Abstract
Evacuation networks from buildings represent a complex architectural and engineering phenomenon. The problem is fundamentally a transient stochastic process embedded on a three-dimensional graph network topology. Not only is the analysis of the problem challenging, but synthesizing the way occupants should exit the facility is also problematic. This paper addresses the two key concerns in the evacuation problem: performance analysis and their optimization. Two facilities on the University of Massachusetts campus provide the backdrop and case studies for this paper. Extensive computational results support the theoretical decomposition approach to the problems.
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Bakuli, D., MacGregor Smith, J.: Resource allocation in state dependent emergency evacuation networks. Eur. J. Oper. Res. 89, 543–555 (1996)
Cheah, J., MacGregor Smith, J.: Generalized M/G/C/C state dependent queueing models and pedestrian traffic flows. QUESTA 15, 365–386 (1994)
Cruz, F., MacGregor Smith, J., Medeiros, R.O.: An M/G/c/c state dependent queueing network simulation model. Comput. Oper. Res. 32, 919–941 (2005)
Cruz, F., MacGregor Smith, J., Queiroz, D.C.: Service and capacity allocation in M/G/c/c state dependent queueing networks. Comput. Oper. Res. 32, 1545–1563 (2005)
Cruz, F., MacGregor Smith, J.: Approximate analysis of M/G/c/c state dependent queueing networks. Comput. Oper. Res. 34, 2332–2344 (2007)
Daskalaki, S., MacGregor Smith, J.: Real time routing in finite queueing networks. In: Perros, H., Altiok, T. (eds.) Queueing Networks with Blocking, pp. 313–324 (1989)
MacGregor Smith, J., Towsley, D.: The use of queueing networks in the evaluation of egress from buildings. Environ. Plan. B8, 125–139 (1981)
MacGregor Smith, J.: QNET-C: an interactive graphics computer program for evacuation planning. Paper presented at the Society for Computer Simulation Conference. San Diego, California, 14 Jan 1987
MacGregor Smith, J.: State dependent queueing models in emergency evacuation networks. Transp. Res., Part B 25B(6), 373–389 (1991)
MacGregor Smith, J.: Multi-objective routing in stochastic evacuation networks. In: Du, D.Z., Pardalos, P. (eds.) Network Optimization Problems: Algorithms, Complexity, and Applications, pp. 263–281. World Scientific Press (1993)
MacGregor Smith, J.: Topological network design of state dependent queueing networks. Networks 28, 55–68 (1996)
MacGregor Smith, J.: Robustness of state dependent queues and material handling systems. IJPR 48(16), 4631–4663 (2010)
MacGregor Smith, J.: Optimal routing in closed queueing networks with state dependent queues. INFOR 11(1), 45–62 (2011)
Tregenza, P.: The design of interior circulation. Van Norstrand Reinhold Company, New York, NY (1976)
Yuhaski, S., MacGregor Smith, J.: Modeling circulation systems in buildings using state dependent queueing models. Queueing Syst. 4, 319–338 (1989)
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Weiss, A., Williams, L. & MacGregor Smith, J. Performance & Optimization of M/G/c/c Building Evacuation Networks. J Math Model Algor 11, 361–386 (2012). https://doi.org/10.1007/s10852-012-9192-6
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DOI: https://doi.org/10.1007/s10852-012-9192-6