Chapter 4.3, Problem 10E

Interpretation Introduction

Interpretation:

To deriving the square root scaling law for the time spent passing through a bottleneck, show that ${\text{T}}_{bottleneck}=c{r}^b$ and determine b and c.

Concept Introduction:

By deriving the square root scaling law for the time spent passing through a bottleneck, we can find T.

For finding T, use residue integral theorem as ${\displaystyle \underset{-\infty }{\overset{\infty }{\int }}f(x)dx=2\pi i}{\displaystyle \sum R}$