# Study on Multi-Objective Optimization-Based Climate Responsive Design of Residential Building
## 3 Multi-Objective Optimization Platform Set-Up
### Design Parameter Settings of Typical Buildings

Table 4: Material parameters of building envelope. Figure 11: Typical models for optimization. \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**N** & **Type** & **U (W/m\({}^{2}\)K)** & **SHGC (\(\star\))** & **Investment Cost (\(\$/\)m\({}^{2}\))** \\ \hline \multirow{2}{*}{1} & Double-glazed with air-filling, low-e & \multirow{2}{*}{3.09} & \multirow{2}{*}{0.69} & \multirow{2}{*}{269.37} \\  & coating, aluminum frame & & & \\ \multirow{2}{*}{2} & Tinted double-glazed with air-filling, low-e coating, PVC frame & & & \\  & Tinted double-glazed with air-filling, low-e coating, PVC frame & & & \\ \multirow{2}{*}{3} & Selective double-glazed with air-filling, low-e coating, PVC frame & & & \\  & Double-glazed with argon-filling, low-e coating, PVC frame & & & \\ \multirow{2}{*}{4} & Tinted double-glazed with argon-filling, low-e coating, PVC frame & & & \\  & Selective double-glazed with & & & \\ \multirow{2}{*}{5} & Tinted double-glazed with argon-filling, low-e coating, PVC frame & & & \\  & low-e coating, PVC frame & & & \\ \multirow{2}{*}{6} & Selective double-glazed with & & & \\  & argon-filling, low-e coating, PVC frame & & & \\ \multirow{2}{*}{7} & Triple-glazed with argon-filling, low-e coating, PVC frame & & & \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Different types of windows and their parameters and investment costs. \begin{table}
\begin{tabular}{c c} \hline \hline
**N** & **Design Variable** & **Parameter** \\ \hline
1 & Building orientation (\({}^{\circ}\)) & \(-45\); \(0\); \(45\) \\
2 & Solar absorbance of external wall (-) & \(0.1\); \(0.25\); \(0.4\); \(0.5\); \(0.6\); \(0.7\); \(0.8\); \(0.9\) \\
3 & Solar absorbance of roof (-) & \(0.1\); \(0.2\); \(0.3\); \(0.4\); \(0.5\); \(0.6\); \(0.7\); \(0.9\) \\
4 & Insulation thickness of external wall (m) & \(0\); \(0.03\); \(0.04\); \(0.05\); \(0.06\); \(0.08\); \(0.10\); \(0.12\) \\
5 & Insulation thickness of roof (m) & \(0\); \(0.03\); \(0.04\); \(0.05\); \(0.06\); \(0.08\); \(0.10\); \(0.12\) \\
6 & Insulation thickness of ground floor (m) & \(0\); \(0.03\); \(0.04\); \(0.05\); \(0.06\); \(0.08\); \(0.10\); \(0.12\) \\
7 & Block thickness of external wall (m) & \(0\); \(0.03\); \(0.04\); \(0.05\); \(0.06\); \(0.08\); \(0.10\); \(0.12\) \\
7 & Block thickness for external wall (m) & \(0.25\); \(0.30\); \(0.35\); \(0.40\) \\
8 & Block thermal conductivity for the external wall (W/mK) \({}^{\star}\) & \(0.25\); \(0.30\); \(0.36\); \(0.43\); \(0.50\); \(0.59\); \(0.72\); \(0.90\) \\
8 & Block density for the external wall (Kg/m) \({}^{\star}\) & \(600\); \(800\); \(1000\); \(1200\); \(1400\); \(1600\); \(1800\); \(2000\) \\
9 & Block thickness for roof (m) & \(0.25\); \(0.30\); \(0.35\); \(0.40\) \\
10 & Block thermal conductivity for the roof (W/mK) \({}^{\star}\) & \(0.25\); \(0.30\); \(0.36\); \(0.43\); \(0.50\); \(0.59\); \(0.72\); \(0.90\) \\
11 & Block thickness for ground floor (m) & \(0.25\); \(0.30\); \(0.35\); \(0.40\) \\
12 & Block thermal conductivity for the ground floor (W/mK) \({}^{\star}\) & \(0.25\); \(0.30\); \(0.36\); \(0.43\); \(0.50\); \(0.59\); \(0.72\); \(0.90\) \\
13 & Types of window (see Table 6) & \(1\); \(2\); \(3\); \(4\); \(5\); \(6\); \(7\) (see Table 6) \\ \hline \hline \end{tabular}
\end{table} 
Table 5: Design parameters for reference buildings in each climate zone.