By 2082, five years after the War, they've managed to get clean and form a functioning society within the Vault, continuing to adhere to the Vault-Tec Rehabilitation Program (The Program, as they called it) even after it succeeded. Sealed away inside the Vault after the Great War, the inhabitants eventually overcame their addictions.
As Overseer and she should not prevent a resident from continuing their own personal journey. Vault-Tec's Overseer manifest describes their position as 'not to be considered a position of power, but rather a position of support and servitude.' Infractions were dealt with using positive reinforcement and encouragement together they shared the same path and were as a family. There were also daily meetings to help the addicts through their recovery.
Isolation is cited as the primary means of recovery: by not providing any drugs to vault dwellers they aimed to eliminate chances of relapse. Designed for 72 dwellers, Vault 95 was specifically designed to house individuals who were addicted to drugs, offering them the chance to be rehabilitated and sheltered from nuclear fallout.