Cooperation and Leadership in Military Organisations Modelled with Methods of Social Network Analysis

Modern military organisations have become more cooperation-oriented rather than abide by traditional, leadership-oriented, hierarchical structures. `Teams of teams' have proven effective as organisational structures in actual battlefield situations. Additionally, future battles rely more and more on utilising civilian technology and expert personnel. We present mathematical methods for modelling modern military organisations that are based on teams and networking between team members when performing military tasks or operations. Social network analysis is a novel approach to study relationships between leadership and sub-ordinate roles. We present interactions between units in an organisation with bidirectional relationships, which enables us to illustrate both outward and inward influence of the units. The method is demonstrated with different model parameter values that describe both modern and traditional military organisations.