The statistics which appear for each process ID will be erased when the process is killed (or your
VPS is rebooted), however, the only statistic which
should be steadily growing would be the CPU time as reported by
ps faux and
top - the other statistics should fluctuate over time.
If you see a process which is steadily consuming an increasing percentage of your CPU or RAM you may want to investigate - there could be an
infinite loop or a
memory leak eating your resources.
When viewing
top (particularly if you're noticing degraded performance) you will also want to keep an eye out for
zombie processes - the process will show a "Z" in the
S column which means it's time to send the process ID a
kill -9 to free up resources.