An analysis of the sets of rank distribution in an hierarchical organization

Abstract

A Markov type model for studying rank distribution in an hierarchical organization is examined. Various sets of rank distributions are defined and their properties discussed, A computer aided test is developed for testing a given rank distribution to determine if it is an element of a particular set. For a distribution not in the Steady State set, a test is developed to determine if the distribution can be returned to in m transitions or steps.