“…As at the time of writing this paper, the only promotion control model in discrete-time known to the author that is similar to this study design is that of Bartholomew et al [4]. Mathematical models for manpower planning abound in the literature [2,3,4,11,12,14,24,30,33]. Among these models is the Markov chain model, which is commonly used for systems with countable state space [10,13,17,18,27,28,31,32].…”