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A reliability-constrained siting model with local estimates of busy fractions


  • C ReVelle
  • K Hogan


The concept of location coverage was first applied in the location set covering problem and then extended to the maximal covering location problem. Both of these problems were set in a deterministic framework in which the presence of a service site within the time or distance standard (geographic coverage) was taken as sufficient, even though the possibility existed of the only server within the standard being busy. To correct for this deficiency, Daskin structured the maximal expected covering model and Hogan and ReVelle created a model which maximized backup coverage. A model has now been created which deals explicitly in a chance-constrained sense with the availability of service. Further, this model uses local estimates of busy fractions in the zone around each demand area -- in order to reflect more accurately the heterogeneity in service availability.

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  • C ReVelle & K Hogan, 1988. "A reliability-constrained siting model with local estimates of busy fractions," Environment and Planning B: Planning and Design, Pion Ltd, London, vol. 15(2), pages 143-152, March.
  • Handle: RePEc:pio:envirb:v:15:y:1988:i:2:p:143-152

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    References listed on IDEAS

    1. Warr, Peter G, 1982. "Shadow Pricing Rules for Non-Traded Commodities," Oxford Economic Papers, Oxford University Press, vol. 34(2), pages 305-325, July.
    2. Burton A. Weisbrod, 1964. "Collective-Consumption Services of Individual-Consumption Goods," The Quarterly Journal of Economics, Oxford University Press, vol. 78(3), pages 471-477.
    3. Hinloopen, E. & Nijkamp, P., 1986. "Qualitative multiple criteria choice analysis : the dominant regime method," Serie Research Memoranda 0045, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    4. Douglas A. Greenley & Richard G. Walsh & Robert A. Young, 1981. "Option Value: Empirical Evidence from a Case Study of Recreation and Water Quality," The Quarterly Journal of Economics, Oxford University Press, vol. 96(4), pages 657-673.
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    Cited by:

    1. 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.
    2. Sun Hoon Kim & Young Hoon Lee, 2016. "Iterative optimization algorithm with parameter estimation for the ambulance location problem," Health Care Management Science, Springer, vol. 19(4), pages 362-382, December.
    3. 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.
    4. Beraldi, P. & Bruni, M.E., 2009. "A probabilistic model applied to emergency service vehicle location," European Journal of Operational Research, Elsevier, vol. 196(1), pages 323-331, July.

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