This research introduces a novel outage management strategy (OMS) designed to enhance the resilience of distribution systems (DiSs) during severe weather-induced power outages. The approach incorporates an innovative network restructuring technique that utilizes an updated matrix to efficiently identify and reconfigure the radial network's topology following line faults. This restructuring optimizes the use of distributed energy resources (DERs) by strategically replacing connection and cross-section lines, formulated as an optimization problem solved through the social spider optimization algorithm. The key contributions include a unique matrix rank-based topology modeling method that avoids traditional empirical topological searches, proving effective in N-1, N-2, and N-3 scenarios. Comprehensive planning of DERs, encompassing both dispatchable and non-dispatchable resources, ensures optimal power supply during crises, even in systems with low to moderate DER penetration.