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A new continuous time optimal control model for manpower planning with promotion from inside the system

Author

Listed:
  • Alireza Pooya

    (Ferdowsi University of Mashhad)

  • Morteza Pakdaman

    (Climatological Research Institute)

Abstract

The aim of this paper is to face the manpower planning problem from a continuous time optimal control perspective. A new continuous-time manpower planning model is proposed in which the promotions occur inside the system. The proposed model contains four main sections: applicants, newcomers, experienced employees and supervisors (or managers). Each of these sections has a target value which we try to attain them by applying appropriate control variables, such as lay off, degradation, promotion and retirement. To attain the targets, we formulated an optimal control problem using a linear system transition equation with a quadratic cost functional. Finally, the proposed model is applied for a real-world organization as a case study.

Suggested Citation

  • Alireza Pooya & Morteza Pakdaman, 2021. "A new continuous time optimal control model for manpower planning with promotion from inside the system," Operational Research, Springer, vol. 21(1), pages 349-364, March.
    • Handle: RePEc:spr:operea:v:21:y:2021:i:1:d:10.1007_s12351-018-0431-0
    DOI: 10.1007/s12351-018-0431-0
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    References listed on IDEAS

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    1. Richard C. Grinold & Robert E. Stanford, 1974. "Optimal Control of a Graded Manpower System," Management Science, INFORMS, vol. 20(8), pages 1201-1216, April.
    2. Anna-Maria Mouza, 2010. "Application of optimal control in man power planning," Quality & Quantity: International Journal of Methodology, Springer, vol. 44(2), pages 199-215, February.
    3. Alexis Lazaridis, 2015. "Dynamic Systems in Management Science," Palgrave Macmillan Books, Palgrave Macmillan, number 978-1-137-50892-8, October.
    4. Ku, Cheng-Yuan & Yen, David C. & Chang, I-Chiu & Huang, Shi-Ming & Jordan, Scott, 2006. "Near-optimal control policy for loss networks," Omega, Elsevier, vol. 34(4), pages 406-416, August.
    5. Akaninyene Udo Udom, 2013. "Some majorisation results in optimal manpower control," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 16(3), pages 287-303.
    6. Sana Bouajaja & Najoua Dridi, 2017. "A survey on human resource allocation problem and its applications," Operational Research, Springer, vol. 17(2), pages 339-369, July.
    7. Defraeye, Mieke & Van Nieuwenhuyse, Inneke, 2016. "Staffing and scheduling under nonstationary demand for service: A literature review," Omega, Elsevier, vol. 58(C), pages 4-25.
    8. H. W. J. Lee & X. Q. Cai & K. L. Teo, 2001. "An optimal control approach to manpower planning problem," Mathematical Problems in Engineering, Hindawi, vol. 7, pages 1-21, January.
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