Fibonacci helps to evacuate from a convex region in a grid network

Lan Qin () and Yinfeng Xu ()
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Lan Qin: Xi’an Jiaotong University
Yinfeng Xu: Xi’an Jiaotong University

Journal of Combinatorial Optimization, 2017, vol. 34, issue 2, No 6, 398-413

Abstract: Abstract This study considers an evacuation problem where the evacuees try to escape to the boundary of an affected area, which is convex, and a grid network is embedded in the area. The boundary is unknown to the evacuees and we propose an online evacuation strategy based on the Fibonacci sequence. This strategy is proved to have a competitive ratio of 19.5, which is better than the best previously reported result of 21.

Keywords: Competitive analysis; Evacuation strategy; Fibonacci sequence; Grid network (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10878-016-9998-7

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