The document discusses strategies for handling large message backlogs, or "deep queues", that can accumulate in IBM MQ when a getting application experiences an extended outage. It notes that MQ is designed to handle temporary outages but not be used as a long-term database. The maximum queue depths possible on different platforms are estimated, with private queues on z/OS allowing up to around 16.8 million messages and shared queues potentially storing over 600 million messages if configured optimally. Indexing, sizing, and offload strategies are discussed to maximize queue capacity during getting application failures.