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Technical Note—Some Average Distance Results

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  • Richard E. Stone

    (AT&T Bell Laboratories, Holmdel, New Jersey)

Abstract

A key quantity arising in the modeling of distribution systems is the average distance to all points in a region from a designated point. While expressing such an average as an integral can be straightforward, the evaluation of such an integral can be involved. We give explicit expressions and approximate power series for several common averages.

Suggested Citation

  • Richard E. Stone, 1991. "Technical Note—Some Average Distance Results," Transportation Science, INFORMS, vol. 25(1), pages 83-90, February.
    • Handle: RePEc:inm:ortrsc:v:25:y:1991:i:1:p:83-90
    DOI: 10.1287/trsc.25.1.83
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    Cited by:

    1. B. L. Garcia & R. Bekker & R. D. Mei & N. H. Chavannes & N. D. Kruyt, 2021. "Optimal patient protocols in regional acute stroke care," Health Care Management Science, Springer, vol. 24(3), pages 515-530, September.
    2. Donald F. Vitaliano, 2022. "Food deserts and location economics," SN Business & Economics, Springer, vol. 2(2), pages 1-15, February.
    3. Fournier, Nicholas, 2021. "Hybrid pedestrian and transit priority zoning policies in an urban street network: Evaluating network traffic flow impacts with analytical approximation," Transportation Research Part A: Policy and Practice, Elsevier, vol. 152(C), pages 254-274.
    4. Jos L.T. Blank & Bart Hulst, 2015. "Optimal administrative scale for planning public services: a social cost model applied to Flemish hospital care," International Journal of Health Planning and Management, Wiley Blackwell, vol. 30(4), pages 382-394, October.
    5. Luca Quadrifoglio & Randolph W. Hall & Maged M. Dessouky, 2006. "Performance and Design of Mobility Allowance Shuttle Transit Services: Bounds on the Maximum Longitudinal Velocity," Transportation Science, INFORMS, vol. 40(3), pages 351-363, August.

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