Question 3 (20 marks):
Assume there are only two types of vehicles: truck and car. The headways between two
consecutive trucks follow exponential distribution (mean 6 seconds). The headways between
two consecutive cars also follow exponential distribution
For the M/M/1/
1. Intuitive illustration
0 : up1 p0
1: p up ( u ) p
0
2
1
2 : p1 up3 ( u ) p2
step 1: balance equation for each state
.
n: pn 1 upn 1 ( u ) pn
.
p1 p0
2
p2 p0
step 2: using p0 and to represent pn .
p p n
0
n
.
step 3: using to repre
Topic 2: Traffic flow theory
Lecturer: Xiaobo Qu
3/9/2015
1
Traffic flow theory
Transportation is a service offered visa
transportation infrastructure (with capacity)
3/9/2015
Analyze the traffic phenomena
Understand the probabilistic characteristics of
t
Question 3 (25 marks):
A study of free flow at a particular site has resulted in a calibrated flow-speed relationship as follows
(q: traffic volume; u: speed; k: density; a: coefficient).
q 100u a u 2
Assume the capacity is 2000 veh/hour.
(1) Find the coe
Topic 2: Traffic flow theory
Lecturer: Xiaobo Qu
2/26/2015
1
Traffic flow theory
Transportation is a service offered via
transportation infrastructure (with capacity)
2/26/2015
Analyze the traffic phenomena
Understand the probabilistic characteristics of
Introduction to Transportation
Engineering
Dr. Xiaobo Qu
3/2/2015
1
Traffic and Transportation
Transportation is the movement of
passengers and goods from one place to
another.
Passengers and Goods
Movement (via road, rail, sea or waterway, air)
3/2/2015
Right Turn Spacing
Problem 1
There has been a number of complaints from car drivers regarding the right turn lane on Smith
Street. At present, the right turn lane has storage space for 5 vehicles. You are required by Gold
Coast City Council to collect dat
Question 2 (30 marks):
Suppose you are counting the traffic in Pacific Motorway. Vehicles in the motorway are known to arrive
according to a Poisson process. Vehicles are counted in 20-second intervals. You count the number of arriving
vehicles in 140 int
Topic 2: Traffic flow theory
Lecturer: Xiaobo Qu
1
Traffic flow theory
Transportation is a service offered visa
transportation infrastructure (with capacity)
Analyze the traffic phenomena
Understand the probabilistic characteristics of
traffic parameters