1. The radial toll highway R-2: An application of stochastic assignment. Henning Stührmann, EPYPSA

2. Situation

3. Plano R-2 IMD TOTAL: 116.084 % PESADOS: 10,47 IMD TOTAL: 165.093 % PESADOS: 9,24 IMD TOTAL: 107.230 % PESADOS: 10,55 INTESIDAD MEDIA DIARIA: 14.354 INTESIDAD MEDIA DIARIA: 65.434 INTESIDAD MEDIA DIARIA: 74.842 INTESIDAD MEDIA DIARIA: 147.845 INTESIDAD MEDIA DIARIA: 132.385

4. 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

5. Counts

6. 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-PeakOff-PeakPM-PeakNight 12,15 4 AM-PeakOff-PeakPM-PeakNight 157,5157,5

7. Plano R-2

8. 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 arbitrarily 4.Two class assignment (Toll and No Toll) to get generalized cost and toll matrices (add. Options) 5.Apply modal split functions for all classes 6.Return to step 4, until convergence

9. Assignment: classes Differentiate Internal and external trips Internal trips: 3 socio-economic classes External trips: long-distance and mid-distance

10. 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

11. Assignment: Split functions (2)

12. 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

13. 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.

14. Average Daily Traffics

15. Future Development Split Functions Additional classes with different tariffs and split functions => Airport Access