# Solutions to the Problem of Freight Transport Flows in Urban Logistics
## 3 Results
Indicators according to all criteria were calculated in a similar sequence and are given in Table 3.  
According to the equation \(\overset{\sim}{Q_{j}}=\frac{\underset{j=1}{\overset{\leftarrow}{\sum}}B_{ij} }{\underset{j=1}{\overset{\leftarrow}{\sum}}\underset{j=1}{\overset{ \leftarrow}{\sum}}B_{ij}}\), the indicators of the importance of each factor were calculated and are also summarized in Table 3.  
The distribution of factors that influence the mobility and ecology according to importance is shown graphically in Figure 1. \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline \multirow{2}{*}{**Codes of Experts**} & \multicolumn{6}{c}{**Factors That Have the Greatest Impact on a City’s Logistics System**} \\ \cline{2-9}  & **A1** & **A2** & **A3** & **A4** & **A5** & **A6** & **A7** & **A8** \\ \hline E10 & 2 & 4 & 7 & 1 & 8 & 3 & 6 & 5 \\ \hline \multicolumn{9}{c}{Sum of the Ranks \(R_{j}=\underset{i=1}{\overset{\leftarrow}{\sum}}R_{ij}(j=1,2,\ldots m)\).} & 18 & 25 & 60 & 37 & 59 & 62 & 59 & 45 \\ \hline \multicolumn{9}{c}{Average Rank \(\overset{\leftarrow}{\underset{i=1}{\overset{\leftarrow}{\sum}}R_{ij}}= \frac{\underset{i=1}{\overset{\leftarrow}{\sum}}\underset{j=1}{\overset{ \leftarrow}{\sum}}R_{ij}}{\underset{m}{\overset{\leftarrow}{\sum}}}\),} & 1.8 & 2.5 & 6 & 3.7 & 5.9 & 6.2 & 5.9 & 4.5 \\ \hline \multicolumn{9}{c}{Subtraction of the sum of ranks \(\underset{i=1}{\overset{\leftarrow}{\sum}}-27\) and a constant \(\overset{\leftarrow}{\sum}-20\) & 15 & \(-8\) & 14 & 17 & 14 & 0 \\ \hline \multicolumn{9}{c}{The weighting of the concordance coefficient was calculated according to Equation (6):} \\ \multicolumn{9}{c}{\(\chi^{2}=12\times 2099/10\times 8(8+1)=34.98\). Since the calculated value of \(\chi^{2}\) is greater than the value of \(\chi^{2}_{LY}\) (18.4753), the opinion of the respondents is considered to be consistent and the average ranks show a common opinion.} \\ \multicolumn{9}{c}{According to Equation (7), the lowest value of the concordance coefficient, \(W_{\min}\), was calculated:} \\ \multicolumn{9}{c}{\(W_{\min}=18.4753/10\) (\(8-1\)) = 0.264 \(<<0.500\).} \\ \multicolumn{9}{c}{The calculations showed that the opinions of ten respondents agree on eight factors that influence the optimization of a city’s logistics system, and the opinions of all respondents are summarized.} \\ \multicolumn{9}{c}{Next, the indicators of the importance of factors influencing the mobility of urban logistics and ecology, \(Q_{j}\), were calculated according to the ARTIW method.} \\ \multicolumn{9}{c}{The correlation of the criteria is calculated according to the equation:} \\ \multicolumn{9}{c}{\(\overset{\leftarrow}{q}=\frac{\overset{\leftarrow}{R_{j}}}{\underset{j=1}{ \overset{\leftarrow}{\sum}}R_{J}}.\)} \\ \multicolumn{9}{c}{The inverse is calculated using the equation \(d_{j}=1-\overset{\leftarrow}{q}_{j}=1-\frac{\overset{\leftarrow}{R_{j}}}{ \underset{j=1}{\overset{\leftarrow}{\sum}}R_{j}}\).} \\ \multicolumn{9}{c}{A weight indicator was obtained using this equation \(Q_{j}=\frac{d_{j}}{\underset{j=1}{\overset{\leftarrow}{\sum}}d_{j}}=\frac{d_ {j}}{m-1}\).} \\ \multicolumn{9}{c}{Indicators according to all criteria were calculated in a similar sequence and are given in Table 3.} \\ \multicolumn{9}{c}{According to the equation \(\overset{\sim}{Q_{j}}=\frac{\underset{j=1}{\overset{\leftarrow}{\sum}}B_{ij} }{\underset{j=1}{\overset{\leftarrow}{\sum}}B_{ij}}\), the indicators of the importance of each factor were calculated and are also summarized in Table 3.} \\ \multicolumn{9}{c}{The distribution of factors that influence the mobility and ecology according to importance is shown graphically in Figure 1.} \\ \end{tabular}
\end{table} 
Table 2: _Cont._After calculating the importance indicators, it can be concluded that legal regulations, innovation and information technology, geographic location of economic entities, and cooperation of economic entities currently have a smaller influence on city logistics (importance indicators of 0.083, 0.078, 0.086, and 0.086, respectively).