To study the movement of individuals over occupational categories it is natural to start by looking at the movement of people between different categories and also at the process of recruitment of new entrants. Since such moves are largely unpredictable at the individual level it is necessary to find a model to describe the mechanism of movement in probabilistic terms. In the present paper we have used a markov model to describe career pattern of individuals in a half open and half closed University system. A measure of career pattern based on above model has been developed and the simulated distribution of this measure has also been studied. A numerical study has been done for the data on the promotion pattern of non-teaching staff members of the University of Calcutta, India on the basis of 373 members out of 2024 members.