A mathematical model of optimal control for addictive buying: predicting the population behavior

Authors

  • Prasertjitsun Graduate Student in Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand
  • Koonprasert S Associate Professor in Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand
  • Chavanasporn W Assistant Professor in Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand

Keywords:

Addictive buying, Compartmental model, Compulsive buying, Modeling, Optimal Control

Abstract

This article deals with the construction of an optimal control problem model for addictive buying. In our model, we divided the population into three classes rational buyers, excessive buyers, and addictive buyers. The division of the total population into subgroups according to activity or identifications of consumer's buying behavior was done by multivariate statistical techniques based on real databases and sociological approaches. The future short term addicted population is computed assuming several future economic scenarios. The forward-backward sweep method is developed to solve the optimal control problem models for addictive buying.

References

D. W. Black, “A reviewof compulsive buying disorder,” World Psychiatry, vol. 6, no. 1, p. 14, 2007.

I. García, L. Jódar, P. Merello, and F.-J. Santonja, “A discrete mathematical model for addictive buying: predicting the affected population evolution,” Mathematical and Computer Modelling, vol. 54, no. 7-8, pp. 1634–1637, 2011.

C. M. Silva, S. Rosa, H. Alves, and P. G. Carvalho, “A mathematical model for the customer dynamics based on marketing policy,”

Applied Mathematics and Computation, vol. 273, pp. 42–53, 2016.

S. Rosa, P. Rebelo, C. M. Silva, H. Alves, and P. G. Carvalho, “Optimal control of the customer dynamics based on marketing policy,” Applied Mathematics and Computation, vol. 330, pp. 42–55, 2018.

K. Kandhway and J. Kuri, “How to run a campaign: Optimal control of sis and sir information epidemics,” Applied Mathematics and

Computation, vol. 231, pp. 79–92, 2014.

S. Lenhart and J. T. Workman, Optimal control applied to biological models. Chapman and Hall/CRC, 2007.

“Thailand consumer confidence | 2019 | data | chart | calendar | forecast.”https://tradingeconomics.com/thailand/consumerconfidence. [Last accessed on: January 13, 2019]

Alipour, M., and M. A. Vali. "Appling homotopy analysis method to solve optimal control problems governed by Volterra integral

equations." J Comput Sci Comput Math 5, 41-7, 2015.

Downloads

Published

2024-02-26

How to Cite

Prasertjitsun, T., Koonprasert, S., & Chavanasporn, W. (2024). A mathematical model of optimal control for addictive buying: predicting the population behavior. COMPUSOFT: An International Journal of Advanced Computer Technology, 9(04), 3611–3616. Retrieved from https://ijact.in/index.php/j/article/view/560

Issue

Vol. 9 No. 04 (2020): April

Section

Review Article

License

Copyright (c) 2020 COMPUSOFT: An International Journal of Advanced Computer Technology

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

©2023. COMPUSOFT: AN INTERNATIONAL OF ADVANCED COMPUTER TECHNOLOGY by COMPUSOFT PUBLICATION is licensed under a Creative Commons Attribution 4.0 International License. Based on a work at COMPUSOFT: AN INTERNATIONAL OF ADVANCED COMPUTER TECHNOLOGY. Permissions beyond the scope of this license may be available at Creative Commons Attribution 4.0 International Public License.

Similar Articles

<< < 1 2 3 4 5 6 7 8 9 10 > >> 

You may also start an advanced similarity search for this article.