Fundamentals of Transportation/Route Choice/Problem

Given a flow of six (6) units from origin “o” to destination “r”. Flow on each route ab is designated with Qab in the Time Function. Apply Wardrop's Network Equilibrium Principle (Users Equalize Travel Times on all used routes)

Link Attributes

Link	Link Performance Function	Flow	Time
o-p	$C_{op}=5*Q_{op}$
p-r	$C_{pr}=25+Q_{pr}$
o-q	$C_{oq}=20+2*Q_{oq}$
q-r	$C_{qr}=5*Q_{qr}$

Template:Problem

Solution