1. q/.r NSRZKLA4-P1 Timetable planning Leo Kroon Sept 9, 2003

2. q/.r NSRZKLA4-P2 Dutch railway quantities 1.000.000 passengers per workday 14.000.000.000 passenger kilometers per year 5000timetabled trains per workday 2800 kilometers of tracks 380stations 2650wagons 3000train drivers 4000conductors

3. q/.r NSRZKLA4-P3 Lines in the “Randstad”

4. q/.r NSRZKLA4-P4 0 50 40 10 20 30 60 Ut Hmla WdGd Cps Nwk Rta Rtn Rtd Vtn MdaGdg 21700 20500 14000 4000 2000 2800 2000 2800 8800 9700 0 50 40 10 20 30 60 2000 8800 500 1700 Hourly Pattern for the track Rotterdam - Utrecht 2800

5. q/.r NSRZKLA4-P5

6. q/.r NSRZKLA4-P6 Platform Occupation Chart for Utrecht Central

7. q/.r NSRZKLA4-P7 q/.r Mat’64 with 2 or 4 wagons Koploper with 3 or 4 wagons Double decker with 3, 4 or 6 wagons

8. q/.r NSRZKLA4-P8 1731 Rtd Ut Dv Amf Es 21731 1636 16401738 1734 1632 1730 2053321735205372173920541 529533 1735 537 1739 1731 1629 1727 16331735 1637 524 1726 528 1730 532 1734 Gvc Ut 1731 1735 537 1739 533 541 9:0010:0011:00 12:00 9:3010:3011:30 1636

9. q/.r NSRZKLA4-P9 Duties for drivers from depot Rotterdam (Rtd) Regular trip Passenger trip 565

10. q/.r NSRZKLA4-P10 NSR Dept. of Logistics Product Design: HP/POC Maintenance routing Allocation of train units Traffic 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 factory of plans mission: produce an efficient and feasible plan for each day

11. q/.r NSRZKLA4-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...

12. q/.r NSRZKLA4-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

13. q/.r NSRZKLA4-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....