On Two-Graded Manpower Model with Non-Homogeneous Poisson Recruitments

Manpower Planning is the prerequisite for efficient management of any organization. The stability of the graded structure in corporate and government offices plays a dominant role for efficient planning and control of human resources. The constituent components of a manpower planning model are recruitment process, promotion process and leaving process. This paper addresses a two-graded manpower model with non-homogeneous compound Poisson recruitment processes. In the present day competitive environment the recruitment in some organizations is time dependent. The time dependent nature is induced in the model by characterizing the recruitment process with a nonhomogeneous Poissonprocess. Further, in several organizations the recruitment is done in bulk, that is, the people are employed in batches of random size. If in many organizations the recruitment is done in batches. Therefore, the recruitment process is to be characterized withnon-homogeneous compound Poisson process. Assigning that the promotion and leaving processes follow Poisson processes, the transient behavior of the model is analyzed. Using differential equations the performance measures of the model, such as average number of employees in each grade, average duration of stay of an employee in each grade, the variances of the grade sizes and covariance between the two grade sizes are derived explicitly. The sensitivity of the model with respect to the parameters is analyzed through numerical illustrations. It is observed that the time dependent recruitment rate has significant influence on the grade size distribution. This model is useful for formulating the recruitment and promotion policies of the organizations.