Time to Recruitment for a Single Grade Manpower System with Two Thresholds, Different Epochs for Inter-Decisions as an Order Statistics and Exits

ABSTRACT: In this paper, the problem of time to recruitment is studied using a univariate policy of recruitment involving two thresholds for a single grade manpower system with attrition generated by its policy decisions. Assuming that the policy decisions and exits occur at different epochs, a stochastic model is constructed and the variance of the time to recruitment is obtained when the inter-policy decision times and inter- exit times form an order statistics and an ordinary renewal process respectively. The analytical results are numerically illustrated with relevant findings by assuming specific distributions. Keywords: Single grade manpower system; decision and exit epochs; order statistics; ordinary renewal process; univariate policy of recruitment with two thresholds and variance of the time to recruitment.