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Optimizing cost-effectiveness in a stochastic Markov manpower planning system under control by recruitment

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  • Tim De Feyter

    (KU Leuven)

  • Marie-Anne Guerry

    (Vrije Universiteit Brussel)

  • Komarudin

    (Universitas Indonesia)

Abstract

The present paper proposes a mathematical model and algorithm for optimizing cost-effectiveness in a stochastic manpower planning system under control by recruitment. More specifically, we suggest a multi-objective model that simultaneously addresses two objectives, namely minimizing the cost and maximizing the desirability degree of the attained personnel structure. In a stochastic environment, the uncontrollable parameters of the manpower model (i.e. internal transitions and wastage) are random variables. We suggest a scenario approach in order to cope with this uncertainty. The optimization problem under study is formulated as a mixed integer program. Further, in order to decrease the computing time in solving the optimization problem, we show that the optimal recruitment strategy has some properties that enable narrowing the solution space.

Suggested Citation

  • Tim De Feyter & Marie-Anne Guerry & Komarudin, 2017. "Optimizing cost-effectiveness in a stochastic Markov manpower planning system under control by recruitment," Annals of Operations Research, Springer, vol. 253(1), pages 117-131, June.
    • Handle: RePEc:spr:annopr:v:253:y:2017:i:1:d:10.1007_s10479-016-2311-4
    DOI: 10.1007/s10479-016-2311-4
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    References listed on IDEAS

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    1. 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.
    2. Komarudin, & Guerry, Marie-Anne & De Feyter, Tim & Vanden Berghe, Greet, 2013. "The roster quality staffing problem – A methodology for improving the roster quality by modifying the personnel structure," European Journal of Operational Research, Elsevier, vol. 230(3), pages 551-562.
    3. A.T. Ernst & H. Jiang & M. Krishnamoorthy & B. Owens & D. Sier, 2004. "An Annotated Bibliography of Personnel Scheduling and Rostering," Annals of Operations Research, Springer, vol. 127(1), pages 21-144, March.
    4. Komarudin & Tim De Feyter & Marie-Anne Guerry & Greet Vanden Berghe, 2016. "Balancing desirability and promotion steadiness in partially stochastic manpower planning systems," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(6), pages 1805-1818, March.
    5. Pieter Smet & Burak Bilgin & Patrick De Causmaecker & Greet Vanden Berghe, 2014. "Modelling and evaluation issues in nurse rostering," Annals of Operations Research, Springer, vol. 218(1), pages 303-326, July.
    6. M-A Guerry & T De Feyter, 2012. "Optimal recruitment strategies in a multi-level manpower planning model," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(7), pages 931-940, July.
    7. McClean, Sally, 1991. "Manpower planning models and their estimation," European Journal of Operational Research, Elsevier, vol. 51(2), pages 179-187, March.
    8. Komarudin & Marie-Anne Guerry & Greet Vanden Berghe & Tim De Feyter, 2015. "Balancing attainability, desirability and promotion steadiness in manpower planning systems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 66(12), pages 2004-2014, December.
    9. P.-C. G. Vassiliou & A. C. Georgiou, 1990. "Asymptotically Attainable Structures in Nonhomogeneous Markov Systems," Operations Research, INFORMS, vol. 38(3), pages 537-545, June.
    10. Dimitriou, V.A. & Georgiou, A.C. & Tsantas, N., 2013. "The multivariate non-homogeneous Markov manpower system in a departmental mobility framework," European Journal of Operational Research, Elsevier, vol. 228(1), pages 112-121.
    11. Tim De Feyter, 2006. "Modelling heterogeneity in manpower planning: dividing the personnel system into more homogeneous subgroups," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 22(4), pages 321-334, July.
    12. Asis Chattopadhyay & Arindam Gupta, 2007. "A stochastic manpower planning model under varying class sizes," Annals of Operations Research, Springer, vol. 155(1), pages 41-49, November.
    13. Tim Feyter, 2007. "Modeling mixed push and pull promotion flows in Manpower Planning," Annals of Operations Research, Springer, vol. 155(1), pages 25-39, November.
    14. F.I. Ugwuowo & S.I. McClean, 2000. "Modelling heterogeneity in a manpower system: a review," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 16(2), pages 99-110, April.
    15. A. C. Georgiou & N. Tsantas, 2002. "Modelling recruitment training in mathematical human resource planning," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 18(1), pages 53-74, January.
    16. Aleka Papadopoulou & George Tsaklidis, 2007. "Some Reward Paths in Semi-Markov Models with Stochastic Selection of the Transition Probabilities," Methodology and Computing in Applied Probability, Springer, vol. 9(3), pages 399-411, September.
    17. Burak Bilgin & Patrick Causmaecker & Benoît Rossie & Greet Vanden Berghe, 2012. "Local search neighbourhoods for dealing with a novel nurse rostering model," Annals of Operations Research, Springer, vol. 194(1), pages 33-57, April.
    18. N. Tsantas & A. C. Georgiou, 1997. "Partial maintainability of a population model in a stochastic environment," Applied Stochastic Models and Data Analysis, John Wiley & Sons, vol. 13(3‐4), pages 183-189, September.
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