Effect of Social Graph Structure on the Utilization Rate in a Flat Organization

How the Minimal Degree of a Social Graph Affects the Efficiency of an Organization

“…In this paper, an analysis of the utilization rate for an organization with a guaranteed minimum degree of a bipartite social graph has been provided. We generalized our previous results [ 8 ] for the greatest lower bound of the utilization rate. Simulation analysis gave us some ideas and possible directions for future research.…”

“…We consider here a simplified version of a more general simulation model developed for analysis of team performance in a research centre [ 7 , 8 ]. Input parameters of the model are the following: is a finite set of group members (employees, professionals) of two categories: type A (researchers) and type B (engineers), where and ; is an undirected social graph of an organization, so indicates that employees have established relations enough to invite each other to a new project.…”

“…Since any project needs exactly one researcher and one engineer, if then at least employees will always be idle. So, This upper bound is the lowest, see [ 8 ] for the detailed proof.…”

“…Analysis and improvement of employee utilization are widely covered in business administration literature, but papers, which use mathematical modelling for that are quite rare. In our previous paper [ 8 ] a literature overview of team modelling approaches and the utilization rate analysis was presented. An important insight of the literature study is that a meaningful modelling approach should take into account the skill profiles of the employees, their roles and communications.…”