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Effectively Tackling Reinsurance Problems by Using Evolutionary and Swarm Intelligence Algorithms

Author

Listed:
  • Sancho Salcedo-Sanz

    (Department of Signal Processing and Communications, Universidad de Alcalá, Alcalá de Henares 28805, Madrid, Spain)

  • Leo Carro-Calvo

    (Department of Signal Processing and Communications, Universidad de Alcalá, Alcalá de Henares 28805, Madrid, Spain)

  • Mercè Claramunt

    (Dept. Matemàtica Econòmica, Financera i Actuarial, Universitat de Barcelona, Barcelona 08034, Spain)

  • Ana Castañer

    (Dept. Matemàtica Econòmica, Financera i Actuarial, Universitat de Barcelona, Barcelona 08034, Spain)

  • Maite Mármol

    (Dept. Matemàtica Econòmica, Financera i Actuarial, Universitat de Barcelona, Barcelona 08034, Spain)

Abstract

This paper is focused on solving different hard optimization problems that arise in the field of insurance and, more specifically, in reinsurance problems. In this area, the complexity of the models and assumptions considered in the definition of the reinsurance rules and conditions produces hard black-box optimization problems (problems in which the objective function does not have an algebraic expression, but it is the output of a system (usually a computer program)), which must be solved in order to obtain the optimal output of the reinsurance. The application of traditional optimization approaches is not possible in this kind of mathematical problem, so new computational paradigms must be applied to solve these problems. In this paper, we show the performance of two evolutionary and swarm intelligence techniques (evolutionary programming and particle swarm optimization). We provide an analysis in three black-box optimization problems in reinsurance, where the proposed approaches exhibit an excellent behavior, finding the optimal solution within a fraction of the computational cost used by inspection or enumeration methods.

Suggested Citation

  • Sancho Salcedo-Sanz & Leo Carro-Calvo & Mercè Claramunt & Ana Castañer & Maite Mármol, 2014. "Effectively Tackling Reinsurance Problems by Using Evolutionary and Swarm Intelligence Algorithms," Risks, MDPI, vol. 2(2), pages 1-14, April.
    • Handle: RePEc:gam:jrisks:v:2:y:2014:i:2:p:132-145:d:34640
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    References listed on IDEAS

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    Cited by:

    1. Massimiliano Kaucic & Roberto Daris, 2015. "Multi-Objective Stochastic Optimization Programs for a Non-Life Insurance Company under Solvency Constraints," Risks, MDPI, vol. 3(3), pages 1-30, September.

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