## 3 Results
### Results for a Real-World Problem  
After the simulations in which the advantages of the proposed method are examined, the solution brought by the method to an important real-world problem will be examined in the simulation to be carried out at this stage. In the new simulations:  
1. In terms of delivery, it is assumed that there are ten points on the map shown in Figure 25. The points on the figure are numbered for ease of identification, regardless of the order of delivery. 2. In Figure 26, the traffic situation on the roads between these points is given. 3. In this scenario, it is assumed that only one truck is used for delivery. \begin{table} \begin{tabular}{c c c c c c c} \hline \hline  & \multicolumn{6}{c}{**Delivery Time Savings for Scenario 1**} \\  & \multicolumn{6}{c}{**20 Instances and Low Flight Ranges**} \\ \hline \hline Ref. & RD-2 & RD-3 & RD-4 & CD-2 & CD-3 & CD-4 \\ \hline
[23] & 3.3\% & 5.2\% & 8.7\% & 4.1\% & 7.1\% & 7.9\% \\ \hline
[21] & 7.5\% & 10.1\% & 12.6\% & 6.0\% & 9.9\% & 11.2\% \\ \hline
[40] & 7.2\% & 9.1\% & 13.6\% & 6.4\% & 10.1\% & 14.4\% \\ \hline
**This paper** & **8.1\%** & **12.9\%** & **15.2\%** & **9.0\%** & **11.1\%** & **17.4\%** \\ \hline \hline \end{tabular} 
\begin{tabular}{c c c c c c c} \hline \hline  & \multicolumn{6}{c}{Delivery Time Savings for Scenario 2} \\  & \multicolumn{6}{c}{50 Instances and High Flight Ranges} \\ \hline \hline Ref. & RD-2 & RD-3 & RD-4 & CD-2 & CD-3 & CD-4 \\ \hline
[23] & \% 4.6 & \% 6.8 & \% 7.9 & \% 5.1 & \% 7.5 & \% 8.6 \\ \hline
[21] & \% 7.2 & \% 11.7 & \% 14.3 & \% 8.7 & \% 12.1 &  
In the first case, the result obtained by making deliveries using only one truck, without considering the traffic data, was found. The route found in this case is shown in Figure 29, and the result is 13,142.43 km. However, the real-world equivalent of the result obtained in this case is a matter open to discussion. In a real-world delivery, the traffic situation is a very important parameter. In the new case made to simulate this situation, traffic data is pulled over the internet and evaluated between 1 and 4. In this way, the algorithm tends to calculate a route where the truck will not use congested roads. In this case, according to the traffic data, the road between delivery points 1 and 2, seen in Figure 26, has been evaluated as having level 4 traffic density. For this reason, the updated distance matrix, which is a clone of the distance matrix in Figure 27, is created first, and then the relevant distance values are updated according to the traffic density. In the case of using the updated distance matrix, a solution, as in Figure 30, is obtained. The proposed algorithm predicted that the traffic situation on the road between nodes 1 and 2 would extend the delivery time and reach these nodes via node 8 without using the road between nodes 1 and 2 in the new route calculated by taking this into account. Figure 28: Representation of delivery points on a representative graph. Figure 29: A solution where a drone is not used and the traffic situation is not taken into account. When the map in Figure 25 is examined, it is seen that the road between the 1 and 2 delivery points coincides with Ciragan Street. Ciragan Street is one of the streets where traffic is very busy at many hours of the day in Istanbul. In other words, if the route in Figure 30 is followed in real life, it can be seen that this route may not actually be a route that will enable the delivery to be completed as soon as possible due to the traffic on Ciragan Street. This situation can also be seen when the roads used in the new route, which the algorithm calculates by considering the traffic situation, are examined. The cost of the new route calculated by the algorithm considering the traffic situation is 13,929.03, as seen in Figure 30. This value is greater than the value found as a result of the previous case, 13,142.43. However, since the algorithm predicts that it will take shorter in practice than in theory, it has chosen this route, which seems to have a higher cost.