Abstract
This paper considers the problem faced by people who must evacuate an area as quickly as possible. The evacuees are divided into multiple groups share information completely. We seek strategies that achieve a bounded ratio of evacuation path length, without any knowledge of boundary information. We restrict the affected area to a convex region in the plane, and present a \(4\sqrt{2}\)-competitive strategy for n groups of evacuees (nāā„ā3). The performance of the strategy is evaluated with case studies.
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References
X. Chen, F.B. Zhan, Agent-based simulation of evacuation strategies under different road network structures. J. Oper. Res. Soc. 59, 25ā33 (2008)
Q.S. Lu, B. George, S. Shekhar, Capacity constrained routing algorithms for evacuation planning: a summary of results, in Advances in Spatial and Temporal Databases. Lecture Notes in Computer Science, vol. 3633 (Springer, Berlin, 2005), pp.Ā 291ā307
S. Shekhar, K. Yang, V.M.V. Gunturi, L. Manikonda, et al., Experiences with evacuation route planning algorithms. Int. J. Geogr. Inf. Sci. 26(12), 2253ā2265 (2012)
P. Berman, On-line searching and navigation, in Competitive Analysis of Algorithms (Springer, Berlin, 1998)
W. Burgard, M. Moors, D. Fox, R. Simmons, S. Thrum, Collaborative multi robot exploration, in Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings, vol.Ā 1, pp.Ā 476ā481 (2000)
Y. Xu, L. Qin, Strategies of groups evacuation from a convex region in the plane, in Frontiers in Algorithmics and Algorithmic Aspects in Information and Management. Lecture Notes in Computer Science. vol.Ā 7924 (Springer, Berlin, 2013), pp.Ā 250ā260
Q. Wei, L. Wang, B. Jiang, Tactics for evacuating from an affected area. ICCCI, IACSIT 3(5), 435ā439 (2013)
Q. Wei, X. Tan, B. Jiang, et al., On-line strategies for evacuating from a convex region in the plane, in The Proceedings of Combinatorial Optimization and Applications. Lecture Notes in Computer Science, vol. 74ā85 (2014)
R.A. Baeza-Yates, J.C. Culberson, G.J.E. Rawlins, Searching in the plane. Inf. Sci. 106(2), 234ā252 (1993)
Acknowledgements
The authors would like to thank the anonymous referees for their valuable comments and suggestions for improvements. The work by Jiang was partially supported by National Natural Science Foundation of China under grant 61173034 and the General Project of Liaoning Province Science and Research (No. L2015105).
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Jiang, B., Liu, Y., Zhang, H., Tan, X. (2015). An On-Line Strategy of Groups Evacuation from a Convex Region in the Plane. In: Mathematical Problems in Data Science. Springer, Cham. https://doi.org/10.1007/978-3-319-25127-1_11
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DOI: https://doi.org/10.1007/978-3-319-25127-1_11
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