A stochastic model for a single grade system with backup resource of manpower

T. Roja Mary; K.P. Uma

doi:10.26637/mjm203/009

Abstract

In this paper, an organization with single grade subjected to exodus of personnel due to policy decisions taken by it, is considered. In order to avoid the crisis of the organization reaching a breakdown point, a suitable univariate policy recruitment based on shock model approach and cumulative damage process is suggested. A mathematical model is constructed and a performance measure namely the mean time to recruitment is obtained. The analytical results are numerically illustrated and the influences of nodal parameters on the performance measures are studied and relevant conclusions are presented.

Keywords:

Single grade system, Univariate policy of recruitment, shock model

Mathematics Subject Classification:

90B70, 91B40, 91D35

Authors Imprint References Funding Related Articles Downloads

T. Roja Mary Department of Mathematics, Sree Sakthi Engineering College, Coimbatore, Tamil Nadu, India.
K.P. Uma Department of Mathematics, Hindusthan College of Engineering and Technology, Coimbatore, Tamil Nadu, India. https://orcid.org/0000-0002-9651-4588

Pages: 243-248
Date Published: 01-07-2014
Vol. 2 No. 03 (2014): Malaya Journal of Matematik (MJM)

D.J. Bartholomew, Stochastic Model for Social Process, 2nd Edition, John Wiley and Sons, New York, 1973.

D.J. Bartholomew and A.F.Forbes, Statistical Techniques for Manpower Planning, John Wiley, Chichester, 1979.

R. Sathyamoorthi and R. Elangovan, A shock model approach to determine the expected time to recruitment , Journal of Decision and Mathematical Sciences, 2(1-3)(1998), 67-68.

R. Sathyamoorthi and S. Parthasarathy, On the expected time to recruitment in a two grade marketing organization, IAPQR Transactions, 27(1)( 2002), 77-80.

A. Srinivasan and V. Saavithri, Cost analysis on univariate policies of recruitment, International Journal of Management and Systems, 18(3)(2002), 249-264.

A. Srinivasan and K. Kasturri, Expected ttime for recruitment with correlated inter-decision times of exits when threshold distribution has SCBZ property, Acta Ciencia Indica, XXXI M.(1)(2005), 277-283.

A. Srinivasan, K.P. Uma, K. Udayachandrika and V. Saavithri, Expected time to recruitment for an univariate policy when threshold distribution has SCBZ Property, Proceedings of the third national Conference On Mathematical and Computational Models, Narosa Publishing Book House, New Delhi, 2005, 242-246.

N. Vijayasankar, R. Elangovan and R. Sathiyamoorthi, Determination of expected time to recruitment when backup resource of manpower exists, Ultra Scientist, 25(1)B(2013), 61-68.