🤖 AI Summary
This work addresses the critical challenge of efficiently identifying minimum cut sets (MCS) between source–destination pairs in large-scale complex networks. To this end, we propose Fast-MCS, a scalable open-source tool grounded in graph theory and combinatorial optimization. By optimizing algorithms for cut-set enumeration and verification, and integrating efficient data structures with parallelized memory management, Fast-MCS achieves substantial improvements in computational efficiency. Experimental evaluations on multiple large network instances demonstrate that Fast-MCS significantly reduces MCS computation time compared to state-of-the-art methods, offering a practical and highly efficient solution for reliability analysis in complex networks.
📝 Abstract
A network is represented as a graph consisting of nodes and edges. A cut set for a source-destination pair in a network is a set of elements that, when failed, cause the source-destination pair to lose connectivity. A Minimal Cut Set (MCS) is a cut set that cannot be further reduced while maintaining its status as a cut set. MCSs are crucial in identifying the critical elements in the network that have the most significant impact on failure. This work introduces Fast-MCS, an open-source, scalable tool for evaluating MCSs in large, complex networks. Additionally, we compare the computation time of Fast-MCS with the state-of-the-art.