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Mathematical Modeling for Optimal Management of Human Resources in Banking Sector of Bangladesh

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  • Uzzwal Kumar Mallick
  • Md. Haider Ali Biswas

Abstract

A new mathematical model on human resources divided employees into two compartments, namely, fresher and expert employees, has been designed and analyzed. A system of ordinary nonlinear differential equations has three state variables including vacancies. This model describes the dynamics of the number of fresher employees and expert employees as well as vacancies and shows the impacts of training programs and benefits of provided facilities for employees. The equilibria of this proposed model are determined, and its stability at these points is checked. Moreover, characteristics of state variables with respect to parameters have been discussed. Using two optimal control variables, this study finds the maximum number of experts including the minimum cost of provided facilities as well as the training program based on Pontryagin’s maximum principle.

Suggested Citation

  • Uzzwal Kumar Mallick & Md. Haider Ali Biswas, 2023. "Mathematical Modeling for Optimal Management of Human Resources in Banking Sector of Bangladesh," Journal of Applied Mathematics, John Wiley & Sons, vol. 2023(1).
    • Handle: RePEc:wly:jnljam:v:2023:y:2023:i:1:n:1321365
    DOI: 10.1155/2023/1321365
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    References listed on IDEAS

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    1. Hasebur Rahman, 2014. "Training and Job Satisfaction for Organizational Effectiveness: A Case Study from the Banking Sector," Central European Business Review, Prague University of Economics and Business, vol. 2014(1), pages 27-34.
    2. Md. Zahidul Islam, 2015. "Efficiency of Training: A Comparative Study on some Selected Commercial Banks in Bangladesh," Journal of Asian Business Strategy, Asian Economic and Social Society, vol. 5(6), pages 116-124.
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