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Open pit mines experience several challenges and constraints in the management of mining operations and processes. The heterogeneity of the infrastructures and the complexity of the physical and managerial systems highlight these various challenges. The creation of a generic system that can drive but at the same time models in a dynamic logic all these constraints and elements assume a major complexity. In addition, the modelling allows the implementation of real-time decision-making components and increases the responsiveness of the system. This paper presents six modelling methodologies of the production system, namely Open System Architecture for Computer Integrated Manufacturing, GRAI Integrated Methodology, Purdue Enterprise Reference Architecture, Generalized Enterprise Reference Architecture and Methodology, Zachman and Model Based System Engineering. Based on the multi-criteria analysis, we have shown that the Modelling Based System Engineering is the most adapted methodology in the case of open pit mines but this method knows a lack of agility in the system. Our system will use a methodology based on Model Based System Engineering and will consider the agility of the system.