VARIANCE OF TIME TO RECRUITMENT FOR A TWO GRADED MANPOWER SYSTEM WITH DIFFERENT DISTRIBUTION THRESHOLDS HAVING NON – IDENTICALLY DISTRIBUTED WASTAGES AND CORRELATED INTER-DECISION TIMES

Abstract

In this paper, the problem of time to recruitment in an organization with two grades when it is subjected to loss of manpower due to the policy decisions taken by the organization is studied. As the exit of personnel is unpredictable, a recruitment policy involving two thresholds optional and mandatory for each grade, is suggested to enable the organization to plan its decision on recruitment. Based on shock model approach two mathematical models are constructed using the univariate policy of recruitment. Performance measures namely mean and variance of the time to recruitment are obtained for model I when (i) loss of man power forms a sequence of independent and non-identically distributed exponential random variables (ii) inter-decision times are exchangeable and constantly correlated exponential random variables iii) optional and mandatory thresholds are extended exponential distribution. In model II, optional and mandatory thresholds follows SCBZ property.