Systems analysis has been extensively used to solve various complex operational, management and strategic defense issues. It has been also applied toward decision analysis which requires a quantitative basis for the evaluation of decision options. On the other hand, diffusion is a natural process which can be characterized by a mixture of particles in a particular environment or medium. Initially, these particles spread out randomly, however, when some time passes, all particles are distributed uniformly yet randomly. The diffusion will continue and the particles and the particles will continue redistributing. The concept of “particles” can be used toward other phenomena ranging from red blood cell redistribution following trauma and hemorrhage to dissemination of information following news announcement.

In our view, diffusion should be considered as a fundamental natural process which should help to understand many important issues including those that are related to complex analysis related to advance technologies, management science and operation research. In order to apply the process of diffusion to operations research and management science, we propose to use systems analysis along with diffusion equations (a second order partial differential equations which are traditionally used to describe the process of diffusion). Our innovative idea is to combine systems analysis and diffusion equations in one application (predictive model). This is a fundamentally different approach to describe such processes and to conduct science in general. This highly innovative approach has obvious significance for any technologies and methods that require complex analysis such as management, administration, policy making and operation science etc.