Chapter 1, Problem P21P

Explanation of Solution

Path $\text{k}\text{(k}\text{=}\text{}\text{1,}\text{2,}\mathrm{......}\text{,}\text{M)}$ includes N number of links with different transmission rates ${\text{R}}^{\text{k}}{}_{\text{1}}\text{,}{\text{R}}^{\text{k}}{}_{\text{2}}\text{,}\mathrm{........}\text{,}{\text{R}}^{\text{k}}{}_{\text{M}}$.

By including M number of paths in the transmission, the maximum throughput of single path can be calculated by the following expression,

$\text{max{}{\text{min{R}}^{\text{1}}{}_{\text{1}}\text{,}{\text{R}}^{\text{1}}{}_{\text{2}}\text{,}\mathrm{........}\text{,}{\text{R}}^{\text{1}}{}_{\text{N}}\text{},}{\text{min{R}}^{\text{2}}{}_{\text{1}}\text{,}{\text{R}}^{\text{2}}{}_{\text{2}}\text{,}\mathrm{}$