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A hierarchical location-allocation model with travel based on expected referral distances

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  • M. Hodgson
  • Soren Jacobsen

Abstract

The hierarchical p-median location-allocation model assumes that patrons always travel to the closest facility of appropriate level and that their interests are best served when the distances they must travel to do this are minimized. This assumption about travel behavior is unrealistic, patrons in the real world are known, for instance, to bypass lower level facilities that can serve their needs to attend higher level facilities. We introduce the concept of “expected distance under referral” to deal with such irrationality and incorporate it into a location-allocation model that minimizes the negative effects of such irrational behavior. We demonstrate the model with several types of non-optimal travel behavior. Copyright Springer Science+Business Media, LLC 2009

Suggested Citation

  • M. Hodgson & Soren Jacobsen, 2009. "A hierarchical location-allocation model with travel based on expected referral distances," Annals of Operations Research, Springer, vol. 167(1), pages 271-286, March.
  • Handle: RePEc:spr:annopr:v:167:y:2009:i:1:p:271-286:10.1007/s10479-008-0380-8
    DOI: 10.1007/s10479-008-0380-8
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    1. A S Fotheringham, 1986. "Modelling Hierarchical Destination Choice," Environment and Planning A, , vol. 18(3), pages 401-418, March.
    2. Kloos, Helmut, 1990. "Utilization of selected hospitals, health centres and health stations in Central, Southern and Western Ethiopia," Social Science & Medicine, Elsevier, vol. 31(2), pages 101-114, January.
    3. Hodgson, M.J., 1988. "An hierarchical location-allocation model for primary health care delivery in a developing area," Social Science & Medicine, Elsevier, vol. 26(1), pages 153-161, January.
    4. Michael B. Teitz & Polly Bart, 1968. "Heuristic Methods for Estimating the Generalized Vertex Median of a Weighted Graph," Operations Research, INFORMS, vol. 16(5), pages 955-961, October.
    5. Narula, Subhash C & Ogbu, Ugonnaya I, 1979. "An hierarchal location--allocation problem," Omega, Elsevier, vol. 7(2), pages 137-143.
    6. Freund, Paul J., 1986. "Health care in a declining economy: The case of Zambia," Social Science & Medicine, Elsevier, vol. 23(9), pages 875-888, January.
    7. M J Hodgson, 1978. "Toward More Realistic Allocation in Location—Allocation Models: An Interaction Approach," Environment and Planning A, , vol. 10(11), pages 1273-1285, November.
    8. Stock, Robert, 1983. "Distance and the utilization of health facilities in rural Nigeria," Social Science & Medicine, Elsevier, vol. 17(9), pages 563-570, January.
    9. Oppong, Joseph R., 1996. "Accommodating the rainy season in Third World location-allocation applications," Socio-Economic Planning Sciences, Elsevier, vol. 30(2), pages 121-137, June.
    10. A S Fotheringham, 1983. "A New Set of Spatial-Interaction Models: The Theory of Competing Destinationsâ€," Environment and Planning A, , vol. 15(1), pages 15-36, January.
    11. A G Wilson, 1971. "A Family of Spatial Interaction Models, and Associated Developments," Environment and Planning A, , vol. 3(1), pages 1-32, March.
    12. John R. Roy, 2004. "Spatial Interaction Modelling," Advances in Spatial Science, Springer, number 978-3-540-24807-1, Fall.
    13. M Batty, 1978. "Reilly's Challenge: New Laws of Retail Gravitation Which Define Systems of Central Places," Environment and Planning A, , vol. 10(2), pages 185-219, February.
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