Time to Recruitment for Organisations Having n Types of Policy Decisions with Lag Period for Non-identical Wastages

  • Manju RamalingamEmail author
  • B. Esther Clara
Conference paper
Part of the Trends in Mathematics book series (TM)


Announcements of policy decisions in organisations may result in loss of manpower (wastage) due to employees dissatisfaction. Recruiting for each loss is not a good practice because of cost and time. Hence the recruitment has to be done at the time of threshold crossing using a suitable recruitment policy. Time to recruitment has to be predicted, to avoid the complete breakdown of the organisation. The intensity of attrition may not be the same for every policy decision, so in general there may be n types of policy decisions each with different intensity. Whenever policy decisions are taken, the wastages may not occur instantaneously so the lag period for wastages is introduced in this paper. Two stochastic models have been constructed to derive the performance measures of time to recruitment with non-identical wastages and the inter-policy decision times (IPDT) as independent and identically distributed (iid) random variables (rvs) or geometric process. The impact of the parameters on performance measures are found from numerical illustrations. A better model is suggested for the prediction of the time to recruitment. The advantages of introducing lag period for wastages and the way to control the faculty flow are discussed in the conclusion.


  1. 1.
    Bartholomew, D. J.: Sufficient conditions for a mixture of exponentials to be a probability density function. Ann. Math. Statist. (1969). CrossRefGoogle Scholar
  2. 2.
    Bartholomew, D. J.: The statistical approach to manpower planning model. The Statistician. (1971). CrossRefGoogle Scholar
  3. 3.
    Bartholomew, D. J.: Statistical Problems of Predication and Control in Manpower Planning. Mathematical Scientist. 1, 133–144 (1976)Google Scholar
  4. 4.
    Bartholomew, D. J., Andrew Forbes, F.: Statistical Techniques for Manpower Planning. John Wiley and Sons, New York (1979)Google Scholar
  5. 5.
    Esary, J. D., Marshall A. W., Proschan, F.: Shock models and wear processes. Ann. Probab. (1973) MR350893MathSciNetCrossRefGoogle Scholar
  6. 6.
    Esther Clara, B.: Contributions to the Study on Some Stochastic Models in Manpower Planning. Ph.D Thesis, Bharathidasan University, Tiruchirappalli (2012)Google Scholar
  7. 7.
    Manju Ramalingam, Esther Clara, B., Srinivasan, A.: A Stochastic Model on Time to Recruitment for a Single Grade Manpower System with n Types of Policy Decisions and Correlated Wastages using Univariate CUM Policy. Aryabhatta Journal of Mathematics and Informatics. 8(2), 67–74 (2016)Google Scholar
  8. 8.
    Manju Ramalingam, Esther Clara, B., Srinivasan, A.: Time to Recruitment for a Single Grade Manpower System with Two Types of Depletion Using Univariate CUM Policy of Recruitment. Annals of Management Science. (2017).
  9. 9.
    Medhi, J. : Stochastic Processes. Third Edition, New Age International Publishers, India (2012)zbMATHGoogle Scholar
  10. 10.
    Muthaiyan, A., Sathiyamoorthi, R.: A stochastic model using geometric process for inter- arrival time between wastage. Acta Ciencia Indica. 36(4), 479–486 (2010)MathSciNetzbMATHGoogle Scholar
  11. 11.
    Revathy Sundarajan: Contributions to the study optimal replacement policies stochastic System. Ph.D Thesis. University of Madras, Chennai (1998)Google Scholar
  12. 12.
    Samuel Karlin, Howard M. Taylor: A first course in Stochastic Processes. Second Edition, Academic Press, New York (1975)Google Scholar
  13. 13.
    Sathyamoorthi, R., Elangovan, R.: Shock model approach to determine the expected time to recruitment. Journal of Decision and Mathematical Science. 3(1–3), 67–78 (1998)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.PG and Research Department of MathematicsBishop Heber CollegeTrichyIndia

Personalised recommendations