Fundamentals of Transportation/Route Choice/Problem

TProblem

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)

A. What is the flow and travel time on each link? (complete the table below) for Network A

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	$C_{qr}=5*Q_{qr}$

B. What is the system optimal assignment?

C. What is the Price of Anarchy?

• Solution