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The multivariate non-homogeneous Markov manpower system in a departmental mobility framework

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  • Dimitriou, V.A.
  • Georgiou, A.C.
  • Tsantas, N.

Abstract

The present paper proposes a non-homogeneous multivariate Markov manpower system in the general category of mathematical human resource planning. More specifically, we suggest a model, which takes into account the divisions existing in an organization categorizing its employees into several groups (departments). In this context, it considers not only possible transitions within the departments (intra-department transitions), but also, transfers of personnel between departments (inter-department transitions). Additionally, the proposed modeling structure is accompanied by cost and stocks (personnel) objectives which are set and in the sequel could be achieved by controlling either the recruitment policy or the allocation policy of employees transferred to other departments (or both). We use a minmax fuzzy goal-programming approach, under different operating assumptions, in order to keep the operational cost below desired aspiration levels and reach desirable stock structures in the presence of system’s constraints and regulations. The paper concludes with a numerical illustration.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:228:y:2013:i:1:p:112-121
    DOI: 10.1016/j.ejor.2012.12.014
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    References listed on IDEAS

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    1. G. Vasiliadis & G. Tsaklidis, 2008. "On the Distributions of the State Sizes of Discrete Time Homogeneous Markov Systems," Methodology and Computing in Applied Probability, Springer, vol. 10(1), pages 55-71, March.
    2. Yaghoobi, M.A. & Tamiz, M., 2007. "A method for solving fuzzy goal programming problems based on MINMAX approach," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1580-1590, March.
    3. Georgiou, A. C., 1999. "Aspirations and priorities in a three phase approach of a nonhomogeneous Markov system," European Journal of Operational Research, Elsevier, vol. 116(3), pages 565-583, August.
    4. Ioannis Giannikos & Panagiotis Polychroniou, 2009. "A fuzzy goal programming model for task allocation in teamwork," International Journal of Human Resources Development and Management, Inderscience Enterprises Ltd, vol. 9(1), pages 97-115.
    5. 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.
    6. 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.
    7. 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.
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    Cited by:

    1. Brecht Verbeken & Marie-Anne Guerry, 2021. "Discrete Time Hybrid Semi-Markov Models in Manpower Planning," Mathematics, MDPI, vol. 9(14), pages 1-13, July.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.

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