# An Optimized Load Balance Solution for Multi-homed Host in Heterogeneous Wireless Networks
## 4 Model Simulation and Analysis
### Simulation Results and Analysis
#### 4.2.3 Utilization of Multiple Connections Using Utility Connection Equation and AHP  
The Algorithm 1 Matlab M-file is used to analyze the performance of the proposed solution by providing unequal distribution of the application data using both the AHP as the selected MADM method and the proposed utility connection equation. As seen in Figure 8, simulation results reveal that the proposed model achieves the required objective, which is transmitting the data traffic per each \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Web Application** & **PR** & **C** & **D** & **T** \\ \hline PR & 1 & 3 & 4 & 2 \\ \hline C & 1/3 & 1 & 1/5 & 1/6 \\ \hline D & 1/4 & 5 & 1 & 1/7 \\ \hline T & 1/2 & 6 & 7 & 1 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: The pairwise comparison matrix for the network attributes for web applications. \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**System Application** & **PR** & **C** & **D** & **T** \\ \hline PR & 1 & 1/3 & 4 & 1/5 \\ \hline C & 3 & 1 & 6 & 7 \\ \hline D & 1/4 & 1/6 & 1 & 2 \\ \hline T & 7 & 1/7 & 1/2 & 1 \\ \hline \hline \end{tabular}
\end{table} 
Table 7: The pairwise comparison matrix for the network attributes for system application. \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Multimedia and Gaming** & **PR** & **C** & **D** & **T** \\ \hline PR & 1 & 1/2 & 1/7 & 1/6 \\ \hline C & 2 & 1 & 1/7 & 1/4 \\ \hline D & 7 & 7 & 1 & 2 \\ \hline T & 6 & 4 & 1/2 & 1 \\ \hline \hline \end{tabular}
\end{table} 
Table 5: The pairwise comparison matrix for the network attributes for multimedia and gaming applications. application preference over the available multiple connections as an unequal cost load balance scheme instead of offloading application data based on the ranking of connections. As seen in Figure 8, the results of the proposed model processed by Algorithm 1 show a variation in application data transfer as a reflection of their requirements. Moreover, and with reference to the measured data represented in Table 6 and the relevant application class results, we deduce that they are compatible and proved the efficiency of the proposed optimization process. The varieties of the applications data distribution were significantly better in term of the application preference and which is based on their relative connection attribute and needs. Figure 9 illustrates the comparison between the proposed model and utilizing the TOPSIS algorithm as an application based handover solution. The comparison is based on the multi-media application class. As shown from this figure, the improvement is represented in better utilization of the application data traffic over the available network connections which is translated into better utilization of the total throughput and less usage of the interface buffer. Figure 8: Illustration of the unequal cost load balance per application class using AHP. Figure 9: Comparison of network connections utilization based on the proposed model versus the TOPSIS algorithm. It is observed that WiFi#1 is the best network in both algorithms. However, there is a significant difference in ranking other networks. AHP ranks the available network connections in an integral form, which aids in distributing the application data over multiple networks in unequal cost load balance scheme. The proposed model addresses the usage of all available connections without any exclusion. As a comparison of handover solution, we can see that load balance provides better transmission in terms of fair distribution of data over multiple connections and which aims at boosting the overall performance. Moreover, in case of low system power, the proposed model transforms into a handover solution and transmits over the less power consumption connection (WiFi#1) like TOPSIS. The proposed system model checks the end device system power against the low power constraint, which is 15% of the total system power. The proposed system is considering the mobile energy system model for power criteria and estimation.