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Multi-objective evacuation routing in transportation networks

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  • Stepanov, Alexander
  • Smith, James MacGregor

Abstract

In this paper, the optimal design and analysis of evacuation routes in transportation networks is examined. An methodology for optimal egress route assignment is suggested. An integer programming (IP) formulation for optimal route assignment is presented, which utilizes M/G/c/c state dependent queueing models to cope with congestion and time delays on road links. M/G/c/c simulation software is used to evaluate performance measures of the evacuation plan: clearance time, total travelled distance and blocking probabilities. Extensive experimental results are included.

Suggested Citation

  • Stepanov, Alexander & Smith, James MacGregor, 2009. "Multi-objective evacuation routing in transportation networks," European Journal of Operational Research, Elsevier, vol. 198(2), pages 435-446, October.
  • Handle: RePEc:eee:ejores:v:198:y:2009:i:2:p:435-446
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    References listed on IDEAS

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    1. Laoucine Kerbache & J.Macgregor Smith, 1987. "The generalized expansion method for open finite queueing networks," Post-Print hal-00484457, HAL.
    2. Rajat Jain & J. Macgregor Smith, 1997. "Modeling Vehicular Traffic Flow using M/G/C/C State Dependent Queueing Models," Transportation Science, INFORMS, vol. 31(4), pages 324-336, November.
    3. Pidd, M. & de Silva, F. N. & Eglese, R. W., 1996. "A simulation model for emergency evacuation," European Journal of Operational Research, Elsevier, vol. 90(3), pages 413-419, May.
    4. MacGregor Smith, J., 1991. "State-dependent queueing models in emergency evacuation networks," Transportation Research Part B: Methodological, Elsevier, vol. 25(6), pages 373-389, December.
    5. Kerbachea, Laoucine & MacGregor Smith, J., 1987. "The generalized expansion method for open finite queueing networks," European Journal of Operational Research, Elsevier, vol. 32(3), pages 448-461, December.
    6. F N de Silva & R W Eglese, 2000. "Integrating simulation modelling and GIS: spatial decision support systems for evacuation planning," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(4), pages 423-430, April.
    7. Thomas J Cova & Justin P Johnson, 2002. "Microsimulation of Neighborhood Evacuations in the Urban–Wildland Interface," Environment and Planning A, , vol. 34(12), pages 2211-2229, December.
    8. Kerbache, Laoucine & Smith, J. MacGregor, 2000. "Multi-objective routing within large scale facilities using open finite queueing networks," European Journal of Operational Research, Elsevier, vol. 121(1), pages 105-123, February.
    9. Lindell, Michael K., 2008. "EMBLEM2: An empirically based large scale evacuation time estimate model," Transportation Research Part A: Policy and Practice, Elsevier, vol. 42(1), pages 140-154, January.
    10. Cova, Thomas J. & Johnson, Justin P., 2003. "A network flow model for lane-based evacuation routing," Transportation Research Part A: Policy and Practice, Elsevier, vol. 37(7), pages 579-604, August.
    11. Laoucine Kerbache & J. Macgregor Smith, 2000. "Multi-objective routing within large scale facilities using open finite queueing networks," Post-Print hal-00798811, HAL.
    12. F Southworth & S-M Chin, 1987. "Network Evacuation Modelling for Flooding as a Result of Dam Failure," Environment and Planning A, , vol. 19(11), pages 1543-1558, November.
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