NSRZ

KLA4

-P1

Timetable planningLeo Kroon Sept 9, 2003

NSRZ

KLA4

-P2

Dutch railway quantities1.000.000 passengers per workday14.000.000.000 passenger kilometers per year5000 timetabled trains per workday2800 kilometers of tracks380 stations

2650 wagons

3000 train drivers4000 conductors

NSRZ

KLA4

-P3

Lines in the “Randstad”

NSRZ

KLA4

-P4

050

40

10

20

30

60

UtHmlaWdGdCps NwkRtaRtnRtd VtnMda Gdg

21700

2050014000

4000

20002800

2000

2800

8800

9700

9700

0

50

40

10

20

30

60

2000

8800

500

1700

Hourly Pattern for the track Rotterdam - Utrecht

2800

NSRZ

KLA4

-P5

050

40

10

20

30

60

UtHmlaWdGdCps NwkRtaRtnRtd VtnMda Gdg

20500

21700

21700

20500

14000

4000

14000

4000

20002800

2000

2800

8800

8800

9700

9700

9700

9700

0

50

40

10

20

30

60

20002800

8800

2000

8800

500

1700

500

Basis Uur Patroon voor het baanvak Rotterdam - Utrecht

2800

NSRZ

KLA4

-P6

4a4b

5a5b

7a7b

8a8b

Zl

Ah

Zl

Ah

Zl

AhEhv Ehv

Zl

Ah

Ehv

Asd Asd

NmNmNmNm

Mt

Hdr Hdr

KolnRhn Rhn RhnRhn

Asd

Hlm Hlm

GvcGvc

Gvc GvcGn Es

0 504010 20 30 60

7500 75003500

5600

3500

2000 3000 2000 3000

500 900 1700

5900 5900100

0 504010 20 30 60

11a11b

12a12b

EhvNm Nm

HlmHlm

Mt

HdrHdr

Nm Nm

Gvc GvcGvc GvcGn EsRtd Rtd

1700500 20002000

3000800 3000900

RtdRtd

Rtd Rtd14000

Platform Occupation Chart

for

UtrechtCentral

NSRZ

KLA4

-P7

Mat’64 with 2 or 4 wagons

Koploper with 3 or 4 wagons

Double decker with 3, 4 or 6 wagons

NSRZ

KLA4

-P8

1731

Rtd

Ut

Dv

Amf

Es

21731

16361640

17381734

16321730

2053321735

2053721739

20541

529

533

1735

537

1739

17311629

17271633

17351637

524

1726 52

817

3053

217

34

Gvc

Ut

17311735

537 1739533 541

9:00 10:00 11:00 12:009:30 10:30 11:30

1636

NSRZ

KLA4

-P9

Duties for drivers from depot Rotterdam (Rtd)

Regular trip Passenger trip

565

NSRZ

KLA4

-P10

NSR Dept. of Logistics

Product Design: HP/POC

Maintenance routingAllocation of train unitsTraffic Control

Central Planning (Ut) Local Planning (Large stations)

Year Plan: Timetable Rolling stock plan Crew schedules

Day Plan: Timetable Rolling stock plan Crew schedules

Year Plan: Routes in stations Shunting mov. Crew schedules

Day Plan: Routes in station Shunting mov. Crew schedules

Operations

8

50

80

50

50

factory of plansmission: produce an efficient and feasible plan for each day

NSRZ

KLA4

-P11

What does the customer want?

• High quality service• Low tariff• Correct travel information

• Short travel times• No delays• High seating probability• High frequencies• Many direct connections• ...

NSRZ

KLA4

-P12

Conflicting objectives

Short travel times require:• high speeds

• few stops• many direct connections

• many guaranteed connections

– do not fit with high frequencies

– require long lines and many stops– long lines are bad for the punctuality

– are bad for the punctuality as well– inefficient utilization of the infrastructure

NSRZ

KLA4

-P13

Final remarks

• Timetables are evaluated along several dimensions• Hence the “optimal” timetable does not exist• Capacity of the infrastructure is a bottle-neck• Every advantage has a disadvantage • Currently, most plans are composed mainly manually• Planning can be supported by mathematical models• . . . .