Improved algorithms for the evacuation route planning problem

Improved algorithms for the evacuation route planning problem Emergency evacuation is the process of movement of people away from the threat or actual occurrence of hazards such as natural disasters, terrorist attacks, fires and bombs. In this paper, we focus on evacuation from a building, but the ideas can be applied to city and region evacuation. We define the problem and show how it can be modeled using graphs. The resulting optimization problem can be formulated as an Integer Linear Program. Though this can be solved exactly, this approach does not scale well for graphs with thousands of nodes and several hundred thousands of edges. This is impractical for large graphs. First, we study a special case of this problem, where there is only a single source and a single sink. For this case, we give an improved algorithm Single Source Single Sink Evacuation Route Planner, whose evacuation time is always at most that of a famous algorithm Capacity Constrained Route Planner (CCRP), and whose running time is strictly less than that of CCRP. We prove this mathematically and give supporting results by extensive experiments. We also study randomized behavior model of people and prove some interesting results. We design the Multiple Sources Multiple Sinks Evacuation Route Planner (MSEP) algorithm to extend this for multiple sources and multiple sinks. We propose a randomized behavior model for MSEP and give a probabilistic analysis using ChernoffBounds. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Combinatorial Optimization Springer Journals

Improved algorithms for the evacuation route planning problem

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Publisher
Springer Journals
Copyright
Copyright © 2016 by Springer Science+Business Media New York
Subject
Mathematics; Combinatorics; Convex and Discrete Geometry; Mathematical Modeling and Industrial Mathematics; Theory of Computation; Optimization; Operations Research/Decision Theory
ISSN
1382-6905
eISSN
1573-2886
D.O.I.
10.1007/s10878-016-0082-0
Publisher site
See Article on Publisher Site

Abstract

Emergency evacuation is the process of movement of people away from the threat or actual occurrence of hazards such as natural disasters, terrorist attacks, fires and bombs. In this paper, we focus on evacuation from a building, but the ideas can be applied to city and region evacuation. We define the problem and show how it can be modeled using graphs. The resulting optimization problem can be formulated as an Integer Linear Program. Though this can be solved exactly, this approach does not scale well for graphs with thousands of nodes and several hundred thousands of edges. This is impractical for large graphs. First, we study a special case of this problem, where there is only a single source and a single sink. For this case, we give an improved algorithm Single Source Single Sink Evacuation Route Planner, whose evacuation time is always at most that of a famous algorithm Capacity Constrained Route Planner (CCRP), and whose running time is strictly less than that of CCRP. We prove this mathematically and give supporting results by extensive experiments. We also study randomized behavior model of people and prove some interesting results. We design the Multiple Sources Multiple Sinks Evacuation Route Planner (MSEP) algorithm to extend this for multiple sources and multiple sinks. We propose a randomized behavior model for MSEP and give a probabilistic analysis using ChernoffBounds.

Journal

Journal of Combinatorial OptimizationSpringer Journals

Published: Sep 24, 2016

References

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