Travel systems manage inventory across different booking channels through:

. Centralized Systems: Uses centralized systems to track and update inventory across all booking channels.

. Real-Time Synchronization: Ensures that inventory levels are updated in real-time across all channels to avoid overbooking and discrepancies.

. Channel Management Tools: Implements tools that manage and distribute inventory to various online and offline channels.

. Automated Updates: Automates inventory updates to reflect changes instantly.

. Integration with Partners: Integrates with third-party platforms and partners for seamless inventory management.

Overall, centralized systems, real-time synchronization, channel management tools, automated updates, and integration with partners are key methods for managing inventory across different booking channels in travel systems.