With the evolution and the increasing complexity that knows the health care production systems, it becomes increasingly difficult for managers to manage the various processes of such system. It is therefore essential to propose to them effective management methods to provide good quality care for patients while guaranteeing service-cost balance. In this context, we note that several studies in the literature propose management methods dedicated to a process of the hospital system facing a dysfunction. In this paper, we propose to analyze these methods in terms of management, and classify them according to several axes. This classification is considered as a methodological guide for managers that will allows them to identify the best processes management method of the health care production system.