Final answer:
The decision supported by TMS processes that handles orders and exception alerts is mode and carrier selection, as it is key in optimizing transportation and responding to any transportation issues.
Step-by-step explanation:
The decision supported by the Transportation Management System (TMS) processes that orders and manages exception alerts is mode and carrier selection. TMS solutions are primarily designed to optimize the shipping process, which includes selecting the most efficient transportation modes and carriers for order fulfillment. These systems also monitor shipments and manage alerts if there are any delays or issues, enabling quick reactions to exceptions in the transportation process.