[Process] Handle idle timeout and disable output conflict
[Process] Increase tests speed
bug #10456 [Process] Handle idle timeout and disabled output conflict (romainneutron)

This PR was merged into the 2.5-dev branch.

Discussion
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[Process] Handle idle timeout and disabled output conflict

| Q             | A
| ------------- | ---
| Bug fix?      | yes
| New feature?  | no
| BC breaks?    | no
| Deprecations? | no
| Tests pass?   | yes
| Fixed tickets | #10453
| License       | MIT
| Doc PR        | WIP (a note should be added in the doc)

Commits
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ae84810 [Process] Increase tests speed
40c08c6 [Process] Handle idle timeout and disable output conflict