<p>Under communication-constrained conditions, information relays can effectively mitigate the battlefield situational information loss. However, the increasing complexity of equipment connectivity poses challenges for the efficiency of evaluating the weapon system-of-systems effectiveness. To leverage the high-performance matrix computation capabilities of supercomputers for streamlining the assessment process of kill web closure based on kill-chains, this paper investigates a hypernetwork capability matrix representation of weapon system-of-systems to improve the efficiency of kill-chain count information acquisition. First, based on the operational cycle theory, a dual-relay directed hypernetwork model is proposed. Capability matrices are constructed for probability, time, link count within the hypernetwork layer to quantify a weapon system-of-systems. To address the problem of relay redundancy, a rapid link generation algorithm satisfying relay constraints is proposed to construct the relay network capability matrix. Next, by connecting different types of capability matrices according to the mapping of each piece of equipment in various capability matrices and following the direction of operational information transmission, a method for generating kill-chains based on matrix element mapping relationships is proposed. This approach enables rapid acquisition of quantitative information on kill-chains under a supercomputing processing architecture and completes the closure assessment of the weapon system-of-systems based on probability and time capability matrices. Finally, case studies are used to validate the proposed algorithm’s reliability and effectiveness.</p>