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If given a mapping of file sizes to their respective transfer times, how can I approximate the constant factor that each file will have as overhead?

E.g. 

File size          Transfer time
--------------------------------
     1 kB                   2 ms
  1000 kB                1001 ms
--------------------------------

From this table I can see that each file has an overhead of 1 ms and each kB takes another ms. But how do I do this mathematically?

I need to calculate this in C++ as a moving average for an estimation of remaining copy time and would be grateful for some ideas (just math or pseudocode is ok.)

Felix Dombek
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1 Answers1

2

As you said, there are two variables:

  • T is the Time to access one file;
  • A is the Access time per kilobyte (kB).

So, for the two files:

  1. 2ms = T + 1A
  2. 1001ms = T + 1000A

Subtract 1) from 2):

(1001ms - 2ms) = (T - T) + (1000A - A)
999ms = 0 + 999A
999ms = 999A
A = 1ms

Substitute for A in 1):

2ms = T + 1
1ms = T

Simple simultaneous equations!

John Burger
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