Abstract
The basic ideas of the Cell-Transmission-Model (CTM) by Daganzo (Transp. Res., Part B 28, 269–287, 1994) were used in numerous publications dealing with evacuation planning in urban areas. However, none of them consider the assignment of rescue teams which will be needed in case of fire fighting, bomb disposal or evacuating public buildings like hospitals. In such scenarios, traffic capacities are limited and have to be used as efficiently as possible to reduce danger for the population. Rescue teams usually have to enter the network in opposite driving direction to evacuating vehicles so that difficulties in traffic routing are unavoidable. In this paper, we will introduce an extension for the CTM-based Evacuation Planning Model by Kimms and Maassen (2012) which allows to integrate rescue team (contra-)flow into evacuation planning simultaneously. We formulate our approach in such a way that it should be applicable in most real-world cases. We also present a three-staged heuristic procedure which was able to solve real world cases with up to 8750 vehicles within reasonable time.
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References
Bretschneider, S., Kimms, A.: A basic mathematical model for evacuation planning in urban areas. Transp. Res., Part A, Policy Pract. 45, 523–539 (2011)
Chiu, Y.C., Zheng, H., Villalobos, J., Gautam, B.: Modeling no-notice mass evacuation using a dynamic traffic flow optimization model. IIE Trans. 39, 83–94 (2007)
Cova, T.J., Johnson, J.P.: A network flow model for lane-based evacuation routing. Transp. Res., Part A 37, 579–604 (2003)
Daganzo, C.F.: The cell-transmission-model: a dynamic representation of highway traffic consistent with the hydrodynamic theory. Transp. Res., Part B 28, 269–287 (1994)
Daganzo, C.F.: The cell-transmission-model, Part II: Network traffic. Transp. Res., Part B 29, 79–93 (1995)
Garey, M.R., Johnson, D.S.: Computers and Intractability—A Guide to the Theory of NP-Completeness. Freeman, New York (1979)
Hamacher, H.W., Tjandra, S.A.: Mathematical modeling of evacuation problems: state of the art. Pedestr. Evac. Dyn. 24, 227–266 (2001)
Han, L.D., Yuan, F., Chin, S., Hwang, H.: Global optimization of emergency evacuation assignments. Interfaces 36, 502–513 (2006)
Kalafatas, G., Peeta, S.: Planning for evacuation: insights from an efficient network design model. J. Infrastruct. Syst. 15, 21–30 (2009)
Kim, S., Shekhar, S.: Contraflow transportation network reconfiguration for evacuation route planning. IEEE Trans. Knowl. Data Eng. 20(8), 1115–1129 (2008)
Kimms, A., Maassen, K.-C.: Optimization and simulation of traffic flows in the case of evacuating urban areas. OR Spectrum 33, 571–593 (2011a)
Kimms, A., Maassen, K.-C.: Extended cell-transmission-based evacuation planning in urban areas. Pesqui. Oper. 31, 405–441 (2011b)
Kimms, A., Maassen, K.-C.: A fast heuristic approach for large scale cell-transmission-based evacuation planning. Networks (2012, to appear)
Lighthill, M.J., Whitham, J.B.: On kinematic waves II. A theory of traffic flow on long crowded roads. Proc. R. Soc. A 229(1178), 317–345 (1955)
Richards, P.I.: Shockwaves on the highway. Oper. Res. 4, 42–51 (1956)
Sheffi, Y., Mahmassani, H., Powell, W.B.: A transportation network evacuation model. Transp. Res., Part A 16, 209–218 (1982)
Shen, W., Nie, Y., Zhang, H.M.: Dynamic network simplex method for designing emergency evacuation plans. Transp. Res. Rec. 2022, 83–93 (2007)
Sinuany-Stern, Z., Stern, E.: Simulating the evacuation of a small city: the effects of traffic factors. Socio-Econ. Plan. Sci. 27, 97–108 (1993)
Stepanov, A., MacGregor Smith, J.: Multi-objective evacuation routing in transportation networks. Eur. J. Oper. Res. 198, 435–446 (2009)
Tuydes, H., Ziliaskopoulos, A.K.: Network re-design to optimize evacuation contraflow. Technical Report 04-4715, Proc. 83rd Ann. Meeting of the Transportation Research Board (2004)
Tuydes, H., Ziliaskopoulos, A.K.: Tabu-based heuristic approach for optimization of network evacuation contraflow. Transp. Res. Rec. 1964, 157–168 (2006)
Xie, C., Turnquist, M.A.: Integrated evacuation network optimization and emergency vehicle assignment. Transp. Res. Rec. 2091, 79–90 (2009)
Xie, C., Lin, D.-Y., Waller, S.T.: A dynamic evacuation network optimization problem with lane reversal and crossing elimination strategies. Transp. Res., Part E, Logist. Transp. Rev. 46, 295–316 (2010)
Yamada, T.: A network flow approach to a city emergency evacuation planning. Int. J. Syst. Sci. 27, 931–936 (1996)
Yue, L., Chang, G., Ying, L., Lai, X.: Corridor-based emergency evacuation system for Washington, D.C.—system development and case study. Transp. Res. Rec. 2041, 58–67 (2008)
Ziliaskopoulos, A.K.: A linear programming model for the single destination system optimum dynamic traffic assignment problem. Transp. Sci. 34, 37–49 (2000)
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Kimms, A., Maassen, KC. Cell-transmission-based evacuation planning with rescue teams. J Heuristics 18, 435–471 (2012). https://doi.org/10.1007/s10732-011-9193-z
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DOI: https://doi.org/10.1007/s10732-011-9193-z