What is the optimistic assumption made in the deadlock-detectionalgorithm? How can this assumption be violated

The optimistic assumption made in the deadlock-detection algorithm is that a process will release all its currently held resources after it requests and obtains all the resources it may need. This means that the algorithm assumes that after a process has obtained all the resources it needs, it will not request any more resources and will eventually release all the resources it currently holds.

This assumption can be violated if a process requests more resources after it has obtained all the resources it initially needed. This could happen if the process has a bug or if it is designed to behave in this way. For example, a process might be designed to request more resources as it processes data, or it might have a bug that causes it to request resources indefinitely. In these cases, the process would not release all its currently held resources after it requests and obtains all the resources it may need, which would violate the optimistic assumption made in the deadlock-detection algorithm.