A new univariate max policy of recruitment in a two graded manpower system with different epochs for decisions and exits

In this paper, the problem of time to recruitment is studied for a two graded manpower system by employing a new univariate MAX policy of recruitment in which exits take place due to policy decisions. Assuming that the policy decisions and exits occur at different epochs, three mathematical models are constructed based on shock model approach and the variance of time to recruitment is obtained when the inter-exit times form an ordinary renewal process according as inter-policy decision times form a sequence of exchangeable and constantly correlated exponential random variables or a geometric process or an order statistics. The analytical results in closed form are derived for all three models by assuming specific distribution to loss of manpower.