Abstract:The use of the Renewal approach for the prediction of flows, entries and grade sizes as well as for control in systems where movement is restricted only to, the next higher level has been studied by many; promotions and recruitments were defined as expected numbers rather random numbers whereas, in reality, promotions and recruitments are often random variables. Few works on Renewal approach for a manpower system with double jump have assumed that promotion and recruitment are expected numbers. In the present work, we define promotions and recruitments as random variables and obtain their expectations and variances in a manpower system with single and double jumps.