On two graded manpower planning model

Control of manpower flows is an essential feature of manpower planning. To have a stable and efficient graded structure it is needed to study the constituent processes of manpower system namely, recruitment process, promotion process and leaving process. In this paper we develop and analyse a two graded manpower planning model with open ended system. Using the differential equations the transient behaviour of the model is analysed. The system characteristics of the model like the average number of employees in two grades, the variances of the grade sizes and the covariance between the two grade sizes are derived through cumulant generating function of the joint grade size distirbution. The sensitivity of the model is analysed through numerical illustration. The limiting behaviour of the system is also studied by deriving the joint probability mass function of the number of employees in each grade under equilibrium. It is observed that the recruitment rates and promotion rates have tremendous influence on the grade size distribution.