Mathematical Background of Key Performance Indicators for Organizational Structures in Construction and Real Estate Management

Construction projects as well as comprehensive projects of Real Estate Development are evolving more and more as a matter of complex interacting networks driven by means of coordination and motivation. Profound analysis of networks is done since several years with remarkable success in particular by sociologists. By modelling social networks through methods provided by Linear Algebra and matrix calculation, some interesting general parameters can be formulated, which characterize the networks solely based on its structure. Social networks are developing on the background of personalities and their interaction specified by sociology in general and in particular by a subset of interaction means given by e.g. software restrictions on respective platforms. Such procedures turn out to be directly applicable to networks formed by participants in construction projects like trades, subcontractors, workers, departments, hierarchical groups and other involved parties. The generalized personalities are also defined by their tasks and their according interests and motivation, where the interaction is given by legal dependencies and contracts. Not much diverse from this situation are the markets in real estate development, where players and rules are given accordingly. In this research we propose to define network parameters for project interaction structures in construction as well as in development situations based on Linear Algebra and analyze these for the a priori elaboration of well supported interaction schemes. Furthermore already existing parameters are to be identified and mapped on this parallel world in order to improve the understanding and thus the definition of an organization plan as an inevitably required precondition for well prepared projects.