Skip to main content

Analysis on Time to Recruitment in a Three-Grade Marketing Organization Having Classified Sources of Depletion of Two Types with an Extended Threshold and Shortage in Manpower Forms Geometric Process

  • Conference paper
  • First Online:
Advances in Algebra and Analysis

Part of the book series: Trends in Mathematics ((TM))

  • 511 Accesses

Abstract

Shortage in manpower owing to classified sources of depletion takes place in any marketing organizations. As frequent recruitment involves cost and time, it is not advisable to recruit as when the shortage in manpower occurs. Since the shortage in manpower and the inter-decision times are probabilistic, the organization requires appropriate recruitment policy for recruiting personnel. In this paper, the problem of time to recruitment based on shock model approach is studied by considering classified policy and transfer decisions when the shortage in manpower due to policy decisions forms geometric process and the extended threshold gives a better allowable cumulative shortage in manpower in the organization. Analytical expressions, namely, mean and variance for the time to recruitment, are obtained, and the results are numerically illustrated, and conclusions are drawn.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Bartholomew D.J.: The statistical approach to manpower planning. Statistician. 20, 3–26, (1971)

    Article  Google Scholar 

  2. Bartholomew D.J.: Stochastic Model for Social Processes. 2nd Edition, John Wiley, New York (1973)

    MATH  Google Scholar 

  3. Bartholomew D.J.: and Forbes A.F.: Statistical Techniques for Manpower Planning. John Wiley, New York (1979)

    Google Scholar 

  4. Dhivya S., Srinivasan A.: Estimation of variance of time to recruitment for a two grade manpower system with two sources of depletion and two types of policy decisions. Proceedings of the International Conference on Mathematics and its Applications. Anna University. 1230–1241, (2014)

    Google Scholar 

  5. Dhivya S., Srinivasan A.: Stochastic model for time to recruitment under two sources of depletion of manpower using univariate policy of recruitment, to be appear in International Journal of Multidisciplinary Research and Advances in Engineering. 5(4) (2013)

    Google Scholar 

  6. Karlin Samuel, Taylor M. Haward.: A First Course in Stochastic Processes. Second Edition, Academic Press, New York (1975)

    Google Scholar 

  7. Saranya P., Srinivasan A.: Stochastic models for a two grade manpower system with wastage as a geometric process. International Journal of Innovative Research in Science, Engineering and Technology. 5(3), 3552–3559, (2016)

    Google Scholar 

  8. Sathiyamoorthi R., Parthasarathy S.: On the expected time to recruitment in a two graded marketing organization. Indian Association for Productivity Quality and Reliability. 27(1), 77–81, (2002)

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. Poornima .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Poornima, S., Clara, B.E. (2018). Analysis on Time to Recruitment in a Three-Grade Marketing Organization Having Classified Sources of Depletion of Two Types with an Extended Threshold and Shortage in Manpower Forms Geometric Process. In: Madhu, V., Manimaran, A., Easwaramoorthy, D., Kalpanapriya, D., Mubashir Unnissa, M. (eds) Advances in Algebra and Analysis. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-01120-8_36

Download citation

Publish with us

Policies and ethics