1 Road Pricing: Peñon – Texcoco Mexico Case 18th Annual International EMME/2 Users’ Conference 20-22 October, 2004 Cuidad de México, Mexico Ing. Alfonso.

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Road Pricing:Peñon – Texcoco Mexico Case

18th Annual International EMME/2 Users’ Conference20-22 October, 2004

Cuidad de México, Mexico

Ing. Alfonso Castro Orihuela

Cal y Mayor y Asociados S.C

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Zona Metropolitana de la Ciudad de Mexico (ZMVM)

MODEL OF THE METROPOLITAN AREA OF THE VALLEY OF MEXICO (MAVM)

Road Peñon - Texcoco

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THE PROJECT

Toll-road

Airport

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POSSIBLE TRAVELERS

Users that would use the highway, without toll.

assignment method used is “User equilibrium” implemented in EMME/2.

we use the whole network of the Metropolitan Area of the Valley of Mexico.

ijrijr TVP

usednotisroadif

usedisroadIfr

0

1

jibetweentravelersTotalT

rroadtheusethatjibetweenPossibleTravelersVP

ij

ijr

,

,

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ROUTE CHOICE

Calibrated functions of indirect utility for user's class, we have:

Where: i,j = Trips between zone from i to j, m= user´s class or type of vehicle.

Then, the choice model is:

mmij

mij

mij CTU

ctetollttP m

ijrmijr

mij

mijr

0exp1

1

.´,,

.´,

.´,

tan,

tan

0

msuserrpaththetakejibetweenTolltoll

msuserrpaththetakejibetweenprojectwithTimet

mclasssuserjibetweenprojectwithoutTimet

calibratedtsCons

dispertionoftCons

mijr

mijr

mij

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SENSITIVITY ANALYSIS

The “Toll”, we determine with an average value for every vehicle type of other similar highways.

We apply variations of the “Toll”, from 50% to 150%.

Again we make the potential travelers of the highway with the different values of “Toll”

mijrmijr

mijr VP.tollPD

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Assignment without poject.User Equilibrium, multiclass.

Calculate of matrix time and toll

Assignment with project.User Equilibrium, multiclass.

Calculate of matrix time and tollPossible travelers

Calculate of Random UtilityCalibrated parameters

Choice model

Travelers use the project

Variation of toll

GENERAL OUTLINE OF IMPLEMENTATION IN EMME/2

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ESTIMATE OF OPTIMUM TOLLDemand Toll Revenue

D1 0.5*Toll I1=D1*0.5*Toll

D2 0.6*Toll I2=D2*0.6*Toll

D3 0.7*Toll I3=D3*0.7*Toll

D4 0.8*Toll I4=D4*0.8*Toll

D5 0.9*Toll I5=D5*0.9*Toll

D6 1.0*Toll I6=D6*1.0*Toll

D7 1.1*Toll I7=D7*1.1*Toll

D8 1.2*Toll I8=D8*1.2*Toll

D9 1.3*Toll I9=D9*1.3*Toll

D10 1.4Toll I10=D10*1.4*Toll

D11 1.5*Toll I11=D11*1.5*Toll

mijrD m

ijrToll

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CONSTRUCTION OF THE FUNCTION OF OPTIMIZATION

Variation of Toll0.5*Toll 1.5*Toll

Var

iatio

n of

Rev

enue

I1

I11 Maximum revenue

adjusted curve

Good toll

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RESULTS OF ESTIMATE OF OPTIMUM TOLL

Revenue for Car

0

20

40

60

80

100

120

140

160

180

13 16 18 21 23 26 29 31 34 36 39

Toll $

Re

ve

nu

e $

*10

00

$ 26

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Revenue truck of 2 and 3 axle

0

5

10

15

20

25

30

21 25 29 34 38 42 46 50 55 59 63

Toll $

Re

ve

nu

e $

*10

0

$ 46.2

12

Revenue truck 4 and 5 axle

0

1

2

3

4

5

6

45 54 63 72 81 90 99 108 117 126 135

Toll $

Re

ve

nu

e $

*10

0

$ 72

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TDPA in several projects in operation (2003)

y = 0.9899x

R2 = 0.8946

0

1,000

2,000

3,000

4,000

5,000

6,000

7,000

8,000

9,000

10,000

0 1,000 2,000 3,000 4,000 5,000 6,000 7,000 8,000 9,000 10,000

TDPA Real

TD

PA

Est

imat

e

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CONCLUSIONS

This method is applied in Mexico and other countries.

It has acceptance for Public Sectors and Private, for toll-road operators and risk appraisers.

The forecast obtained in the different studies, have given very reliable results.

Method used intensively in urban networks