This research activity focuses on the development of a modular Petri Net based framework for modeling, analysis, and synthesis of complex production systems. The framework is designed to evaluate the performance of these systems, taking into account their random topology and complexity. The goal is to provide a comprehensive understanding of the system's behavior and to identify potential bottlenecks and areas for improvement. The research will involve the development of a software tool that can be used to model and analyze various production systems, and to evaluate their performance under different scenarios. The results of this research will have significant implications for the design and optimization of production systems, and will contribute to the development of more efficient and effective manufacturing processes.