Distance approximation for the S-shape hall versus Us - Expected travel dist X direction S-shape

4 important questions on Distance approximation for the S-shape hall versus Us - Expected travel dist X direction S-shape

How can the pick locations be seen in the approach?

As continuous random variables and use the continuous approach

How can the expected maximum distance be calculated of N continuous random variables that are uniformly distributed on a [0,x] scale?

By taking the maximum expected value of NX/(N+1)

What to keep in mind when using the estimation of the total travel distance in the X-direction?

The estimation only holds when on both sides of the I/O points there are picks available.
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What is the probability p both that on both sides picks are available?

1-pboth = (1/2)^(n-1)

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