In Swift, you can manage the execution order of operations by using addDependency with Operation and OperationQueue. This method allows you to specify that a certain operation (let's call it Operation B) should not start until another operation (Operation A) is complete. It's like telling Operation B to patiently wait its turn until Operation A finishes its task. This approach is especially useful for coordinating tasks that have a specific sequence or dependency, ensuring smooth and orderly execution in your Swift applications.