A Maude-Based Formal Approach to Control and Analyze Time-Resource Aware Missioned Systems-of-Systems

Systems-of-Systems (SoSs) are increasingly utilized to integrate multiple Constituent-Systems (CSs) and fulfill missions surpassing the capabilities of individual systems. Successful mission execution relies on effective management of time and resources. Time constraints denote the timeframes within these missions must be completed, and resource constraints involve the allocation of necessary resources for execution. Addressing these dynamic behavior factors in SoSs poses significant challenges and necessitates the adoption of control strategies for efficient coordination and execution of missions. To confront these challenges, this paper introduces a novel hybrid approach, merging an MDA technique (TRC-MM: Time-Resource Aware Control Meta-model) and Maude language to formally specify and control missions. This approach specifically incorporates time-resource aware missions, resource dependencies, and control mechanisms in the dedicated TRC-MM. Further, RT-Maude is utilized as the formal specification language to develop an executable formal model for the controller's behavior in SoSs' missions, offering a powerful analysis method to express and verify behavioral properties pertaining to time and resource constraints.