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Published in: Evolutionary Intelligence 4/2016

01-12-2016 | Special Issue

Enhanced multiobjective population-based incremental learning with applications in risk treaty optimization

Authors: Omar Andres Carmona Cortes, Andrew Rau-Chaplin

Published in: Evolutionary Intelligence | Issue 4/2016

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Abstract

The purpose of this paper is to revisit the Multiobjective Population-Based Incremental Learning method and show how its performance can be improved in the context of a real-world financial optimization problem . The proposed enhancements lead to both better performance and improvements in the quality of solutions, which can represent millions of dollars for the insurance company in terms of recoveries. Its performance was assessed in terms of runtime and speedup when parallelized. Also, metrics such as the average number of solutions, the average hypervolume, and coverage have been used in order to compare the Pareto frontiers obtained by both the original and enhanced methods. Results indicated that the proposed method is 22.1% faster, present more solutions in the average (better defining the Pareto frontier) and often generates solutions having larger hypervolumes. The method achieves a speedup of 15.7 on 16 cores of a dual socket Intel multi-core machine when solving a Reinsurance Contract Optimization problem involving 15 layers or sub-contracts .

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Footnotes
1
Actually, premiums are stated by unit of limit, also know as a Rate on Line.
 
Literature
2.
go back to reference Baluja S (1994) Population-based incremental learning: a method for integrating genetic search based function optimization and competitive learning. Tech Rep, Pittsburgh Baluja S (1994) Population-based incremental learning: a method for integrating genetic search based function optimization and competitive learning. Tech Rep, Pittsburgh
4.
go back to reference Brown L, Beria AA, Cortes O, Rau-Chaplin A, Wilson D, Burke N, Gaiser-Porter J (2014) Parallel MO-PBIL: computing pareto optimal frontiers efficiently with applications in reinsurance analytics. In: Conference on high performance computing simulation (HPCS), 2014 International, pp 766–775 Brown L, Beria AA, Cortes O, Rau-Chaplin A, Wilson D, Burke N, Gaiser-Porter J (2014) Parallel MO-PBIL: computing pareto optimal frontiers efficiently with applications in reinsurance analytics. In: Conference on high performance computing simulation (HPCS), 2014 International, pp 766–775
5.
go back to reference Bureerat S (2011) Improved population-based incremental learning in continuous spaces. Soft Comput Ind Appl 96:77–86 Bureerat S (2011) Improved population-based incremental learning in continuous spaces. Soft Comput Ind Appl 96:77–86
6.
go back to reference Coelho M, Rau-Chaplin A (2014) eXsight: an analytical framework for quantifying financial loss in the aftermath of catastrophic events. In: Proceedings of the workshop ISSASiM (DEXA 2014) Coelho M, Rau-Chaplin A (2014) eXsight: an analytical framework for quantifying financial loss in the aftermath of catastrophic events. In: Proceedings of the workshop ISSASiM (DEXA 2014)
7.
go back to reference Cortes O, Rau-Chaplin A, Wilson D, Gaiser-Porter J (2014) On PBIL, DE and PSO for optimization of reinsurance contracts. In: Esparcia-Alczar AI, Mora AM (eds) Applications of evolutionary computation, lecture notes in computer science. Springer, Berlin, pp 227–238 Cortes O, Rau-Chaplin A, Wilson D, Gaiser-Porter J (2014) On PBIL, DE and PSO for optimization of reinsurance contracts. In: Esparcia-Alczar AI, Mora AM (eds) Applications of evolutionary computation, lecture notes in computer science. Springer, Berlin, pp 227–238
8.
go back to reference Cortes OAC, Rau-Chaplin A, Wilson D, Cook I, Gaiser-Porter J (2013) Efficient optimization of reinsurance contracts using discretized PBIL. In: The third international conference on data analytics, pp 18–24 Cortes OAC, Rau-Chaplin A, Wilson D, Cook I, Gaiser-Porter J (2013) Efficient optimization of reinsurance contracts using discretized PBIL. In: The third international conference on data analytics, pp 18–24
9.
go back to reference Kennedy J, Eberhart R (1995) Particle swarm optimization. In: IEEE international conference on neural networks, vol 4. IEEE, pp 1942–1948 Kennedy J, Eberhart R (1995) Particle swarm optimization. In: IEEE international conference on neural networks, vol 4. IEEE, pp 1942–1948
10.
go back to reference Michalewicz Z (1999) Genetic algorithms + Data structure = Evolution programs, 3 edn Michalewicz Z (1999) Genetic algorithms + Data structure = Evolution programs, 3 edn
11.
go back to reference Mistry S, Gaiser-Porter J, McSharry P, Armour T (2013) Parallel computation of reinsurance models (Unpublished) Mistry S, Gaiser-Porter J, McSharry P, Armour T (2013) Parallel computation of reinsurance models (Unpublished)
12.
go back to reference Mitschele A, Oesterreicher I, Schlottmann F, Seese D (2015) Heuristic optimization of reinsurance programs and implications for reinsurance buyers. In: Operations research proceedings, pp 287–292 Mitschele A, Oesterreicher I, Schlottmann F, Seese D (2015) Heuristic optimization of reinsurance programs and implications for reinsurance buyers. In: Operations research proceedings, pp 287–292
13.
go back to reference Montgomery D, Runger GC (2010) Applied statistics and probability forengineers. Wiley, Hoboken Montgomery D, Runger GC (2010) Applied statistics and probability forengineers. Wiley, Hoboken
14.
go back to reference Oesterreicher I, Mitschele A, Schlottmann F, Seese D (2006) Comparison of multi-objective evolutionary algorithms in optimizing combinations of reinsurance contracts. In: Proceedings of the 8th annual conference on genetic and evolutionary computation, GECCO ’06ACM, New York, NY, pp 747–748 Oesterreicher I, Mitschele A, Schlottmann F, Seese D (2006) Comparison of multi-objective evolutionary algorithms in optimizing combinations of reinsurance contracts. In: Proceedings of the 8th annual conference on genetic and evolutionary computation, GECCO ’06ACM, New York, NY, pp 747–748
15.
go back to reference Salcedo-Sanz S, Carro-Calvo L, Claramunt M, Castaer A, Mrmol M (2014) Effectively tackling reinsurance problems by using evolutionary and swarm intelligence algorithms. Risks 2(2):132CrossRef Salcedo-Sanz S, Carro-Calvo L, Claramunt M, Castaer A, Mrmol M (2014) Effectively tackling reinsurance problems by using evolutionary and swarm intelligence algorithms. Risks 2(2):132CrossRef
16.
go back to reference Servais M, de Jager G, Greene JR (1997) Function optimisation using multiple-base population based incremental learning. In: The eighth annual South African workshop on pattern recognition, Rhodes University Servais M, de Jager G, Greene JR (1997) Function optimisation using multiple-base population based incremental learning. In: The eighth annual South African workshop on pattern recognition, Rhodes University
19.
go back to reference Wang H, Cortes O, Rau-Chaplin A (2015) Dynamic optimization of multi-layered reinsurance treaties. In: The 30th ACM/SIGAPP symposium on applied computing Wang H, Cortes O, Rau-Chaplin A (2015) Dynamic optimization of multi-layered reinsurance treaties. In: The 30th ACM/SIGAPP symposium on applied computing
20.
go back to reference Yao X, Liu Y, Lin G (1999) Evolutionary programming made faster. IEEE Trans Evolut Comput 3(2):82–102CrossRef Yao X, Liu Y, Lin G (1999) Evolutionary programming made faster. IEEE Trans Evolut Comput 3(2):82–102CrossRef
21.
go back to reference Yuan B, Gallagher M (2003) Playing in continuous spaces: some analysis and extension of population-based incremental learning. In: IEEE Congress on evolutionary computation. IEEE, pp 443–450 Yuan B, Gallagher M (2003) Playing in continuous spaces: some analysis and extension of population-based incremental learning. In: IEEE Congress on evolutionary computation. IEEE, pp 443–450
22.
go back to reference Zhang QH (2007) MOEA/D: a multiobjective evolutionary algorithm based on decomposition. IEEE Trans Evolut Comput 11(6):712–731CrossRef Zhang QH (2007) MOEA/D: a multiobjective evolutionary algorithm based on decomposition. IEEE Trans Evolut Comput 11(6):712–731CrossRef
Metadata
Title
Enhanced multiobjective population-based incremental learning with applications in risk treaty optimization
Authors
Omar Andres Carmona Cortes
Andrew Rau-Chaplin
Publication date
01-12-2016
Publisher
Springer Berlin Heidelberg
Published in
Evolutionary Intelligence / Issue 4/2016
Print ISSN: 1864-5909
Electronic ISSN: 1864-5917
DOI
https://doi.org/10.1007/s12065-016-0147-0

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