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

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.