Github user tillrohrmann commented on the pull request:

    https://github.com/apache/flink/pull/750#issuecomment-135069357
  
    Good work @mjsax, I added some comments.
    
    Even though this might be a corner case, but I was wondering what happens 
when you've issued the stopping call and at the same time the JM restarts the 
job because of some failure. If this happens, I think that the 
`ExecutionJobVertices`, which already have received the stopping signal, will 
be kept marked stopping because the internal field `receivedStopSignal` will 
never be reset. This will also be shown in the web UI.


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