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Mathematical Models of Road Travel Distances

Author

Listed:
  • Robert F. Love

    (University of Wisconsin-Madison)

  • James G. Morris

    (Kent State University)

Abstract

Some management science models require estimates of distances between points in a road network based on the point coordinates. This paper evaluates the accuracy of a range of reasonable forms for distance estimating functions using samples of urban and rural road distances. The intent is to derive better distance estimating functions for analyzing systems with distance related performance measures. Contrary to a standard assumption, the rectangular distance function is inferior to the simple Euclidean metric in the urban samples. More general functions provide still greater improvement over the rectangular metric. Statistical significance accompanies these conclusions. One of the more general functions appears particularly suited to rural distances.

Suggested Citation

  • Robert F. Love & James G. Morris, 1979. "Mathematical Models of Road Travel Distances," Management Science, INFORMS, vol. 25(2), pages 130-139, February.
  • Handle: RePEc:inm:ormnsc:v:25:y:1979:i:2:p:130-139
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    File URL: http://dx.doi.org/10.1287/mnsc.25.2.130
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    Citations

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    Cited by:

    1. Dieperink, H. & Nijkamp, P., 1987. "A multiple criteria location model for innovative firms in a communication network," Serie Research Memoranda 0072, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    2. Heydari, Ruhollah & Melachrinoudis, Emanuel, 2012. "Location of a semi-obnoxious facility with elliptic maximin and network minisum objectives," European Journal of Operational Research, Elsevier, vol. 223(2), pages 452-460.
    3. Maud M. Hensen & M. Robert de Vries & Frank Cörvers, 2009. "The role of geographic mobility in reducing education-job mismatches in the Netherlands," Papers in Regional Science, Wiley Blackwell, vol. 88(3), pages 667-682, August.
    4. Brimberg, Jack & Love, Robert F. & Walker, John H., 1995. "The effect of axis rotation on distance estimation," European Journal of Operational Research, Elsevier, vol. 80(2), pages 357-364, January.
    5. Nan Dong & Xiaohuan Yang & Hongyan Cai & Liming Wang, 2015. "A Novel Method for Simulating Urban Population Potential Based on Urban Patches: A Case Study in Jiangsu Province, China," Sustainability, MDPI, Open Access Journal, vol. 7(4), pages 1-20, April.
    6. Ballou, Ronald H. & Rahardja, Handoko & Sakai, Noriaki, 2002. "Selected country circuity factors for road travel distance estimation," Transportation Research Part A: Policy and Practice, Elsevier, vol. 36(9), pages 843-848, November.
    7. Alpaydin, Ethem & Altinel, I. Kuban & Aras, Necati, 1996. "Parametric distance functions vs. nonparametric neural networks for estimating road travel distances," European Journal of Operational Research, Elsevier, vol. 93(2), pages 230-243, September.
    8. Li, Xiaopeng & Ma, Jiaqi & Cui, Jianxun & Ghiasi, Amir & Zhou, Fang, 2016. "Design framework of large-scale one-way electric vehicle sharing systems: A continuum approximation model," Transportation Research Part B: Methodological, Elsevier, vol. 88(C), pages 21-45.
    9. Dubois, Nicolas & Semet, Frederic, 1995. "Estimation and determination of shortest path length in a road network with obstacles," European Journal of Operational Research, Elsevier, vol. 83(1), pages 105-116, May.
    10. Uster, Halit & Love, Robert F., 2001. "On the directional bias of the lbp-norm," European Journal of Operational Research, Elsevier, vol. 128(3), pages 664-673, February.
    11. Levinson, David & El-Geneidy, Ahmed, 2009. "The minimum circuity frontier and the journey to work," Regional Science and Urban Economics, Elsevier, vol. 39(6), pages 732-738, November.
    12. Lin, Yen-Hung & Batta, Rajan & Rogerson, Peter A. & Blatt, Alan & Flanigan, Marie, 2011. "A logistics model for emergency supply of critical items in the aftermath of a disaster," Socio-Economic Planning Sciences, Elsevier, vol. 45(4), pages 132-145, December.
    13. Masashi Miyagawa, 2014. "Optimal allocation of area in hierarchical road networks," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 53(2), pages 617-630, September.
    14. AltInel, I. Kuban & Durmaz, Engin & Aras, Necati & ÖzkIsacIk, Kerem Can, 2009. "A location-allocation heuristic for the capacitated multi-facility Weber problem with probabilistic customer locations," European Journal of Operational Research, Elsevier, vol. 198(3), pages 790-799, November.
    15. Brimberg, Jack & Juel, Henrik, 1998. "A bicriteria model for locating a semi-desirable facility in the plane," European Journal of Operational Research, Elsevier, vol. 106(1), pages 144-151, April.
    16. repec:spr:topjnl:v:25:y:2017:i:1:d:10.1007_s11750-016-0424-1 is not listed on IDEAS

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