Module 2: Transportation planning

Lecture 8 Trip distribution

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Example

Trips originating from zone 1,2,3 of a study area are 78,92 and 82 respectively and those terminating at zones 1,2,3 are given as 88,96 and 78 respectively. If the growth factor is 1.3 and the cost matrix is as shown below, find the expanded origin-constrained growth trip table.

	1	2	3	$o_i$
1	20	30	28	78
2	36	32	24	92
3	22	34	26	82
$d_j$	88	96	78	252

Solution

Given growth factor = 1.3, Therefore, multiplying the growth factor with each of the cells in the matrix gives the solution as shown below.

	1	2	3	$O_i$
1	26	39	36.4	101.4
2	46.8	41.6	31.2	119.6
3	28.6	44.2	33.8	106.2
$D_j$	101.4	124.8	101.4	327.6