Abstract



In this paper, the problem of time to recruitment is analyzed for a single grade manpower system using an univariate Max policy of recruitment in which attrition takes places due to policy decisions. Assuming (i) the policy decisions and exits occur at different epochs (ii) the inter-exit times form an ordinary renewal process and (iii) the breakdown threshold for the maximum loss of manpower has two components, two stochastic models are constructed and the variance of the time to recruitment is obtained when the loss of manpower form a sequence of independent and identically distributed exponential random variables. While in Model I, the inter-decision times are independent and identically distributed exponential random variables, in Model II, they are exchangeable and constantly correlated exponential random variables. The analytical results are numerical illustrated and the effect of the nodal parameters on the performance measure is studied.