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A mathematical model proposal for cost-effective course planning in large hierarchical organizations

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  • Karamalak, Levent
  • Sabuncuoglu, Ihsan
  • Ozkil, Altan

Abstract

Hierarchical organizations, especially in government agencies, are known by their pyramidal structures and continuous training needs resulting from promotions and/or assignments. Using scientific and rational methods in the job analysis/description, recruitment/selection, assignment, performance appraisal and career planning functions of human resource management (HRM) process decreases training costs. In this study, we develop a new chain of methodologies (the cost-effective course planning model (CECPM)) to decrease training costs and increase the level of specialization. This methodology is implemented in the following steps of the HRM process: (1) the job analysis/description step, where our Mission Description Matrix defines in measurable units the amount of training needed for an employee assigned to a position, (2) the career matrix step, where the minimum training costs for an employee’s career path are determined using our network-flow model and (3) the assignment step, where we propose a decision support system composed of an analytical hierarchy process, linear programming and Pareto optimality analysis. The results indicate that our proposed system ensures minimum training needs while satisfying person-to-position compatibility and personnel’s preferences.

Suggested Citation

  • Karamalak, Levent & Sabuncuoglu, Ihsan & Ozkil, Altan, 2014. "A mathematical model proposal for cost-effective course planning in large hierarchical organizations," European Journal of Operational Research, Elsevier, vol. 238(2), pages 579-595.
  • Handle: RePEc:eee:ejores:v:238:y:2014:i:2:p:579-595
    DOI: 10.1016/j.ejor.2014.04.014
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    References listed on IDEAS

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    1. International Monetary Fund, 2004. "The Internal Job Market of the IMF's Economist Program," IMF Working Papers 2004/190, International Monetary Fund.
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    3. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
    4. Armacost, Andrew P. & Lowe, James K., 2005. "Decision support for the career field selection process at the US Air Force Academy," European Journal of Operational Research, Elsevier, vol. 160(3), pages 839-850, February.
    5. Allen Holder, 2005. "Navy Personnel Planning and the Optimal Partition," Operations Research, INFORMS, vol. 53(1), pages 77-89, February.
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