A procedure for distributing recruits in manpower systems
DOI:
https://doi.org/10.2298/YJOR131219031EKeywords:
Gani-type person-flow model, manpower system, Markov chain, National Universities Commission, recruitment distributionAbstract
In this paper, we treat the following problem: Given a stable Gani-type personflow model and assuming no negative recruitment, what recruitment distribution at the n − step is capable of generating a staff-mix that closely follows the desired structure? We relate the problem to the challenge of universities in Nigeria towards reaching the desired academic staff-mix by rank specified by the National Universities Commission (NUC). We formulate a population-dynamic model consisting of aggregate-fractional flow balance equations within a discrete-time Markov chain framework for the system. We use MATLas a convenient platform to solve the system of equations. The utility of the model is illustrated by means of academic staff flows in a university-faculty setting in Nigeria.References
Bartholomew, D. J., Forbes, A. F., and McClean, S. I., Statistical techniques for manpower planning (2nd ed.), John Wiley & Sons, Chichester, 1991.
Chapman, S. J., Essentials of MATLAB programming (2nd ed.), Cengage Learning, USA, 2009.
Davies, G. S., “Control of grade sizes in a partially stochastic Markov manpower model”, Journal of Applied Probability, 19 (2) (1982) 439-443.
Ekhosuehi, V. U., “Evaluation of career patterns of academic staff in a faculty in the University of Benin, Nigeria”, Ife Journal of Science, 15 (1) (2013) 81-91.
Ekhosuehi, V. U. and Osagiede, A. A., “A proposed Markov model for predicting the structure of a multi-echelon educational system in Nigeria”, Monografias Matematicas Garcia de Galdeano, 38 (2013) 65-74.
Feichtinger, G., “On the generalization of stable age distributions to Gani-type person-flow models”, Advances in Applied Probability, 8 (3) (1976) 433 – 445.
Gani, J., “Formulae for projecting enrolments and degrees awarded in universities”, Journal of the Royal Statistical Society, Series A (General), 126 (3) (1963) 400-409.
Gerontidis, I. I., “On certain aspects of non-homogeneous Markov systems in continuous time”, Journal of Applied Probability, 27 (3) (1990) 530-544.
Guerry, M. A., “Properties of calculated predictions of graded sizes and the associated integer valued vectors”, Journal of Applied Probability, 34 (1) (1997) 94-100.
Hahn, B. and Valentine, D., Essential MATLAB for engineers and scientists (4th ed.), Elsevier Ltd., UK, 2010.
Haigh, J., “Stability of manpower systems”. The Journal of the Operational Research Society, 43 (8) (1992) 753-764.
Kipouridis, I. and Tsaklidis, G., “The size order of the state vector of discrete-time homogeneous Markov systems”, Journal of Applied Probability, 38 (2) (2001) 357-368.
Nicholls, M. G., “The use of Markov models as an aid to the evaluation, planning and benchmarking of doctoral programs”, Journal of the Operational Research Society, 60 (2009) 1183-1190.
Osasona, O., “Tools for academic planning”, In: Uvah, I. I. (Editor), Practical Guide on Academic Planning in Nigerian Universities: A Compendium of Academic Planning Tools, (2012) 62-105.
Tsaklidis, G. M., “The evolution of the attainable structures of a homogeneous Markov system with fixed size”, Journal of Applied Probability, 31 (2) (1994) 348-361.
Tsantas, N. and Vassiliou, P.-C. G., “The non-homogeneous Markov system in a stochastic environment”, Journal of Applied Probability, 30 (2) (1993) 285-301.
Vassiliou, P. –C. G., “A note on stability in Gani-type models in manpower systems”, Journal of the Operational Research Society, 31 (1980) 953-954.
Vassiliou, P. –C. G. and Georgiou, A. C., “Asymptotically attainable structures in nonhomogeneous Markov systems”, Operations Research, 38 (3) (1990) 537-545.
Vassiliou, P. –C. G. and Gerontidis, I., “Variances and Covariances of the grade sizes in manpower systems”, Journal of Applied Probability, 22 (3) (1985) 583-597.
Vassiliou, P. –C. G. and Tsaklidis, G., “The rate of convergence of the vector of variances and covariances in non-homogeneous Markov systems”, Journal of Applied Probability, 26 (4) (1989) 776-783.
Vassiliou, P. –C. G. and Tsantas, N., “Maintainability of structures in nonhomogeneous Markov systems under cyclic behaviour and input control”, SIAM Journal on Applied Mathematics, 44 (5) (1984) 1014-1022.
Vassiliou, P. –C. G., Georgiou, A. C. and Tsantas, N., “Control of asymptotic variability in non-homogeneous Markov systems”, Journal of Applied Probability, 27 (4) (1990) 756-766.
Downloads
Published
Issue
Section
License
Copyright (c) 2015 YUJOR
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.