Developing a mathematical concept and process technologies to accompany firms from rut to change

Many companies, getting into a rut, think that change is crucial and inevitable to improve competitiveness in the actual globalization era. This paper proposes a model from developing a mathematical concept and process technologies to accompany companies from rut to change. For that, an integrated process has been adopted. By using Function Analysis System Technique (FAST), daily activities have been mapped. And by utilizing Equivalence Relation, each function of FAST diagram has been associated with its equivalent function in a technology. At the end of that process, a technology transform of daily activities has been obtained. Then the same process is implemented in a case of an international cell phone enterprise based in Madagascar. Analyzing the framework of its daily activities, a process of engineering has been identified. It sequences Competitive Intelligence (CI) and Theory of Inventive Problem Solving (TIPS). The paper discusses that (CI) and (TIPS) are innovation technologies whose targets are the improvement and upgrading of competitiveness. The results of this research find that rut can be changed. The conclusion is that the above model integrates characteristics of knowledge management and innovation process.