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A Renewal Approach with Variable Number of Promotion and Recruitment in A Graded Manpower System with Double Jump

Received: 19 February 2014     Accepted: 21 May 2014     Published: 30 May 2014
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Abstract

The use of the Renewal approach for the prediction of flows, entries and grade sizes as well as for control in systems where movement is restricted only to, the next higher level has been studied by many; promotions and recruitments were defined as expected numbers rather random numbers whereas, in reality, promotions and recruitments are often random variables. Few works on Renewal approach for a manpower system with double jump have assumed that promotion and recruitment are expected numbers. In the present work, we define promotions and recruitments as random variables and obtain their expectations and variances in a manpower system with single and double jumps.

Published in Journal of Human Resource Management (Volume 2, Issue 2)
DOI 10.11648/j.jhrm.20140202.11
Page(s) 33-41
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2014. Published by Science Publishing Group

Keywords

Renewal Approach, Random Promotion, Random Recruitment, Expectations and Variances, Double Jump

References
[1] Stewman S. (1978), Markov and Renewal Models for Total Manpower System, Omega Journal, Vol. 6, No.4, 341-351.
[2] Price, W.I., Martel and Lewis, K.A. (1980), A Review of Mathematical Models in Human Resource Planning; Omega, Vol. 5, No. 6, 639-645
[3] Uche P.I. (1984), Models for Some Stochastic Systems, International Journal of Mathematics Education in Science and Technology, Vol. 15, No. 6, pp 737-743.
[4] Sirvanci, M. (1984), Forecasting Manpower losses by the use of Renewal Models, Europeon Journal of Operational Research, Vol.16, No. 4, 13-18.
[5] Bartholomew, D.J., Forbes, A., McClean, S. (1991),Statistical Techniques for Man-power Planning; 2ndedn, Wiley, Chichester 139-146.
[6] Davies, G.S.(1975), Maintainability of Structures in Markov Chain Models Under Recruitment Control; Journal of Applied Probability, Vol. 12, 376 – 382.
[7] Ossai, E.O. (2008), Statistical Control Models in Graded and Depart-mentalized Manpower System, Ph. D Thesis, Department of Statistics, University of Nigeria, Nsukka.
[8] Raghavendra B.(1991), A Bivariate Model for Markov Manpower Planning Sys-tems, Journal of Operational Research Society Vol.12, 565-570.
[9] Bartholomew, D.J. (1963a), A Multi-Stage Renewal Process, Journal of Royal Statistical Society, B25, 150 – 168.
[10] Nwaigwe C.C. (2011), A Renewal Theoretical Model for Double Jump in Graded Manpower System, Journal of Nigerian Statistical Association, Vol. 23, 22-35
[11] Nwaigwe C. C. (2011), A renewal model with Duration in a grade for manpower Planning, Journal of Interdis-ciplinary Mathematics, Vol. 14, 463-469.
[12] Mood A. M., Graybill F. A. and Boes C. D. (1962).Introduction to the Theory of Statistics, 3rd ed., Mc Gray-Hill series.
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  • APA Style

    Nwaigwe, Chrysogonus Chinagorom. (2014). A Renewal Approach with Variable Number of Promotion and Recruitment in A Graded Manpower System with Double Jump. Journal of Human Resource Management, 2(2), 33-41. https://doi.org/10.11648/j.jhrm.20140202.11

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    ACS Style

    Nwaigwe; Chrysogonus Chinagorom. A Renewal Approach with Variable Number of Promotion and Recruitment in A Graded Manpower System with Double Jump. J. Hum. Resour. Manag. 2014, 2(2), 33-41. doi: 10.11648/j.jhrm.20140202.11

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    AMA Style

    Nwaigwe, Chrysogonus Chinagorom. A Renewal Approach with Variable Number of Promotion and Recruitment in A Graded Manpower System with Double Jump. J Hum Resour Manag. 2014;2(2):33-41. doi: 10.11648/j.jhrm.20140202.11

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  • @article{10.11648/j.jhrm.20140202.11,
      author = {Nwaigwe and Chrysogonus Chinagorom},
      title = {A Renewal Approach with Variable Number of Promotion and Recruitment in A Graded Manpower System with Double Jump},
      journal = {Journal of Human Resource Management},
      volume = {2},
      number = {2},
      pages = {33-41},
      doi = {10.11648/j.jhrm.20140202.11},
      url = {https://doi.org/10.11648/j.jhrm.20140202.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.jhrm.20140202.11},
      abstract = {The use of the Renewal approach for the prediction of flows, entries and grade sizes as well as for control in systems where movement is restricted only to, the next higher level has been studied by many; promotions and recruitments were defined as expected numbers rather random numbers whereas, in reality, promotions and recruitments are often random variables. Few works on Renewal approach for a manpower system with double jump have assumed that promotion and recruitment are expected numbers. In the present work, we define promotions and recruitments as random variables and obtain their expectations and variances in a manpower system with single and double jumps.},
     year = {2014}
    }
    

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    AB  - The use of the Renewal approach for the prediction of flows, entries and grade sizes as well as for control in systems where movement is restricted only to, the next higher level has been studied by many; promotions and recruitments were defined as expected numbers rather random numbers whereas, in reality, promotions and recruitments are often random variables. Few works on Renewal approach for a manpower system with double jump have assumed that promotion and recruitment are expected numbers. In the present work, we define promotions and recruitments as random variables and obtain their expectations and variances in a manpower system with single and double jumps.
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