Module 2: Transportation planning

Lecture 9 Modal split

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Example

Let the number of trips from zone $i$ to zone $j$ is 5000, and two modes are available which has the characteristics given in Table 1. Compute the trips made by mode bus, and the fare that is collected from the mode bus. If the fare of the bus is reduced to 6, then find the fare collected.

Table 1: Trip characterisitcs

	$t_{ij}^u$	$t_{ij}^w$	$t_{ij}^t$	$f_{ij}$	$\phi_j$
car	20	-	18	4
bus	30	5	3	9
$a_i$	0.03	0.04	0.06	0.1	0.1

Table 2: Binary logit model example: solution

	$t_{ij}^u$	$t_{ij}^w$	$t_{ij}^t$	$f_{ij}$	$\phi_j$	$c_{ij}$	$p_{ij}$	$T_{ij}$
ar	20	-	18	4		2.08	.52	2600
bus	30	5	3	9		2.18	.475	2400
$a_i$	.03	.04	.06	.1	.1