Module 2: Transportation planning

Lecture 8 Trip distribution

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Problems

The trip productions from zones 1, 2 and 3 are 110, 122 and 114 respectively and the trip attractions to these zones are 120,108, and 118 respectively. The cost matrix is given below. The function $f{(c_{ij})}= \frac{{1}}{{c_{ij}}}$

$$\begin{eqnarray*} \left[ \begin{array}{ccc} 1.0&1.2&1.8 \\ 1.2&1.0&1.5 \\ 1.8&1.5&1.0 \\ \end{array} \right] \end{eqnarray*}$$

Compute the trip matrix using doubly constrained gravity model. Provide one complete iteration.