IDEAS home Printed from https://ideas.repec.org/a/spr/metcap/v25y2023i1d10.1007_s11009-023-10011-8.html
   My bibliography  Save this article

Effects of Prioritized Input on Human Resource Control in Departmentalized Markov Manpower Framework

Author

Listed:
  • E. O. Ossai

    (University of Nigeria)

  • M. S. Madukaife

    (University of Nigeria)

  • A. U. Udom

    (University of Nigeria)

  • U. C. Nduka

    (University of Nigeria)

  • T. E. Ugah

    (University of Nigeria)

Abstract

In this paper, extended Markov manpower models are formulated by incorporating a new class of members of a departmentalized manpower system in a homogeneous Markov manpower model. The new class, called limbo class, admits members of the system who exit to a limbo state for possible re-engagement in the active class. This results to two channels of recruitment: one from the limbo class and another from the outside environment. The idea is motivated by the need to preserve trained and experienced individuals who could be lost in times of financial crises or due to contract completion. The control aspect of the manpower structure under the extended models are examined. Under suitable stochastic condition for the flow matrices, it is proved that the maintainability of the manpower structure through promotion does not depend on the structural form of the limbo class when the system is expanding with priority on recruitment from outside environment, nor on the structural form of the active class when the system is shrinking with priority on recruitment from the limbo class. Necessary and sufficient conditions for maintainability of the manpower structure through recruitment in the case of expanding systems are also established with proofs.

Suggested Citation

  • E. O. Ossai & M. S. Madukaife & A. U. Udom & U. C. Nduka & T. E. Ugah, 2023. "Effects of Prioritized Input on Human Resource Control in Departmentalized Markov Manpower Framework," Methodology and Computing in Applied Probability, Springer, vol. 25(1), pages 1-19, March.
  • Handle: RePEc:spr:metcap:v:25:y:2023:i:1:d:10.1007_s11009-023-10011-8
    DOI: 10.1007/s11009-023-10011-8
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11009-023-10011-8
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s11009-023-10011-8?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Van Den Eeckhout, M. & Vanhoucke, M. & Maenhout, B., 2020. "A decomposed branch-and-price procedure for integrating demand planning in personnel staffing problems," European Journal of Operational Research, Elsevier, vol. 280(3), pages 845-859.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Vasileios A Dimitriou & Andreas C Georgiou & Nikolas Tsantas, 2015. "On the equilibrium personnel structure in the presence of vertical and horizontal mobility via multivariate Markov chains," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 66(6), pages 993-1006, June.
    7. Brecht Verbeken & Marie-Anne Guerry, 2021. "Discrete Time Hybrid Semi-Markov Models in Manpower Planning," Mathematics, MDPI, vol. 9(14), pages 1-13, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. Mariel Lavieri & Martin Puterman, 2009. "Optimizing nursing human resource planning in British Columbia," Health Care Management Science, Springer, vol. 12(2), pages 119-128, June.
    4. Andreas C. Georgiou & Alexandra Papadopoulou & Pavlos Kolias & Haris Palikrousis & Evanthia Farmakioti, 2021. "On State Occupancies, First Passage Times and Duration in Non-Homogeneous Semi-Markov Chains," Mathematics, MDPI, vol. 9(15), pages 1-17, July.
    5. Komarudin & Tim De Feyter & Marie-Anne Guerry & Greet Vanden Berghe, 2020. "The extended roster quality staffing problem: addressing roster quality variation within a staffing planning period," Journal of Scheduling, Springer, vol. 23(2), pages 253-264, April.
    6. Onggo, S. & Pidd, M. & Soopramanien, D. & Worthington, D.J., 2012. "Behavioural modelling of career progression in the European Commission," European Journal of Operational Research, Elsevier, vol. 222(3), pages 632-641.
    7. Marie Doumic & Benoît Perthame & Edouard Ribes & Delphine Salort & Nathan Toubiana, 2016. "Toward an integrated workforce planning framework using structured equations," Working Papers hal-01343368, HAL.
    8. 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.
    9. Georgiou, Andreas C. & Thanassoulis, Emmanuel & Papadopoulou, Alexandra, 2022. "Using data envelopment analysis in markovian decision making," European Journal of Operational Research, Elsevier, vol. 298(1), pages 276-292.
    10. Mick Van Den Eeckhout & Broos Maenhout & Mario Vanhoucke, 2020. "Mode generation rules to define activity flexibility for the integrated project staffing problem with discrete time/resource trade-offs," Annals of Operations Research, Springer, vol. 292(1), pages 133-160, September.
    11. Leo MacDonald & Jomon Aliyas Paul, 2024. "A risk analytics model for strategic workforce planning: readiness of enlisted military personnel," Annals of Operations Research, Springer, vol. 338(1), pages 513-533, July.
    12. Maria Symeonaki, 2015. "Theory of fuzzy non homogeneous Markov systems with fuzzy states," Quality & Quantity: International Journal of Methodology, Springer, vol. 49(6), pages 2369-2385, November.
    13. Mark Kiermayer & Christian Wei{ss}, 2022. "Neural calibration of hidden inhomogeneous Markov chains -- Information decompression in life insurance," Papers 2201.02397, arXiv.org.
    14. 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.
    15. Nikolaos Stavropoulos & Alexandra Papadopoulou & Pavlos Kolias, 2021. "Evaluating the Efficiency of Off-Ball Screens in Elite Basketball Teams via Second-Order Markov Modelling," Mathematics, MDPI, vol. 9(16), pages 1-13, August.
    16. Seyed Hossein Razavi Hajiagha & Jalil Heidary-Dahooie & Ieva Meidutė-Kavaliauskienė & Kannan Govindan, 2022. "A new dynamic multi-attribute decision making method based on Markov chain and linear assignment," Annals of Operations Research, Springer, vol. 315(1), pages 159-191, August.
    17. Marie Doumic & Beno^it Perthame & Edouard Ribes & Delphine Salort & Nathan Toubiana, 2016. "Toward an integrated workforce planning framework using structured equations," Papers 1607.02349, arXiv.org, revised Dec 2016.
    18. Marie Doumic & Benoît Perthame & Edouard Ribes & Delphine Salort & Nathan Toubiana, 2017. "Toward an integrated workforce planning framework using structured equations," Post-Print hal-01343368, HAL.
    19. X Zhu & H D Sherali, 2009. "Two-stage workforce planning under demand fluctuations and uncertainty," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 94-103, January.
    20. A Filinkov & M Richmond & R Nicholson & M Alshansky & J Stewien, 2011. "Modelling personnel sustainability: a tool for military force structure analysis," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(8), pages 1485-1497, August.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:metcap:v:25:y:2023:i:1:d:10.1007_s11009-023-10011-8. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.