Expected Time to Recruitment in A Two - Grade Manpower System Using Order Statistics for Inter-Decision Times and Attrition

摘要

In this paper, a two-grade organization subjected to random exit of personal due to policy decisions taken by the organization is considered. There is an associated loss of manpower if a person quits. As the exit of personnel is unpredictable, a new recruitment policy involving two thresholds for each grade-one is optional and the other 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 are obtained for all the models when (i) the loss of man-hours and the inter decision time forms an order statistics (ii) the optional and 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.