Cloud usage has increased rapidly, except when it comes to the notable integration of IOT with Industry 4.0.This study seeks to challenge the limits of Cloud uses. As a result, the integration of Cloudlet (middleware) in some critical applications is growing rapidly with the expansion of Cloud applications. The Cloudlet is being deployed as a necessary component in the industrial network to ensure data synchronization, security, and stability. Based on our recent studies, this work will focus on how to maintain stability in a Cloudlets network. In other words, the goal is to ensure that all nodes remain stable, meaning that all the Cloudlets are connected to the Cloud and able to transmit data independently, regardless of the constraints imposed by the industrial environment. The first part of this work is to define the problem, discuss how Cloudlet can resolve some Cloud limits. Then, we define the stability and its models. In effect, the experiments in a real industrial environment are presented. Finally, the results are analysed.