# Optimizing Aircraft Routes in Dynamic Conditions Utilizing Multi-Criteria Parameters
## 4 Results
### Practical Modeling
\begin{table}
\begin{tabular}{c c c c c} \hline \hline \multirow{2}{*}{**Algorithm**} & \multicolumn{2}{c}{**Aircraft: Airbus A320 neo**} \\ \hline \multirow{2}{*}{**Aircraft**} & **Fuel Consumption,** & **Flight Duration,** & **Cost of the Route** & **Influence of Weather** \\  & **L/h** & **Hours** & **(USD)** & **Conditions** \\ \hline Dijkstra & 2500 & 5 & 10,000 & Average \\ A* & 2480 & 4.8 & 9800 & Low \\ B* & 2470 & 4.75 & 9700 & Low \\ D* & 2460 & 4.7 & 9600 & Low \\ Advanced solution & 2450 & 4.5 & 9500 & Low \\ \hline \hline \end{tabular}
\begin{tabular}{c c c c} \hline \hline \multirow{2}{*}{**Algorithm**} & **Fuel Consumption,** & **Flight Duration,** & **Cost of the Route** & **Influence of Weather** \\  & **L/h** & **Hours** & **(USD)** & **Conditions** \\ \hline Dijkstra & 2800 & 5.5 & 11,000 & Average \\ A* & 2780 & 5.4 & 10,800 & Low \\ B* & 2770 & 5.3 & 10,700 & Low \\ D* & 2760 & 5.2 & 10,600 & Low \\ Advanced solution & 2750 & 5.0 & 10,500 & Low \\ \hline \hline \end{tabular}
\end{table} 
Table 10: Results of the obtained practical modeling data. \begin{table}
\begin{tabular}{c c c} \hline \hline \multicolumn{1}{c}{**Data Source**} & **Data Type** & **Name** \\ \hline Aviation companies & Fuel consumption, routes & American Airlines reports \\ Meteorological services & Weather conditions & NOAA weather forecast (data for 2023) \\ Civil aviation regulators & Regulatory documents, airports & FAA reports \\ \hline \hline \end{tabular}
\end{table} 
Table 11: Types of input data used to optimize logistics routes for selected aircraft. \begin{table}
\begin{tabular}{c c c c} \hline \hline \multirow{2}{*}{**Aircraft**} & **Normal Fuel** & **Fuel Consumption** & **Fuel Consumption at** \\  & **Consumption** & **in High Winds** & **High Temperatures** \\  & **(L/1000 km)** & **(+15\%)** & **(+10\%) (Above 30 \({}^{\circ}\)C)** & **Low Temperatures (5\%)** \\ \hline Boeing 737 MAX & 3020 & 3473 & 3322 & 2869 \\ Airbus A320 neo & 2899 & 3334 & 3189 & 2754 \\ \hline \hline \end{tabular}
\end{table} 
Table 12: Corrections for test modeling (taking into account the effect of weather conditions on aircraft fuel consumption). Our approach stands out for its more detailed analysis of economic indicators. For example, the fuel consumption for the Airbus A320 neo was reduced to 2450 L per hour, which is 2% better than the figures given in [15], where the main focus was on mathematical modeling of the minimum flight duration without a detailed consideration of economic features. In addition, our study considers three-dimensional space and dynamic route changes (unlike [21], which uses two-dimensional solutions). Whereas our approach takes into account altitude changes and the impact of turbulence, which reduced costs by 4%, and confirms the benefits of using three-dimensional space for routes. In general, our study achieves a result that reduces flight time by 5% and fuel consumption by 3-4%, which surpasses the results reported in many previous studies. These data indicate the effectiveness of our model in real flight conditions, factoring in dynamic changes and external factors.