Personnel Movement On a Fixed Size Multi-Step G-Grade Manpower System

Abstract

This paper considers aspect of a network of personnel flow in a fixed size hierarchically structured Markov manpower system under intra/inter-grade mobility-specific feature. The study shows that as long as the Markov chain describing the system is stochastic and irreducible, the system remains finite and bounded. In the case study, the structure of the University system under a fixed size manpower policy would result to a bottom-heavy structure. This work has revisited the use of Markov chain as a tool to describing the evolution of a hierarchical manpower. The notion of intra/inter-grade mobility in a fixed size manpower system has been investigated. In such a system, the manpower structure was finite and bounded as the transition matrix of the system was stochastic and irreducible. An illustrative example was sourced using practical data from a private university in Nigeria to illustrate the new method. The real life example demonstrates that the technique of attributing the same promotion probability to each member of the same grade can be advanced further to the grade step. Also, the structure of the system was extrapolated in order to ascertain whether the fixed size policy would result to a bottom-heavy or top-heavy structure.