History proves the permanent and incessant change of the competitive environment of the company, putting it in a stifling field of competitiveness, which forces the companies around the world to commit to the permanent optimization of their economic performance based on the continuous improvement of their production resources, in particular their material manufacturing systems, and this is linked to the need for continuous renewal and development of approaches to improve their dependability, aiming to manage the manufacturing systems with a multidimensional, flexible and crossroads approach of control and optimization, making the optimal dependability and the minimum cost of maintenance of the integrity of a material manufacturing system two faces of a same species. In this perimeter, our research work aims to improve the reliability and maintainability attributes of a system in all its life phases and within a field of maintenance cost constraints of its sub-systems, by establishing a system approach applied to reliability and maintainability, making the bridge from the science of failures and breakdowns to the discipline of mathematical programming that is part of the science of operations research. It is in view of our dynamic vision allowing us to perceive the holistic character of production system.