Modelling and optimization of strictly hierarchical manpower system

This paper addresses the problem of the hierarchical manpower system control in the restructuring process. The restructuring case study is described where eight topmost ranks are considered. The desired and actual structure of the system is given by the actual numbers of men in a particular rank. The system was modelled in the dicrete state space with state elements and flows representing the recruitment, wastages and retirements. The key issues were identified in the process as the stating of the criteria function, which are time variant boundaries on the parameter values, the chain stucture of the system and the tendency for the system to oscilate at given initial conditions. The oscillatory case is presented and the dynamic programming approach was considered in the optimization as unsuitable, examining the oscillations. The boundary space and optimal solution space were considered by indicating the small area where the solution could be optimal. The augmented finite automaton was defined which was used in the optimization with the adaptive genetic algorithm. The developed optimization method enabled us to successfully determine proper restructuring strategy for the defined manpower system.