Final answer:
When a train is stopped at a signal on an upgrade, the train operator must apply the parking brake and, if available, use wheel chocks to secure the train.
Step-by-step explanation:
If a train operator stops his local train at a home signal indicating stop, and the train is on an upgrade, there are several procedures that must be followed to ensure the train does not roll back down the gradient. First, the train operator should apply the parking brake to hold the train in place. After that, it's important to place wheel chocks or equivalent safety devices on the tracks behind the train's wheels if they are available, due to the potential for a train's braking system to lose pressure over time, which could cause it to roll back. Furthermore, the train crew may need to notify the signal operator or dispatcher of the train's status and wait for further instructions. Always adhering to these safety precautions can help prevent accidents and ensure the safety of everyone on and around the train.