I have seen this issue only on XP. This seems to be some problem while applying patch from 6u10 to 6u11 "jusched.exe" is not getting updated properly and following regitry entries are getting created.
HKEY_LOCAL_MACHINE\SYSTEM\ControlSet001\Control\Session Manager
PendingFileRenameOperations
\??\C:\PROGRA~1\Java\jre6\bin\jusched.exe

\??\C:\PROGRA~1\Java\jre6\bin\jusched.exe

\??\C:\PROGRA~1\Java\jre6\bin\RTA69430
\??\C:\PROGRA~1\Java\jre6\bin\jusched.exe

How to reproduce

1) install jre 6u10 pit b26 bundle

2) Launch the jusched.exe

3) Run the online 6u11 bundle only

4) Go through upgrade process

5) Run the online or offline 6u12 bundle

6) After clciking on accept button it is showing the error(Please see the attched screen shot)

Expected Behaviour:
It should install the 6u12 successfully.