseudomonotone mapping," European Journal of Operational Research, Elsevier, vol. 265(2), pages 448-453.
    3. S. Nobakhtian & A. Raeisi Dehkordi, 2018. "An algorithm for generalized constrained multi-source Weber problem with demand substations," 4OR, Springer, vol. 16(4), pages 343-377, December.
    4. Stradi-Granados, Benito A. & Haven, Emmanuel, 2010. "The use of interval arithmetic in solving a non-linear rational expectation based multiperiod output-inflation process model: The case of the IN/GB method," European Journal of Operational Research, Elsevier, vol. 203(1), pages 222-229, May.
    5. Jianlin Jiang & Xiaoming Yuan, 2012. "A Barzilai-Borwein-based heuristic algorithm for locating multiple facilities with regional demand," Computational Optimization and Applications, Springer, vol. 51(3), pages 1275-1295, April.
    6. Jianlin Jiang & Su Zhang & Yibing Lv & Xin Du & Ziwei Yan, 2020. "An ADMM-based location–allocation algorithm for nonconvex constrained multi-source Weber problem under gauge," Journal of Global Optimization, Springer, vol. 76(4), pages 793-818, April.
    7. Yan Gu & Jianlin Jiang & Shun Zhang, 2023. "Distributionally robust Weber problem with uncertain demand," Computational Optimization and Applications, Springer, vol. 85(3), pages 705-752, July.
    8. Yao, Zhishuang & Lee, Loo Hay & Jaruphongsa, Wikrom & Tan, Vicky & Hui, Chen Fei, 2010. "Multi-source facility location-allocation and inventory problem," European Journal of Operational Research, Elsevier, vol. 207(2), pages 750-762, December.

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