Prospective control in an enhanced manpower planning model

The present paper deals with the exercise of recruitment control to a time dependent, hierarchical system which incorporates training classes as well as two streams of recruitment; one coming from the outside environment and another from an auxiliary external system. The motivation for this model lies in the need to take into account not only the tendency of the employees to attend seminar courses so as to improve their career prospects, but also the organizations’ intention to avoid situations associated with the unavailability of skilled individuals for hiring. For the suggested model, we define its attainable structures and the sets containing these structures, i.e. attainable sets. We examine the geometrical properties of these sets and it is proved that they form convex polytopes. Moreover, by adopting the equivalent approach of describing convex polyhedral sets via inequalities, we specify the attainable sets of the model for every time point t. An illustrative example follows.