Upload
lucas-sharp
View
216
Download
0
Tags:
Embed Size (px)
Citation preview
The radial toll highway R-2: An application of stochastic
assignment.
Henning Stührmann, EPYPSA
madridemme/2002
Situation
madridemme/2002
Plano R-2
madridemme/2002
IMD TOTAL: 116.084% PESADOS: 10,47
IMD TOTAL: 165.093% PESADOS: 9,24
IMD TOTAL: 107.230% PESADOS: 10,55
INTESIDAD MEDIADIARIA: 14.354
INTESIDAD MEDIADIARIA: 65.434
INTESIDAD MEDIADIARIA: 74.842
INTESIDAD MEDIADIARIA: 147.845
INTESIDAD MEDIADIARIA: 132.385
Basic Model structure
• Based on Home based survey for the whole province of Madrid
• Models for car only, no mode split as PT infrastructure already well established in base year (1996)
• Three periods– Morning Peak 7-10– Off-Peak 6 to 7, 10-18 and 21 to 24– Afternoon Peak 18.00 - 21.00
• Calibration demandj with counts
madridemme/2002
Counts
madridemme/2002
Hourly Traffic on Workdays
0
1.000
2.000
3.000
4.000
5.000
6.000
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24Hour
km 12,15 to MADRID
km12,15 to ZARAGOZA
km 37,7 to ZARAGOZA
km 37,7 to MADRID
km 116 to ZARAGOZA
km 116 to ZARAGOZA
madridemme/2002
Toll System
• 10 Ptas/km as day mean• Analysis of first assignments and counts from N-II
=> two different highways => two toll systems
• Outer part closed system
• Inner part open system
AM-Peak Off-Peak PM-Peak Night
12,15 12,15 12,15 4
AM-Peak Off-Peak PM-Peak Night
15 7,5 15 7,5
Plano R-2
madridemme/2002
madridemme/2002
Outline of the Stochastic Assignment
1. Understand Toll – No Toll facilities as two different modes
2. Two sub-networks: Toll has access to all links, No Toll has NO access to toll facilities
3. Initialise Toll No-Toll Split arbitrarily4. Two class assignment (Toll and No Toll) to
get generalized cost and toll matrices (add. Options)
5. Apply modal split functions for all classes6. Return to step 4, until convergence
Assignment: classes
• Differentiate Internal and external trips• Internal trips: 3 socio-economic classes• External trips: long-distance and mid-distance
madridemme/2002
Assignment: Split functions (1)
• Kirchhoff type functions:
•
• Generalized Cost includes a component of function cost, assumed to be the same for all classes
• Different α for external and internal trips
anij
apij
a
C
CPpij
1
1
nijanij
aij
pijapij
GCC
VoT
PGCC
madridemme/2002
Assignment: Split functions (2)
madridemme/2002
Toll - No Toll Splitt Function
0
0,1
0,2
0,3
0,4
0,5
0,6
0,7
0,8
0,9
1
0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1 1,1 1,2 1,3 1,4 1,5 1,6 1,7 1,8 1,9 2
Percieved Cost: Toll/(No Toll)External Trips a=5
Internal Trips a=8
madridemme/2002
Assignment: Implementation
• Series of nested macros• Allows to easily change part of the procedure,
e.g. split functions, convergence or output• Convergence usually after 3 steps, 30 min per
time period and scenario
Assignment: Strengths and drawbacks
• Unlimited number of classes
• Easy to use different split functions for different classes
• Very difficult to implement different tolls at one toll both, you would need to assign an additional class.
madridemme/2002
Average Daily Traffics
madridemme/2002
Future Development
• Split Functions• Additional classes with different tariffs and
split functions => Airport Access
madridemme/2002