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Multiple vehicle routing and dispatching to an emergency scene

Author

Listed:
  • M S Daskin
  • A Haghani

Abstract

A model of the distribution of arrival time at the scene of an emergency for the first of many vehicles is developed for the case in which travel times on the links of the network are normally distributed and the path travel times of different vehicles are correlated. The model suggests that the probability that the first vehicle arrives at the scene within a given time may be increased by reducing the path time correlations, even if doing so necessitates increasing the mean path travel time for some vehicles. The model with normally distributed travel times is compared with a more complex model that assumes Erlang distributed travel times and the results are shown to be in close agreement.

Suggested Citation

  • M S Daskin & A Haghani, 1984. "Multiple vehicle routing and dispatching to an emergency scene," Environment and Planning A, Pion Ltd, London, vol. 16(10), pages 1349-1359, October.
  • Handle: RePEc:pio:envira:v:16:y:1984:i:10:p:1349-1359
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    References listed on IDEAS

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    1. Nijkamp, P. & Spronk, J., 1978. "Interactive multiple goal programming," Serie Research Memoranda 0003, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    2. Blommestein, H.J. & Nijkamp, P., 1981. "Soft spatial econometric causality models," Serie Research Memoranda 0020, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    3. repec:cup:apsrev:v:48:y:1954:i:03:p:787-792_00 is not listed on IDEAS
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    Citations

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    Cited by:

    1. Daniel Serra & Vladimir Marianov, 1996. "The P-median problem in a changing network: The case of Barcelona," Economics Working Papers 180, Department of Economics and Business, Universitat Pompeu Fabra.
    2. Knight, V.A. & Harper, P.R. & Smith, L., 2012. "Ambulance allocation for maximal survival with heterogeneous outcome measures," Omega, Elsevier, vol. 40(6), pages 918-926.
    3. Owen, Susan Hesse & Daskin, Mark S., 1998. "Strategic facility location: A review," European Journal of Operational Research, Elsevier, vol. 111(3), pages 423-447, December.
    4. repec:eee:transe:v:103:y:2017:i:c:p:143-157 is not listed on IDEAS
    5. repec:pal:jorsoc:v:60:y:2009:i:1:d:10.1057_jors.2009.3 is not listed on IDEAS
    6. Geroliminis, Nikolas & Karlaftis, Matthew G. & Skabardonis, Alexander, 2009. "A spatial queuing model for the emergency vehicle districting and location problem," Transportation Research Part B: Methodological, Elsevier, vol. 43(7), pages 798-811, August.

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