What is the calculated efficiency of a configuration using 2 nodes over 4 hours compared to 4 nodes over 3 hours?

To determine the calculated efficiency of using 2 nodes over 4 hours compared to 4 nodes over 3 hours, we can first establish the total computational work performed in each scenario.

The total work done can be quantified as the product of the number of nodes and the time they are running. For the first configuration with 2 nodes operating for 4 hours, the total work is calculated as follows:

• Total work with 2 nodes: ( 2 \text{ nodes} \times 4 \text{ hours} = 8 \text{ node-hours} )

For the second configuration with 4 nodes running for 3 hours, the total work is:

• Total work with 4 nodes: ( 4 \text{ nodes} \times 3 \text{ hours} = 12 \text{ node-hours} )

Now that we have the total work for both configurations, we can calculate the efficiency of the first configuration relative to the second by dividing the total work of the first configuration by that of the second. This is calculated as follows:

[

\text{Efficiency} = \left( \frac{\text{Work with 2 nodes}}{\text{Work with 4 nodes}} \right