Estimation of variance of time to recruitment for a two grade manpower system with two types of decisions when the wastages form a geometric process

Parameswari; Srinivasan

doi:https://doi.org/10.14445/22315373/IJMTT-V33P523

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 33 | Number 3 | Year 2016 | Article Id. IJMTT-V33P523 | DOI : https://doi.org/10.14445/22315373/IJMTT-V33P523

Estimation of variance of time to recruitment for a two grade manpower system with two types of decisions when the wastages form a geometric process

Parameswari, Srinivasan

Citation :

Parameswari, Srinivasan, "Estimation of variance of time to recruitment for a two grade manpower system with two types of decisions when the wastages form a geometric process," International Journal of Mathematics Trends and Technology (IJMTT), vol. 33, no. 3, pp. 161-165, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V33P523

Abstract

In this paper a two graded organization is considered in which depletion of manpower occurs due to its policy decisions. Assuming that the wastages (loss in man-hours) form a geometric process and the policy decisions are classified into two types interms of their intensity of attrition, three mathematical models are constructed according to different forms of the mandatory threshold for wastages in the organization. Explicit analytical expression for the system characteristics namely mean and variance of time to recruitment are obtained for all the models using an univariate CUM policy of recruitment based on shock model approach, when the interpolicy decision times form (i) a geometric process and (ii) an order statistics. The influence of the nodal parameters on these system characteristics are studied and relevant conclusions are presented.

Keywords

Two types of policy decisions, Geometric Process, Order statistics, Univariate CUM policy of recruitment, Variance of time to recruitment.

References

[1] D.J. Barthlomew and A.F. Forbes, Statistical techniques for man power planning, John Wiley & sons, 1979.
[2] J.D. Esary, and A.W. Marshall, Shock Models and Wear Processes , Ann.Probab, Vol.1(4), pp.627-649,1973.
[3] R.C. Grinold, and K.J.Marshall, Man Power Planning, NorthHolland,Newyork (1977).
[4] K. Parameswari and A.Srinivasan Variance of time to recruitment for a two grade manpower system with two types of decisions for correlated wastage, Accepted to publish in International Journal of Innovative Research in Science, Engineering and Technology, June2016.
[5] R.Sathiyamoorthi and R. Elangovan, Shock model approach to determine the expected time for recruitment, Journal of Decision and MathematikaSciences, Vol. 3(1-3), pp. 67-78, 1998.