The Use of Time as an Optimality Performance Criterion in Manpower Control

In a graded manpower system, an apparently sensible transition rate may, in due course, show a tendency for certain grades to grow at the expenses of others. Achieving operational objectives in manpower planning is of paramount importance. A typical objective may be to reach a desired structure by a certain time in a changing environment or with the smallest possible cost. Therefore a certain degree of control is sensible at various points in time and for various reasons. In this paper, the concept of time as an optimality performance criterion is used to obtain an optimal recruitment control vector for a manpower system modeled by a stochastic differential equation via the necessary condition of Pontryagin theorem. It is also shown that the optimal recruitment control vector minimizes the control time globally. Condition under which the system is controllable is examined. (