Question on thread priorities in Linux

[Manu Prasad]

Hi,

I have a question regarding thread priorities in Linux.

The scenario is like this:
I have a thread 'A' in the Kernel which services external requests and 
has to respond within a specified time(generally in milli secs).

I have some compute intensive calculation being done in the UserLevel 
for which data is made available from the kernel. So I have a user 
thread 'B' which blocks in the kernel, by making an IOCTL call, to 
collect the data and service the compute intensive calculation when a 
request comes. This calculation can take anywhere from 3-6 secs. After 
calculation is completed in the UserLevel it passes the result of the 
calculation by another IOCTL to the Kernel.

My problem is:

The kernel thread 'A' generally services requests within the stipulated 
time(some milli secs). But sometimes when the request arrives during the 
compute intensive calculation in the <<User Level the service is not 
rendered in the stipulated time>> and sometimes take as long as the 
actual completion of the compute intensive calculation(3-6 secs).
Isn't it that the Kernel thread preempts the UserLevel thread?

I am using linux 2.4.17.
Thanks for your help,
-Manu
PS: Could you please CC me the answer to this question.