Fig 1.
Road network of Korea highway.
(Drawn by authors using QGIS program, data source: Ministry of Land, Infrastructure and Transport (MOLIT), the data are free source for everyone, the authors did not have any special privileges that others would have in obtaining the data).
Fig 2.
Degree distribution of road network in Korea highway.
(Drawn by authors using R program, data source: Korea Expressway Corporation, the data are free source for everyone, the authors did not have any special privileges that others would have in obtaining the data).
Fig 3.
Average daily traffic pattern of Korea highway.
(Drawn by authors using QGIS program, data source: MOLIT and Korea Expressway Corporation, the data are free source for everyone, the authors did not have any special privileges that others would have in obtaining the data).
Fig 4.
Example of Origin-Destination network.
(Drawn by authors using R program, data source: Korea Expressway Corporation, the data are free source for everyone, the authors did not have any special privileges that others would have in obtaining the data).
Fig 5.
Degree distribution of Origin-Destination network.
(Drawn by authors using R program, data source: Korea Expressway Corporation, the data are free source for everyone, the authors did not have any special privileges that others would have in obtaining the data).
Fig 6.
Example cases of the demand distribution of VN during weekday and weekend.
(Drawn by authors using R program, data source: Korea Expressway Corporation, the data are free source for everyone, the authors did not have any special privileges that others would have in obtaining the data).
Fig 7.
The distributions of regression coefficients of VNs for each weekday and weekend.
(Drawn by authors using R program, data source: Korea Expressway Corporation, the data are free source for everyone, the authors did not have any special privileges that others would have in obtaining the data).
Fig 8.
The weekday density trend according to the time evolution with different regression coefficient values.
(Drawn by authors using R program, data source: Korea Expressway Corporation, the data are free source for everyone, the authors did not have any special privileges that others would have in obtaining the data).
Fig 9.
The weekend density trend according to the time evolution with different regression coefficient values.
(Drawn by authors using R program, data source: Korea Expressway Corporation, the data are free source for everyone, the authors did not have any special privileges that others would have in obtaining the data).
Fig 10.
The goodness-of-fit of each regression coefficient of VNs with respect to day type.
(Drawn by authors using R program, data source: Korea Expressway Corporation, the data are free source for everyone, the authors did not have any special privileges that others would have in obtaining the data).
Fig 11.
Estimation method of coefficient difference between PN and VN.
(Drawn by authors using R program).
Fig 12.
The effect on the road performance.
(Drawn by authors using R program, data source: Korea Expressway Corporation, the data are free source for everyone, the authors did not have any special privileges that others would have in obtaining the data).
Fig 13.
The application of proposed relation.
(Drawn by authors using R program).