The main factors which predominantly determine the behavior of a manpower system are recruitment, promotion and wastage. Accumulated additively and the system fails if the total damage exceeds a certain threshold. In many cases the extent of the damage from a given shock varies in time. The expected time to reach the recruitment status of the organization and its variance is found through alpha-Poisson distribution. The analytical results are numerically illustrated by assuming the alpha-Poisson distributions for the practical use of the model.

Keyword: Alpha-Poisson; Grades; Threshold; Recruitment.