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I am trying to understand the formula for processing speed of each job. I got the formula from the following link:

Fair Online Scheduling for Selfish Jobs on Heterogeneous Machines

The other details are provided below:

Description1

I can't understand what is the basis (i.e. the fundamental logic) of the following formula. Speed (i.e. Velocity) is given by : S= V * t

Why we have this fraction term in the formula? What does the denominator represent? I think it is representing the processing time of each job.

Somebody please guide me

Description 2

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