Study of dynamic graph ajustment operation in the optimization projects of hierarchical organizational structures

Abstract

The research results of value adjustment influence on changes in the hierarchical graph structure are disclosed. The aim of the research is to establish regularities of the adjustment functions influence to the change in the hierarchical graph structure which characterizes changes in the span of control of the organizational structure. The structure of the hierarchical graph and organizational structures of span of control are experimentally studied. The original graph-fan is characterized by the maximal span of control. Using additive dynamic graph operation of the local subordination graph-fan is converted to different variations of the hierarchical graphs structures. The effect of the reduction of span of control of hierarchical organizational structure and the transition of the initial graph-fans to hierarchies of the higher level is considered. This is a result of specifying of arbitrary forms of the adjustment functions by assigning of ones and zeroes combinations to its values. The research results can be applied to the simulation modeling of organizational structures. The obtained regularities enable controlling the adjusting processes and values of spans of control of hierarchical organizational structures.