Estimation of Distribution Algorithms for the Firefighter Problem

Krzysztof Michalak

Abstract

The firefighter problem is a graph-based optimization problem in which the goal is to effectively prevent the spread of a threat in a graph using a limited supply of resources. Recently, metaheuristic approaches to this problem have been proposed, including ant colony optimization and evolutionary algorithms. In this paper Estimation of Distribution Algorithms (EDAs) are used to solve the FFP. A new EDA is proposed in this paper, based on a model that represents the relationship between the state of the graph and positions that become defended during the simulation of the fire spreading. Another method that is tested in this paper, named EH-PBIL, uses an edge histogram matrix model with the learning mechanism used in the Population-based Incremental Learning (PBIL) algorithm with some modifications introduced in order to make it work better with the FFP. Apart from these two EDAs the paper presents results obtained using two versions of the Mallows model, which is a probabilistic model often used for permutation-based problems. For comparison, results obtained on the same test instances using an Ant Colony Optimization (ACO) algorithm, an Evolutionary Algorithm (EA) and a Variable Neighbourhood Search (VNS) are presented. The state-position model proposed in this paper works best for graphs with 1000 vertices and more, outperforming the comparison methods. For smaller graphs (with less than 1000 vertices) the VNS works best
Author Krzysztof Michalak (MISaF / IBI / DIT)
Krzysztof Michalak,,
- Department of Information Technologies
Pages108-123
Publication size in sheets0.75
Book Hu Bin, Lopez-Ibanez Manuel (eds.): Evolutionary Computation in Combinatorial Optimization. 17th European Conference, EvoCOP 2017, Amsterdam, The Netherlands, April 19-21, 2017, Proceedings, Lecture Notes in Computer Science, 2017, Springer International Publishing, ISBN 978-3-319-55452-5, [978-3-319-55453-2], 249 p., DOI:10.1007/978-3-319-55453-2
Keywords in Englishestimation of distribution algorithms, graph-based optimization, firefighter problem
DOIDOI:10.1007/978-3-319-55453-2_8
URL http://link.springer.com/chapter/10.1007/978-3-319-55453-2_8
Languageen angielski
Score (nominal)20
Score sourcepublisherList
Publication indicators Scopus Citations = 4
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