Global Journal of Mathematical Sciences

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A semi-Markov model for the duration of stay in a non-homogenous academic manpower system

AU Udom


The semi-Markov approach to a non-homogenous manpower system is considered. The mean duration of stay in a grade and the total duration of stay in the system are obtained. A renewal type equation is developed and used in deriving the limiting distribution of the semi – Markov process. Empirical estimators of the semi-Markov parameters which are uniformly consistent and asymptotically normally distributed are used to obtain the average length of stay for the academic manpower of the University of Nigeria.

AJOL African Journals Online