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IMA Journal of Management Mathematics 2008 19(3):245-268; doi:10.1093/imaman/dpn005
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© The authors 2008. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Length of service and age characteristics in proportionality Markov manpower systems

K. Nilakantan{dagger}

Institute of Management Technology, Operations and Quantitative Methods Group, Nagpur 440013, Maharashtra, India

B. G. Raghavendra

Department of Management Studies, Indian Institute of Science, Bangalore 560012, Karnataka, India

{dagger} Email: kanilakanthan{at}yahoo.co.in, nilakanthan{at}gmail.com

Received on 30 June 2005. Accepted on 21 February 2008.

In this paper are analysed the length of service and age characteristics of members in a hierarchical organization under the influence of ‘proportionality’ policies. Proportionality policies are those that restrict the recruitment to every level of the hierarchy to be in strict proportion to the promotions into that level. The characteristics of the length of service in grade as well as those of the length of service in organization under these conditions have been derived. The characteristics of the chronological age of the members in the organization have also been derived. The analyses will be of relevance to organizations which outsource a part of their work, the outsourced workforce being notionally viewed as recruits to the system.

Keywords: Markov chain; planning and control; manpower model; manpower management


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