This paper presents a summary of a review of optimization models for integrated production and replenishment planning decisions. To deal with this research, current approaches addressing replenishment and production planning are reviewed, and compared with the enterprises requirements, willing to collaboratively perform both processes. This research is embedded in the H2020 C2NET research project. The enterprises requirements are extracted from the industrial Pilots participating the C2NET project. This paper will provide researchers and practitioners a starting point for optimization models in the replenishment and production area in the collaborative context.