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The Weber problem with regional demand

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  • Carrizosa, E.
  • Munoz-Marquez, M.
  • Puerto, J.

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  • Carrizosa, E. & Munoz-Marquez, M. & Puerto, J., 1998. "The Weber problem with regional demand," European Journal of Operational Research, Elsevier, vol. 104(2), pages 358-365, January.
    • Handle: RePEc:eee:ejores:v:104:y:1998:i:2:p:358-365
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    References listed on IDEAS

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    1. G. O. Wesolowsky & R. F. Love, 1972. "A Nonlinear Approximation Method for Solving a Generalized Rectangular Distance Weber Problem," Management Science, INFORMS, vol. 18(11), pages 656-663, July.
    2. Rodney Vaughan, 1984. "Approximate Formulas for Average Distances Associated with Zones," Transportation Science, INFORMS, vol. 18(3), pages 231-244, August.
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    Cited by:

    1. Jian-lin Jiang & Ya Xu, 2006. "Minisum location problem with farthest Euclidean distances," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 64(2), pages 285-308, October.
    2. 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.
    3. Behrens, Kristian, 2007. "On the location and lock-in of cities: Geography vs transportation technology," Regional Science and Urban Economics, Elsevier, vol. 37(1), pages 22-45, January.
    4. Drezner, Zvi & Scott, Carlton H., 1999. "On the feasible set for the squared Euclidean Weber problem and applications," European Journal of Operational Research, Elsevier, vol. 118(3), pages 620-630, November.
    5. Daoqin Tong & Alan T. Murray, 2009. "Maximising coverage of spatial demand for service," Papers in Regional Science, Wiley Blackwell, vol. 88(1), pages 85-97, March.
    6. Jing Yao & Alan T. Murray, 2014. "Serving regional demand in facility location," Papers in Regional Science, Wiley Blackwell, vol. 93(3), pages 643-662, August.
    7. Murray, Alan T. & Church, Richard L. & Feng, Xin, 2020. "Single facility siting involving allocation decisions," European Journal of Operational Research, Elsevier, vol. 284(3), pages 834-846.
    8. 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.
    9. Sándor P. Fekete & Joseph S. B. Mitchell & Karin Beurer, 2005. "On the Continuous Fermat-Weber Problem," Operations Research, INFORMS, vol. 53(1), pages 61-76, February.
    10. Frank Plastria, 2001. "On the choice of aggregation points for continuousp-median problems: A case for the gravity centre," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 9(2), pages 217-242, December.
    11. C. Valero Franco & A. Rodríguez-Chía & I. Espejo Miranda, 2008. "The single facility location problem with average-distances," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(1), pages 164-194, July.
    12. Richard Francis & Timothy Lowe, 2014. "Comparative error bound theory for three location models: continuous demand versus discrete demand," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(1), pages 144-169, April.
    13. Tsao, Yu-Chung & Mangotra, Divya & Lu, Jye-Chyi & Dong, Ming, 2012. "A continuous approximation approach for the integrated facility-inventory allocation problem," European Journal of Operational Research, Elsevier, vol. 222(2), pages 216-228.
    14. Martin Gugat & Barbara Pfeiffer, 2007. "Weber problems with mixed distances and regional demand," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 66(3), pages 419-449, December.
    15. Blanco, Víctor & Gázquez, Ricardo & Ponce, Diego & Puerto, Justo, 2023. "A branch-and-price approach for the continuous multifacility monotone ordered median problem," European Journal of Operational Research, Elsevier, vol. 306(1), pages 105-126.
    16. Diaz-Banez, J.M. & Ramos, P.A. & Sabariego, P., 2007. "The maximin line problem with regional demand," European Journal of Operational Research, Elsevier, vol. 181(1), pages 20-29, August.

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