Run-time for SP algorithms on different computers

I'm running some of the shortest path algorithms on my personal laptop
(1.6 GHZ core duo) and I get an average run time of 100 ms for the
data set that I have.

I am wondering if the same program is ran on a much bigger/faster
computer then the run time will be any faster. If so, how much
faster?

I'm trying to asses how much impact will the processor speed have on
the run-time.

Thanks in advance for your input.

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