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Optimal Production Planning Strategy for Deteriorating Items in Terms of Emission Tax, Pollution, and R&D Investment

In: Emerging Challenges in Business, Optimization, Technology, and Industry

Author

Listed:
  • Lotfi Tadj

    (Fairleigh Dickinson University)

  • Ajay K. Garg

    (Fairleigh Dickinson University)

  • Abdelouahed Hamdi

    (Qatar University)

Abstract

Firms are faced with the question of what policies to implement to ensure efficient abatement behavior? In this paper, we aim to determine the optimal production rate and the optimal investment rate in pollution abatement technology. The situation is modeled as an optimal control problem with two state variables and two control variables. The optimal trajectories, the optimal control, and the optimal objective function value are obtained explicitly in both cases where the firm adopts either a continuous-review policy or a periodic-review policy. A numerical example is presented.

Suggested Citation

  • Lotfi Tadj & Ajay K. Garg & Abdelouahed Hamdi, 2018. "Optimal Production Planning Strategy for Deteriorating Items in Terms of Emission Tax, Pollution, and R&D Investment," Springer Proceedings in Business and Economics, in: Lotfi Tadj & Ajay K. Garg (ed.), Emerging Challenges in Business, Optimization, Technology, and Industry, pages 119-141, Springer.
  • Handle: RePEc:spr:prbchp:978-3-319-58589-5_8
    DOI: 10.1007/978-3-319-58589-5_8
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