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In the system, continuous control laws replace heuristics, and part arrival times are adjusted locally using feedback of expected completion times.
Fig. 7 Expected completion times scaled by standard deviations of S2HNC and RLNC for small M, ε 1=0.05, ε 2=0.2.
The expected rates, M/E{T}, of S2HNC and RLNC are also provided in Fig. 6, where the expected completion times are calculated using the analysis results.
Definition 2 Assume that s i represents the voltage supply class of resource r i, and CT i, j) are the expected completion times for task T j on resource r i ; then the completion time for task T j on resource r i can be formulated as follows: C T ' i, j = 1 f 1 i × CT i, j, 1 f 2 i × CT i, j, …, 1 f k i × CT i, j (2).
For ease of exposition, we analyze the expected completion times of the two schemes.
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The expected completion time of the task is then calculated using the expected start time of the task (line 9).
In practice, jobs are often controlled by independent, selfishly acting agents, which each select a machine for processing that minimizes the (expected) completion time.
A set of experiments shows that the Promethee scheduler is able to maximize user satisfaction expressed accordingly to three distinct criteria: price, expected completion time and trust, while maximizing the infrastructure useful employment from the resources owner point of view.
The expected completion time of S2HNC is then mathrm{E}{T}=M+Delta_{M}.
In the finite regime when q may be small, S2HNC has a shorter expected completion time.
Based on the above analysis, we next establish that S2HNC has a shorter expected completion time and therefore achieves higher end-to-end rate than RLNC.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com