# A Mathematical Model for Efficient and Fair Resource Assignment in Multipath Transport
## 5 Performance Evaluation
\begin{table}
\begin{tabular}{c c c c c c} \hline \multicolumn{6}{c}{**Scenario 5**} \\ \hline Flow & BSF I & BSF II & BFF I & BFF II & NFF \\
[a,b] & 5.0 & 5.0 & 5.0 & 5.0 & 5.0 \\
[a,d] & 5.0 & 5.0 & 5.0 & 5.0 & 5.0 \\
[c,d] & 5.0 & 5.0 & 5.0 & 5.0 & 5.0 \\ \hline \multicolumn{6}{c}{**Scenario 6**} \\ \hline Flow & BSF I & BSF II & BFF I & BFF II & NFF \\
[a,c] & 3.3 & 3.3 & 3.3 & 3.3 & 3.3 \\
[a,d] & 3.3 & 3.3 & 3.3 & 3.3 & 3.3 \\
[b,d] & 3.3 & 3.3 & 3.3 & 3.3 & 3.3 \\ \hline \multicolumn{6}{c}{**Scenario 7**} \\ \hline Flow & BSF I & BSF II & BFF I & BFF II & NFF \\
[a,b] & 15.0 & 15.0 & 15.0 & 15.0 & 15.0 \\
[a,d] & 5.0 & 5.0 & 5.0 & 5.0 & 5.0 \\
[c,d] & 5.0 & 5.0 & 5.0 & 5.0 & 5.0 \\ \hline \multicolumn{6}{c}{**Scenario 8**} \\ \hline Flow & BSF I & BSF II & BFF I & BFF II & NFF \\
[a,c] & 3.3 & 3.3 & 3.3 & 3.3 & 3.3 \\
[a,d] & 3.3 & 3.3 & 3.3 & 3.3 & 3.3 \\
[b,d] & 3.3 & 3.3 & 3.3 & 3.3 & 3.3 \\ \hline \end{tabular}
\end{table} 
Table 3: Flow set and LP results for the flows’ end-to-end throughput for scenarios 5 to 8 described in Figure 14. All values in Mbps. Figure 17: Topology of scenarios 19 and 20: Three alternative connections for flow \([a,f]\) via c, b or d. The numbers specify the link speeds in Mbps. Figure 15: Allow set and LP results for the flows’ end-to-end throughput for scenarios 9 to 14 described in Figure 15. All values in Mbps. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline  & \multicolumn{4}{c}{**Scenario 9**} \\ \hline Flow & BSF I & BSF II & BFF I & BFF II & NFF \\
[a,f] & 10.0 & 15.0 & 10.0 & 15.0 & 15.0 \\
[a,f] & 20.0 & 15.0 & 20.0 & 15.0 & 15.0 \\ \hline \hline  & \multicolumn{4}{c}{**Scenario 10**} \\ \hline Flow & BSF I & BSF II & BFF I & BFF II & NFF \\
[a,f] & 10.0 & 15.0 & 10.0 & 15.0 & 10.0 \\
[a,h] & 10.0 & 10.0 & 15.0 & 10.0 & 10.0 \\
[c,g] & 10.0 & 5.0 & 5.0 & 5.0 & 10.0 \\ \hline \hline  & \multicolumn{4}{c}{**Scenario 11**} \\ \hline Flow & BSF I & BSF II & BFF I & BFF II & NFF \\
[a,b] & 15.0 & 8.3 & 15.0 & 10.0 & 8.8 \\
[a,f] & 10.0 & 16.7 & 5.0 & 10.0 & 8.8 \\
[a,h] & 5.0 & 5.0 & 10.0 & 10.0 & 8.8 \\
[c,g] & 5.0 & 5.0 & 5.0 & 5.0 & 8.8 \\ \hline \hline  & \multicolumn{4}{c}{**Scenario 12**} \\ \hline Flow & BSF I & BSF II & BFF I & BFF II & NFF \\
[a,b] & 10.0 & 17.5 & 17.5 & 17.5 & 12.5 \\
[a,f] & 15.0 & 7.5 & 7.5 & 7.5 & 12.5 \\ \hline \hline  & \multicolumn{4}{c}{**Scenario 13**} \\ \hline Flow & BSF I & BSF II & BFF I & BFF II & NFF \\
[a,f] & 20.0 & 20.0 & 20.0 & 20.0 & 20.0 \\
[c,h] & 15.0 & 15.0 & 15.0 & 15.0 & 15.0 \\ \hline \hline  & \multicolumn{4}{c}{**Scenario 14**} \\ \hline Flow & BSF I & BSF II & BFF I & BFF II & NFF \\
[a,f] & 8.3 & 8.3 & 5.0 & 8.3 & 8.0 \\
[a,h] & 8.3 & 10.0 & 10.0 & 10.0 & 8.0 \\
[a,g] & 10.0 & 6.7 & 10.0 & 6.7 & 8.0 \\
[c,h] & 8.3 & 8.3 & 5.0 & 8.3 & 8.0 \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Flow set and LP results for the flows’ end-to-end throughput for scenarios 9 to 14 described in Figure 15. All values in Mbps. Figure 18: Topology of scenarios 21 to 24: Two consecutive two-path connections a-f and i-n with intermediate bottleneck link f-i. The numbers specify the link speeds in Mbps. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline  & \multicolumn{6}{c}{**Scenario 19**} \\ \hline Flow & BSF I & BSF II & BFF I & BFF II & NFF \\ \hline
[a,f] & 53.3 & 60.0 & 60.0 & 50.0 & 40.0 \\
[b,f] & 33.3 & 30.0 & 30.0 & 35.0 & 40.0 \\
[a,e] & 33.3 & 30.0 & 30.0 & 35.0 & 40.0 \\ \hline \hline \multicolumn{6}{c}{**Scenario 20**} \\ \hline Flow & BSF I & BSF II & BFF I & BFF II & NFF \\
[a,c] & 30.0 & 23.3 & 40.0 & 20.0 & 22.5 \\
[a,d] & 30.0 & 21.7 & 10.0 & 30.0 & 22.5 \\
[a,e] & 10.0 & 28.3 & 10.0 & 20.0 & 22.5 \\
[a,f] & 20.0 & 16.7 & 30.0 & 20.0 & 22.5 \\
[b,f] & 30.0 & 30.0 & 30.0 & 30.0 & 30.0 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Flow set and LP results for the flows’ end-to-end throughput for scenarios 19 and 20 described in Figure 17. All values in Mbps.