Published August 13, 2017
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MEAN TIME TO RECRUITMENT FOR A MULTIGRADE MANPOWER SYSTEM WITH SINGLE THRESHOLD, SINGLE SOURCE OF DEPLETION WHEN WASTAGES FORM AN ORDER STATISTICS
Creators
- 1. Assistant Professor, Department of Mathematics, National College, Trichy, Tamilnadu
- 2. Assistant Professor, PG and Research Department of Mathematics, Government Arts College, Trichy, Tamilnadu
Description
In this paper a multi graded organization in which depletion of man powers occur due to its policy decisions taken by the organization is considered. Four cases are constructed by taking exponential thresholds for the loss of man powers in each grade, where the loss of man powers (wastages) form an order statistics and inter decision times form i) an ordinary renewal process ii) an order statistics iii) a geometric process iv) correlated. Mean time to recruitment is obtained using an univariate CUM policy of recruitment (i.e) “The organization survives iff atleast out of n-grades survives in the sense that threshold crossing has not take place in these grades”. The influence of the nodal parameters on the system characteristics is studied and relevant conclusions are presented.
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References
- 1. Barthlomew. D. J, and Forbes. A. F, Statistical techniques for manpower planning, John Wiley & Sons,(1979). 2. Grinold.R.C, and Marshall. K. J, Man Power Planning, North Holland, Newyork (1977). 3. Sridharan.J, Parameswari. K and Srinivasan. A, A stochastic model on time to recruitment in a two grade manpower system based on order statistics, International Journal of Mathematical Sciences and Engineering Applications 6(5)(2012):23-30. 4. Sridharan. J, Parameswari. K and Srinivasan. A, A stochastic model on time to recruitment in a two grade manpower system involving extended exponential threshold based on order statistics, Bessel Journal ofMathematics3(1) (2013):39-49. 5. Sridharan. J, Parameswari. K and Srinivasan. A, A stochastic model on time to recruitment in a two grade manpower system involving extended exponential and exponential threshold based on order statistics, Archimedes Journal of Mathematics3(1) (2013):41-50 6. Sridharan. J, Parameswari. K and Srinivasan. A, A stochastic model on time to recruitment in a two grade manpower system basedon order statistics when the threshold distribution having SCBZ property, Cayley Journal of Mathematics 1(2) (2012 ): 101-112 7. Parameswari. K, Sridharan. J and Srinivasan. A, Time to recruitment in a two grade manpower system based on order statistics, Antarctica Journal of Mathematics 10(2) (2013):169-181. 8. Parameswari. K and Srinivasan. A, 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) – Volume 33 Number 3- May 2016 9. S. Dhivya, V. Vasudevan and A. Srinivasn, Stochastic models for the time to recruitment in a two grade manpower system using same geometric process for the inter decision times, proceedings of mathematical and computational models, PSG college of technology(ICMCM),Narosa publishing House,pp.276-283,Dec -2011 10. Vidhya. S, A study on some stochastic models for amulti graded manpower system, Ph.D thesis, Bharathidasan University (2011). 11. K. Srividhya, S. Sendhamizhi Selvi, Mean Time to Recruitment for a Multi Grade Manpower system with single threshold, single source of depletion when interpolicy decisions form an order statistics, IOSR Journal of Mathematics vol 13,issue 3 pp33-38 12. K. Srividhya, S. Sendhamizhselvi "Mean Time to Recruitment for a Multi Grade Man Power System with Single Threshold, Single Source of Depletion when Inter Policy Decisions form a Geometric Process", International Journal of Mathematics Trends and Technology (IJMTT). V45 (1):11-15 May 2017. ISSN: 2231-5373.