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Modeling the Dynamics of the Frequent Users of Electronic Commerce in Spain Using Optimization Techniques for Inverse Problems with Uncertainty

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Abstract

In this paper, we retrieve data about the frequent users of electronic commerce during the period 2011–2016 from the Spanish National Institute of Statistics. These data, coming from surveys, have intrinsic uncertainty that we describe using appropriate random variables. Then, we propose a stochastic model to study the dynamics of frequent users of electronic commerce. The goal of this paper is to solve the inverse problem that consists of determining the model parameters as suitable parametric random variables, in such a way the model output be capable of capturing the data uncertainty, at the time instants where sample data are available, via adequate probability density functions. To achieve the aforementioned goal, we propose a computational procedure that involves building a nonlinear objective function, based on statistical moment measures, to be minimized using a variation of the particle swarm optimization algorithm.

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Acknowledgements

This work has been supported by the Ministerio de Economía, Industria y Competitividad Grant MTM2017-89664-P.

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Authors and Affiliations

  1. Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, 46022, Valencia, Spain

    Clara Burgos, Juan-Carlos Cortés, David Martínez-Rodríguez & Rafael-J. Villanueva

  2. Facultad de Ingeniería Civil, Campus Ibagué, Universidad Cooperativa de Colombia, Calle 10 No 1-120 Ed., Urrutia, Ibagué, Colombia

    Iván-Camilo Lombana

Authors
  1. Clara Burgos
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  2. Juan-Carlos Cortés
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  3. Iván-Camilo Lombana
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  4. David Martínez-Rodríguez
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  5. Rafael-J. Villanueva
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Correspondence to Juan-Carlos Cortés.

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Burgos, C., Cortés, JC., Lombana, IC. et al. Modeling the Dynamics of the Frequent Users of Electronic Commerce in Spain Using Optimization Techniques for Inverse Problems with Uncertainty. J Optim Theory Appl 182, 785–796 (2019). https://doi.org/10.1007/s10957-018-1382-6

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  • DOI: https://doi.org/10.1007/s10957-018-1382-6

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