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(1)

Integrated Traffic Network Control

---A mixed network with freeway and urban road

Yu Han

Department of Transport & Planning Delft University of Technology

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 Introduction

 Methodology

 Case studies

 Conclusions and future research

(3)

Introduction

Decentralized control Off-line control

Limited-sized networks

Main disadvantages of current traffic control methods

Disadvantages:

•Off-line control: Ineffective with disturbances, such as emergency. •Decentralized control: Unsuitable for heterogeneously loaded traffic network. •Limited-sized: Can’t be used to real life networks, or just be used as local control, which may shift the congestion problem to other part of the network.

(4)

Introduction

Basic framework:

Control measures: Intersection signal.

Variable message sign.

(5)

Methodology

Cell-based store and forward model:

{ : } { :s } { : } { : } { : } { : } ( 1) ( ) ( ) ( ) ( ) ( 1) ( ) ( ) ( ) min( , , ) / 0 ( ) ( ) ( ) , ,

( )

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j j j j d j j j j j j j k k k j j j j j d k j k d k j j l j s k l d l j s s d d j j j k d d d k j j l k j d k l s l j j d j k k x n x n a n u n f u n f n m x n u n f m n x i c x o f f x n m u n f m n s s

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                      

, , k ck n

② ③

u1 u2 u3 u4 u5 u6

(6)

Methodology

Linear quadratic model predictive control:

1

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min

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0 0 Ds Dsd Ds B Dsd Dsd Dsd Ds

0 0 Dds Dds Dds H Dds Dds

1 2 1 2 p j p j P p jN N                  1 2 1 2 d j d j D d jN N                 

(7)

Methodology

Driver’s route choice modelling:

exp(

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is the route travel time. describes how drivers react on a travel time

difference between two alternatives. The value of it is based on reasonable experimental results.

(8)

Case studies

O1

O2

D

Ramp metering signal Dynamic route guidance system

Case 1: Network setup

Conceptual network of the case study:

There are two origins and one destination in this network.

The network contains five heterogeneous links:

Black line: freeway;

red line: disturbance areas;

light blue line: major arterial road dark blue line: urban road

green line: ramps.

There are two RMSs and one DRGS in this network control system.

Capacity reduced 40%

(9)

Case studies

Case 1: Model and control parameters

Parameters for freeway, arterial road, urban road and ramp: Free flow speed: 120km/h, 90km/h, 60km/h and 30km/h.

Cell length: 1 km, 750 m, 500 m and 250 m.

Capacity: 2000, 1800, 1200 and 1200 veh/h/lane. Flow rate: 50, 30, 20, 10 (veh/time step).

Maximum queue length: 405, 200, 135, 35 (veh/cell). Simulation step: 30s.

(10)

Case studies

Case 1: Scenarios

1. User equilibrium of the network without disturbance. 2. System optimal of the network without disturbance. 3. System optimal of network with disturbance.

4. No guidance of network with disturbance.

5. Integrated control of network with disturbance.

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Case studies

Case 1: Results

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Case studies

Case 1: Results

when control interval is 30s, the whole simulation time is 11.88 seconds; 60s corresponds to 11.81 seconds; 90s corresponds to 11.67 seconds.

(13)

Case studies

Case 2: Network setup

The grey nodes represent the metered on-ramps and the black nodes the intersections with signal control.

(14)

Case studies

Case 2: Results

2. UE routing scenario 3. No routing scenario

1. System optimal scenario

Total delay: 115.6h Total delay: 126.7h

The intersection signal of scenario 2 and 3 are generated from MPC controller, but their route choice behaviour are different. Scenario 2 use UE routing, the compliance rate is 1, while scenario 3 has no routing control.

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Case studies

Case 3: Network setup

The grey nodes represent the metered on-ramps and the black nodes the intersections with signal control.

(16)

Case studies

Case 3: Results

2. MPC control case 3. Fix-time control case

1. System optimal case

Total delay: 74.5h Total delay: 150.9h

Both scenario 2 and 3 use UE routing. Their intersection control are different. The

intersection signal of scenario 2 was generated from MPC controller, while intersection signal of scenario 3 used fix time control plan.

(17)

Conclusions

• Try to combine the variational route choice behaviour into the

predicting model and the controller.

• Try to integrate ramp metering installation into the controller.

(18)

Future research

• Try to combine the variational route choice behaviour into the

predicting model and the controller.

• Try to integrate ramp metering installation into the controller.

(19)

Cytaty

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