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Joint distribution of distances to the first and the second nearest facilities

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  • Masashi Miyagawa

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  • Masashi Miyagawa, 2012. "Joint distribution of distances to the first and the second nearest facilities," Journal of Geographical Systems, Springer, vol. 14(2), pages 209-222, April.
    • Handle: RePEc:kap:jgeosy:v:14:y:2012:i:2:p:209-222
    DOI: 10.1007/s10109-010-0143-3
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    References listed on IDEAS

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    1. N Aras & M Orbay & I K Altinel, 2008. "Efficient heuristics for the rectilinear distance capacitated multi-facility Weber problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(1), pages 64-79, January.
    2. Mark S. Daskin, 1983. "A Maximum Expected Covering Location Model: Formulation, Properties and Heuristic Solution," Transportation Science, INFORMS, vol. 17(1), pages 48-70, February.
    3. Richard C. Larson, 1975. "Approximating the Performance of Urban Emergency Service Systems," Operations Research, INFORMS, vol. 23(5), pages 845-868, October.
    4. Jones, Andrew P. & Langford, Ian H. & Bentham, Graham, 1996. "The application of K-function analysis to the geographical distribution of road traffic accident outcomes in Norfolk, England," Social Science & Medicine, Elsevier, vol. 42(6), pages 879-885, March.
    5. Marianov, Vladimir & ReVelle, Charles, 1996. "The Queueing Maximal availability location problem: A model for the siting of emergency vehicles," European Journal of Operational Research, Elsevier, vol. 93(1), pages 110-120, August.
    6. Marianov, Vladimir & Revelle, Charles, 1994. "The queuing probabilistic location set covering problem and some extensions," Socio-Economic Planning Sciences, Elsevier, vol. 28(3), pages 167-178.
    7. Mozart Menezes & O. Berman & D. Krass, 2007. "Facility Reliability Issues in Network p-Median Problems: Strategic Centralization and Co-location Effects," Post-Print halshs-00170396, HAL.
    8. Sorensen, Paul & Church, Richard, 2010. "Integrating expected coverage and local reliability for emergency medical services location problems," Socio-Economic Planning Sciences, Elsevier, vol. 44(1), pages 8-18, March.
    9. Charles ReVelle & Kathleen Hogan, 1989. "The Maximum Availability Location Problem," Transportation Science, INFORMS, vol. 23(3), pages 192-200, August.
    10. Jerry R. Weaver & Richard L. Church, 1985. "A Median Location Model with Nonclosest Facility Service," Transportation Science, INFORMS, vol. 19(1), pages 58-74, February.
    11. Lawrence V. Snyder & Mark S. Daskin, 2005. "Reliability Models for Facility Location: The Expected Failure Cost Case," Transportation Science, INFORMS, vol. 39(3), pages 400-416, August.
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    Cited by:

    1. Chia-Lee Yang & Benjamin J. C. Yuan & Chi-Yo Huang, 2015. "Key Determinant Derivations for Information Technology Disaster Recovery Site Selection by the Multi-Criterion Decision Making Method," Sustainability, MDPI, vol. 7(5), pages 1-40, May.
    2. Masashi Miyagawa, 2020. "Optimal number and length of point-like and line-like facilities of grid and random patterns," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(1), pages 213-230, April.

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    More about this item

    Keywords

    Location; Reliability; Nearest neighbour distance; Point pattern; R53; C61;
    All these keywords.

    JEL classification:

    • R53 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Regional Government Analysis - - - Public Facility Location Analysis; Public Investment and Capital Stock
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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