Matheus HolzbachNorberto Abrante MartinezLucas Teles FariaAlejandra TabaresJosé F. ResendeJohn F. Franco2026-03-222026-03-22202410.2139/ssrn.4784591https://doi.org/10.2139/ssrn.4784591https://andeanlibrary.org/handle/123456789/84290enBackupStochastic programmingComputer scienceReliability engineeringOptimal Hybrid Backup Systems for Substation Auxiliary Services During Outages Using Stochastic Programmingpreprint