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Locational optimization problems solved through Voronoi diagrams

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  • Okabe, Atsuyuki
  • Suzuki, Atsuo

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  • Okabe, Atsuyuki & Suzuki, Atsuo, 1997. "Locational optimization problems solved through Voronoi diagrams," European Journal of Operational Research, Elsevier, vol. 98(3), pages 445-456, May.
    • Handle: RePEc:eee:ejores:v:98:y:1997:i:3:p:445-456
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    References listed on IDEAS

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    1. Jack Elzinga & Donald W. Hearn, 1972. "Geometrical Solutions for Some Minimax Location Problems," Transportation Science, INFORMS, vol. 6(4), pages 379-394, November.
    2. Morris, James G. & Norback, John P., 1983. "Linear facility location -- Solving extensions of the basic problem," European Journal of Operational Research, Elsevier, vol. 12(1), pages 90-94, January.
    3. Donald W. Hearn & James Vijay, 1982. "Efficient Algorithms for the (Weighted) Minimum Circle Problem," Operations Research, INFORMS, vol. 30(4), pages 777-795, August.
    4. S. L. Hakimi, 1964. "Optimum Locations of Switching Centers and the Absolute Centers and Medians of a Graph," Operations Research, INFORMS, vol. 12(3), pages 450-459, June.
    5. Hiroshi Imai & D. T. Lee & Chung-Do Yang, 1992. "1-Segment Center Problems," INFORMS Journal on Computing, INFORMS, vol. 4(4), pages 426-434, November.
    6. A Okabe & T Yoshikawa & A Fujii & K Oikawa, 1988. "The Statistical Analysis of a Distribution of Activity Points in Relation to Surface-Like Elements," Environment and Planning A, , vol. 20(5), pages 609-620, May.
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    Cited by:

    1. Tom Dvir & Renana Peres & Ze'ev Rudnick, 2020. "Modelling the expected probability of correct assignment under uncertainty," Papers 2008.05878, arXiv.org.
    2. Plastria, Frank, 2001. "Static competitive facility location: An overview of optimisation approaches," European Journal of Operational Research, Elsevier, vol. 129(3), pages 461-470, March.
    3. Timothy Matisziw & Alan Murray, 2009. "Area coverage maximization in service facility siting," Journal of Geographical Systems, Springer, vol. 11(2), pages 175-189, June.
    4. John Gunnar Carlsson & Raghuveer Devulapalli, 2013. "Dividing a Territory Among Several Facilities," INFORMS Journal on Computing, INFORMS, vol. 25(4), pages 730-742, November.
    5. Ansari, Sina & Başdere, Mehmet & Li, Xiaopeng & Ouyang, Yanfeng & Smilowitz, Karen, 2018. "Advancements in continuous approximation models for logistics and transportation systems: 1996–2016," Transportation Research Part B: Methodological, Elsevier, vol. 107(C), pages 229-252.
    6. Kevin Curtin & Richard Church, 2007. "Optimal dispersion and central places," Journal of Geographical Systems, Springer, vol. 9(2), pages 167-187, June.
    7. Michael Mc Gettrick, 2020. "The role of city geometry in determining the utility of a small urban light rail/tram system," Public Transport, Springer, vol. 12(1), pages 233-259, March.
    8. 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.
    9. Hilton Tnunay & Kaouther Moussa & Ahmad Hably & Nicolas Marchand, 2023. "Distributed Finite-Time Coverage Control of Multi-Quadrotor Systems with Switching Topology," Mathematics, MDPI, vol. 11(12), pages 1-18, June.
    10. Yoshiaki Ohsawa, 2000. "Bicriteria Euclidean location associated with maximin and minimax criteria," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(7), pages 581-592, October.
    11. Xin Feng & Alan T. Murray, 2018. "Allocation using a heterogeneous space Voronoi diagram," Journal of Geographical Systems, Springer, vol. 20(3), pages 207-226, July.
    12. Isabel Alonso & Emilio Carrizosa & Eduardo Conde, 1998. "Maximin location: Discretization not always works," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 6(2), pages 313-319, December.
    13. Wang, Wei & Wu, Shining & Wang, Shuaian & Zhen, Lu & Qu, Xiaobo, 2021. "Emergency facility location problems in logistics: Status and perspectives," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 154(C).
    14. Miguel Goberna & Virginia Vera de Serio, 2012. "On the stability of Voronoi cells," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 20(2), pages 411-425, July.
    15. Wilfredo Yushimito & Miguel Jaller & Satish Ukkusuri, 2012. "A Voronoi-Based Heuristic Algorithm for Locating Distribution Centers in Disasters," Networks and Spatial Economics, Springer, vol. 12(1), pages 21-39, March.

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