Variance of Time to Recruitment in a Two Graded Manpower System using Order Statistics for Attrition

Abstract

An organization with two grades subjected to loss of man power due to the policy decisions taken by the organization is considered in this paper As the exit of personal is unpredictable, a new recruitment policy involving two thresholds for each grade one is optional and the other is mandatory is suggested to enable the organization to plan its decision on recruitment. Based on shock model approach three mathematical models are constructed using an appropriate univariate policy of recruitment. Performance measures namely mean and variance of the time to recruitment is obtained for the models when (i) the loss of man-hours form an order statistics (ii) the inter-decision time forms a sequence of independent and identically distributed exponential random variables (iii) the optional and the mandatory thresholds follow different distributions. The analytical results are substantiated by numerical illustrations and the influence of nodal parameters on the performance measures is also analyzed.