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[Optimal Networks for Train

Integration Management across Europe]

Collaborative Project 7th Framework Programme

WP3 Development of robust and resilient tmetables

Rob M.P. Goverde

Delft University of Technology, The Netherlands

ON-TIME Final Event, Genoa, 28 October 2014

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Outline

WP3 Development of robust and resilient timetables

• Introduction

• Timetable performance indicators

• Timetabling approach

• Demonstration multilayer timetable

• Computation times

• Infrastructure occupation

• Quantitative evaluation

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Introduction

WP3

• Development of robust and resilient timetables

Innovation 2

• The development of improved methods for timetable construction that are robust to statistical variations and resilient to perturbations in operations

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Introduction

Time

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Introduction

Time

Distance

Time

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Performance indicators

Timetable trade-off between performance measures

• Short travel times

• Seamless connections • Realisability

• Conflict-freeness

• Stability: acceptable capacity occupation in corridors and stations • Robustness

• Resilience

• Residual capacity for freigh paths • Energy efficiency

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Timetabling approach

• Microscopic (track section level)

– Speed and running time computations incl. time supplements – Conflict detection using blocking times

– Infrastructure occupation & stability tests by compression method – Accuracy 1 s

• Macroscopic (network level)

– Network timetable optimization of travel, transfer and settling times – Stochastic robustness analysis using Monte Carlo simulation

– Timetable precision of 5 s minimizing capacity waste

• Fine-tuning (corridor level)

– Stochastic optimization of stops using dynamic programming – Energy-efficient speed profiles using optimal control

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Demonstration

Dutch case study

• Infrastructure and line plan 2012 • Two intersecting corridors

– Utrecht-Eindhoven and – Tilburg-Nijmegen

• Hourly timetable pattern with – 2 x 8 ICs per hr

– 2 x 10 local trains per hr – One freight path (Ut-Ehv)

– Many transfers in ‘s Hertogenbosch (and elsewhere)

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Demonstration

Model sizes

• Microscopic network

– 1500 nodes

• Block section level

– 1000 nodes • Macroscopic network – 16 nodes Ut Nm Gdm Ht Tb Btl Ot Vga O Mbrvo Tl Htnc Htn Wnn 3 4 1 4

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Fast freight path

Ut Utl Htn Cl Gdm Zbm Ht Vg Btl Bet EhbEhv

0 10 20 30 40 50 60

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Fast freight path

Ut Utl Htn Cl Gdm Zbm Ht Vg Btl Bet Ehv

0 5 10 15 20 25 30 35 40 45 50 55 60

Blocking time diagram for route of train line 3500

Distance [stations] T im e [ m in ]

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Multilayer timetable

Freight path

• 120 km/h

• 80 km/h

Ut Utl Htn Cl Gdm Zbm Ht Vg Btl Bet EhbEhv 0 10 20 30 40 50 60

Time-distance diagram for corridor Ut-Ehv

0 10 20 30 40 50

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Computation times

Iterations Mean time [s] Total [s]

Initial microscopic computations 1 35 35

Micro-macro iterations 1080

Macro (1000 macro iterations) 9 80

Micro computations 9 40

Finetuning* 215

Micro computations 1 5

Energy-efficient speed profiles 1 210

Total 1330

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Infrastructure occupation

10 20 30 40 50 60 Ut-Ht Ht-Ut Ehv-Ht Ht-Ehv Ht-Tb Tb-Ht Ht-Nm Nm-Ht Scenario 1 Scenario 2 Scenario 3

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Station infra occupation

0 10 20 30 40 50 60 Btl Ehv Gdm Ht Htn Mbrvo Nm O Ot Tb Ut Vga Scenario 1 Scenario 2 Scenario 3

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Quantitative evaluation

JT O-D Ref. Scenario 1 Scenario 2 Scenario 3 Mean journey

time [min]

Ut-Ehv 49.4 48.2 49.2 51.4 Ehv-Ut 50.5 50.5 50.5 50.5

Nm-Ht 30.2 32.5 32.5 32.5

CN O-C–D Ref. Scenario 1 Scenario 2 Scenario 3 Mean transfer

time [min] Ut-Ht–Tb 7.3 5.2 5.2 5.2

EG Reference Scenario 1 Scenario 2 Scenario 3

O-D kWh % kWh % kWh % kWh %

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Quantitative evaluation

RS

Station

Delay difference Baseline – Reference

Sum [s] Mean [s] Max [s]

‘s Hertogenbosch 874 35 116

Eindhoven 4482 102 331

Utrecht Centraal 8974 209 541

Tilburg 2292 54 255

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Conclusions

• Modular implementation of three-level timetabling approach • Standardized RailML files (Infrastructure, Rolling Stock,

Interlocking, Timetable)

• Output in standardized RailML Timetable file with scheduled train paths and speed profiles at section level

• Multilayer timetable with multispeed freight path catalogue • Classification of Timetabling Design Levels

– TDL 0: Low quality – TDL 1: Stable

– TDL 2: Conflict-free (and stable)

– TDL 3: Robust (and conflict-free and stable)

Cytaty

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