Estimation of Mean Time to Recruitment for a Two Graded Manpower System Involving Independent and Non-Identically Distributed Random Variables with Thresholds having SCBZ Property

S. Jenita, S. Sendhamizh Selvi

Abstract: In this paper, an organization subjected to a random exit of personnel due to policy decisions taken by the organization is considered, there is an associated loss of manpower if a person quits the organization. As the exit of personnel is unpredictable, a recruitment policy involving two thresholds, optional and mandatory is suggested to enable the organization to plan its decision on recruitment. Based on shock model approach, a mathematical model is constructed using an appropriate univariate policy of recruitment. The analytical expression for the mean time to recruitment is obtained when i) the loss of manpower forms a sequence of independent and non-identically distributed continuous random variables ii) inter-decision times are independent and non-identically distributed continuous random variables and iii) the optional and mandatory thresholds having SCBZ property.

Keywords: Manpower planning, Shock models, Univariate recruitment policy, SCBZ property, Hypo-Exponential distribution