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A New Distance Function for Modeling Travel Distances in a Transportation Network

Author

Listed:
  • Jack Brimberg

    (Royal Military College of Canada, Kingston, Ontario, Canada K7K 5L0)

  • Robert F. Love

    (McMaster University, Hamilton, Ontario, Canada, L8S 4M4)

Abstract

Continuous location models generally use the Euclidean or rectangular norm to approximate travel in a transportation network. This paper considers a new and more accurate distance measure, termed the weighted one-two norm, which is a positive linear combination of the preceding norms. A directional bias function is introduced to show the equivalence of this distance measure to the well known l p norm. We then formulate a simple linear regression model to fit the parameters of our distance function to a given data set. Some novel applications based on standard statistical tests are derived which provide practical insights into the nature of networks with rectangular bias. The results are readily extended to other types of networks.

Suggested Citation

  • Jack Brimberg & Robert F. Love, 1992. "A New Distance Function for Modeling Travel Distances in a Transportation Network," Transportation Science, INFORMS, vol. 26(2), pages 129-137, May.
    • Handle: RePEc:inm:ortrsc:v:26:y:1992:i:2:p:129-137
    DOI: 10.1287/trsc.26.2.129
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    Cited by:

    1. 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.
    2. 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.
    3. Merchán, Daniel & Winkenbach, Matthias & Snoeck, André, 2020. "Quantifying the impact of urban road networks on the efficiency of local trips," Transportation Research Part A: Policy and Practice, Elsevier, vol. 135(C), pages 38-62.
    4. Avella, P. & Benati, S. & Canovas Martinez, L. & Dalby, K. & Di Girolamo, D. & Dimitrijevic, B. & Ghiani, G. & Giannikos, I. & Guttmann, N. & Hultberg, T. H. & Fliege, J. & Marin, A. & Munoz Marquez, , 1998. "Some personal views on the current state and the future of locational analysis," European Journal of Operational Research, Elsevier, vol. 104(2), pages 269-287, January.
    5. Xiaoshu Cao & Feiwen Liang & Huiling Chen & Yongwei Liu, 2017. "Circuity Characteristics of Urban Travel Based on GPS Data: A Case Study of Guangzhou," Sustainability, MDPI, vol. 9(11), pages 1-21, November.
    6. Drezner, Zvi & Drezner, Tammy & Wesolowsky, George O., 2009. "Location with acceleration-deceleration distance," European Journal of Operational Research, Elsevier, vol. 198(1), pages 157-164, October.

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