An Open Access Journal
Table 1 Illustrative OD matrix showing the traffic flow volume between stations or stops. The last row and column shows the total volume on a given entry or exit, respectively
Destination \(j\) | ||||||
|---|---|---|---|---|---|---|
1 | 2 | … | w | \(O_{j} = \mathop \sum \limits_{i = 1}^{n} v_{i,j}\) | ||
Origin \(i\) | 1 | \({v}_{\mathrm{1,1}}\) | \({v}_{\mathrm{1,2}}\) | \({v}_{1,j}\) | \({v}_{1,w}\) | \({O}_{1}\) |
2 | \({v}_{\mathrm{2,1}}\) | \({v}_{\mathrm{2,2}}\) | \({v}_{2,j}\) | \({v}_{2,w}\) | \({O}_{2}\) | |
… | \({v}_{i,1}\) | \({v}_{i,2}\) | \({v}_{i,j}\) | \({v}_{i,w}\) | \({O}_{i}\) | |
z | \({v}_{z,1}\) | \({v}_{z,2}\) | \({v}_{z,j}\) | \({v}_{z,w}\) | \({O}_{z}\) | |
\(D_{j} = \mathop \sum \limits_{i = 1}^{n} v_{i,j}\) | \({D}_{1}\) | \({D}_{2}\) | \({D}_{j}\) | \({D}_{w}\) | \(V = \mathop \sum \limits_{i,j}^{n \times n} v_{i,j}\) | |