Hi Anjali,
BW reports will not responds for Process chain Failures, you have to monitor on your own.
One thing u can do, You can keep alerts for the Process chain with a mail recipient like xyz@abc.com. so that you can came to know that current day (Delta) data is not available at reporting.
and also you can check at the Infoprovider level whether the current (Delta) request is successfull or not .
Naresh