Module 2: Transportation planning

Lecture 8 Trip distribution

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Example

The productions from zone 1, 2 and 3 are 98, 106, 122 and attractions to zone 1,2 and 3 are 102, 118, 106. The function $f(c_{ij})$ is defined as $f(c_{ij}) = 1/{c_{ij}^2}$ The cost matrix is as shown below

$$\left[ \begin{array}{ccc} 1.0&1.2&1.8 \\ 1.2&1.0&1.5 \\ 1.8&1.5&1.0 \\ \end{array} \right]$$ (1)