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

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

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Article ID: iaor20172798
Volume: 34
Issue: 2
Start Page Number: 398
End Page Number: 413
Publication Date: Aug 2017
Journal: Journal of Combinatorial Optimization
Authors: ,
Keywords: combinatorial optimization, programming: convex, networks, simulation, vehicle routing & scheduling
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.

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