Mathematical modeling of interactions for evaluation of complex ergonomic systems

The main goal of system/product designers is to design for maximum usability and operability. To maximize usability, a viable product/system is best designed to maximize its compatibility with the human operator while keeping its complexity at a minimum. From the ergonomic standpoint, such notions can only be evaluated in a subjective sense using common statistical techniques since a comprehensive mathematical modeling framework for the science has yet to be developed. This thesis addresses the notions of complexity and compatibility in the context of a mathematical modeling framework as it attempts to provide a methodology for modeling ergonomic systems.; From the methodological viewpoint, the science of ergonomics is still at the beginning states of building robust mathematical models for the evaluation of complex human-machine systems. The focus of this thesis is on the development of a mathematical modeling framework for the science of ergonomics. This includes a methodology for description of the structure of interactions within the system as well as the development of mathematical measures for the notions compatibility and complexity. Such a methodology can be utilized during the process of system evaluation to optimize usability and operability.