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Determining the Relation between Fire Engine Travel Times and Travel Distances in New York City

Author

Listed:
  • Peter Kolesar

    (The City College, New York, New York)

  • Warren Walker

    (New York City-Rand Institute, New York, New York)

  • Jack Hausner

    (New York City-Rand Institute, New York, New York)

Abstract

A simple physical model of the way fire engines travel leads to the hypothesis that T , the average fire engine travel time, depends on D , the distance travelled according to T ( D ) = 2( D / a ) 1/2 if D ≦ d and T ( D ) = v c / a + D / v c if D > d . The parameter a can be interpreted as an acceleration and v c as a cruising velocity. A field experiment was run, and the above model validated and the parameters estimated, for New York City. It was also found that regional traffic conditions and hour of day appear to have only minor effects on average response velocities.

Suggested Citation

  • Peter Kolesar & Warren Walker & Jack Hausner, 1975. "Determining the Relation between Fire Engine Travel Times and Travel Distances in New York City," Operations Research, INFORMS, vol. 23(4), pages 614-627, August.
    • Handle: RePEc:inm:oropre:v:23:y:1975:i:4:p:614-627
    DOI: 10.1287/opre.23.4.614
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    Cited by:

    1. M S Daskin & A Haghani, 1984. "Multiple Vehicle Routing and Dispatching to an Emergency Scene," Environment and Planning A, , vol. 16(10), pages 1349-1359, October.
    2. A Ingolfsson & E Erkut & S Budge, 2003. "Simulation of single start station for Edmonton EMS," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(7), pages 736-746, July.
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    4. Marcos Singer & Patricio Donoso & Natalia Jadue, 2004. "Evaluacion De Las Oportunidades De Mejoramiento De La Logistica Directa De Emergencia," Abante, Escuela de Administracion. Pontificia Universidad Católica de Chile., vol. 7(2), pages 179-209.
    5. Schmid, Verena & Doerner, Karl F., 2010. "Ambulance location and relocation problems with time-dependent travel times," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1293-1303, December.
    6. Ľuboš Buzna & Peter Czimmermann, 2021. "On the Modelling of Emergency Ambulance Trips: The Case of the Žilina Region in Slovakia," Mathematics, MDPI, vol. 9(17), pages 1-30, September.
    7. Westgate, Bradford S. & Woodard, Dawn B. & Matteson, David S. & Henderson, Shane G., 2016. "Large-network travel time distribution estimation for ambulances," European Journal of Operational Research, Elsevier, vol. 252(1), pages 322-333.
    8. 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.
    9. Dillmann, Roland & Becker, Burkhard & Beckefeld, Volker, 1996. "Practical aspects of route planning for magazine and newspaper wholesalers," European Journal of Operational Research, Elsevier, vol. 90(1), pages 1-12, April.
    10. Peter J. Kolesar, 2012. "OM Forum --Some Lessons on Operations Management Model Implementation Drawn from the RAND Fire Project," Manufacturing & Service Operations Management, INFORMS, vol. 14(1), pages 1-6, January.
    11. Uster, Halit & Love, Robert F., 2003. "Formulation of confidence intervals for estimated actual distances," European Journal of Operational Research, Elsevier, vol. 151(3), pages 586-601, December.
    12. Susan Budge & Armann Ingolfsson & Dawit Zerom, 2010. "Empirical Analysis of Ambulance Travel Times: The Case of Calgary Emergency Medical Services," Management Science, INFORMS, vol. 56(4), pages 716-723, April.
    13. N C Simpson & P G Hancock, 2009. "Fifty years of operational research and emergency response," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 126-139, May.
    14. D Richard & H Beguin & D Peeters, 1990. "The Location of Fire Stations in a Rural Environment: A Case Study," Environment and Planning A, , vol. 22(1), pages 39-52, January.
    15. Wilson, Duncan T. & Hawe, Glenn I. & Coates, Graham & Crouch, Roger S., 2016. "Online optimization of casualty processing in major incident response: An experimental analysis," European Journal of Operational Research, Elsevier, vol. 252(1), pages 334-348.
    16. Raymond F. Boykin & Mardyros Kazarians & Raymond A. Freeman, 1986. "Comparative Fire Risk Study of PCB Transformers," Risk Analysis, John Wiley & Sons, vol. 6(4), pages 477-488, December.
    17. Li, Mengyu & Carter, Alix & Goldstein, Judah & Hawco, Terence & Jensen, Jan & Vanberkel, Peter, 2021. "Determining ambulance destinations when facing offload delays using a Markov decision process," Omega, Elsevier, vol. 101(C).
    18. Jack Brimberg & Robert F. Love, 1991. "Estimating travel distances by the weighted lp norm," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(2), pages 241-259, April.
    19. Nan Zhang & Hong Huang & Boni Su & Hui Zhang, 2013. "Population evacuation analysis: considering dynamic population vulnerability distribution and disaster information dissemination," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 69(3), pages 1629-1646, December.

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