# Execution time vs. Computation time in MILP

Hi,

I am using GLPK in Sage 6.9 to solve MILP problem. I am also using the `Solver_parameter('timelimit')`

to terminate the problem after the specficied time. According to SageMath documentation, `"timelimit" defines the maximum time spent on a computation. Measured in seconds.`

However, I am a bit confused with this definition. This is because:

I am solving `the same problem`

with `the same timelimit value`

for `different input values (generated randomly using uniform distribution)`

while I was printing `execution time`

of each. I have noticed `different execution times`

when I am giving `different inputs`

(ranging from 1min, 5mins, to even 10mins).

Can some one please tell me how the `computation time`

is calculated for timelimit? Why they are different even though I used the same problem with the same timelimit? Is it something related to the size of the input, as its only difference between them? Is there any relation between `computation`

and `execution`

times?

Cheers, Aissan