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Optimal Control of a Graded Manpower System

Author

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  • Richard C. Grinold

    (University of California, Berkeley)

  • Robert E. Stanford

    (University of California, Berkeley)

Abstract

We consider a fractional flow model of a graded manpower system and develop algorithms for calculating optimal control policies in four situations: (i) finite time horizons with no constraints on staff distributions, (ii) finite time horizon with constraints on final staff distribution, (iii) infinite horizon with constraints on staff distribution and (iv) problems with a nonstationary transient stage and an infinite stationary stage. In each case results developed in solving the simpler problems are useful in analyzing more complicated situations. In addition to providing computational procedures we apply the algorithms to a three rank model and discuss the possible uses and limitations of our procedure.

Suggested Citation

  • Richard C. Grinold & Robert E. Stanford, 1974. "Optimal Control of a Graded Manpower System," Management Science, INFORMS, vol. 20(8), pages 1201-1216, April.
    • Handle: RePEc:inm:ormnsc:v:20:y:1974:i:8:p:1201-1216
    DOI: 10.1287/mnsc.20.8.1201
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    Cited by:

    1. Michael J. Fry & Michael J. Magazine & Uday S. Rao, 2006. "Firefighter Staffing Including Temporary Absences and Wastage," Operations Research, INFORMS, vol. 54(2), pages 353-365, April.
    2. 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.
    3. Noah Gans & Yong-Pin Zhou, 2002. "Managing Learning and Turnover in Employee Staffing," Operations Research, INFORMS, vol. 50(6), pages 991-1006, December.
    4. Jayaram K. Sankaran, 1995. "Short‐term retrenchment planning in hierarchical manpower systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(5), pages 821-837, August.
    5. Georgiou, A. C. & Vassiliou, P. -C. G., 1997. "Cost models in nonhomogeneous Markov systems," European Journal of Operational Research, Elsevier, vol. 100(1), pages 81-96, July.
    6. Edieal J. Pinker & Robert A. Shumsky, 2000. "The Efficiency-Quality Trade-Off of Cross-Trained Workers," Manufacturing & Service Operations Management, INFORMS, vol. 2(1), pages 32-48, July.

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