1. US Amtrak Network Major Josiah Pickett Captain Philip Zlatsin Lieutenant Brett Robblee 1

2. Background Intermodal Surface Transportation Efficiency Act of 1991 (ITSEA) Demand for High-Speed Rail (HSR) in the US. Current Economy Emerging Market 2

3. Background New vision for High-speed Passenger Rail throughout the US. Federal Railroad Administration (FRA) launches the High-Speed Intercity Passenger Rail (HSIPR) Program POTUS Goals 3

4. Objectives Model the current network. Determine a development plan based on budget (distance to improve) while minimizing the cumulative total time traveled. 4

5. Network Development Current Network Design Network 5

6. Current Network 6

7. Model 7

8. Input Data Nodes: Stations with annual ridership Edges: Existing rail lines between stations with distances. 8

9. Assumptions People choose the shortest path. No capacity issues. 9

10. Basic model New-York Chicago San-Francisco 50 hours 300 hours Miami 300 hours 200 hours 10

11. Basic model New-York Chicago San-Francisco 50 hours 300 hours Miami 300 hours 200 hours 1M go to NY 0.5M go to Miami 0.5M go to SF 1.5M come to Chicago (from other places) 2M want to Chicago 3M want to Miami 1M want to SF 5M come to NY (from other places) 11

12. Basic Model Multi-commodity min-cost flow. c i,j – time to get from station i to j. y i,j k – amount of people from type k (final destination) that go between i and j Objective function (MOP) – minimize the total amount of hours spent. 12

13. Basic model results Preferred routes Total amount of time spent on the train. But we are interested in the future! 13

14. Design model assumptions Speed on the new rail is 150 mph – (75 mph on regular rail) [1] New rails don’t change people’s behavior. Every old rail can be improved to a fast one. 14

15. Design model New-York Chicago 50 hours Miami 200 hours New- York’ Chicago’ Miami’ 100 hours 25 hours Sum distance of new arcs < X 15

16. y i’,j’ k – flow on new rail between i and j. x i’,j’ – should we build new rail between i and j? M – sufficiently large number Design Model formulation 16

17. Results Original Model: – Cumulative time riders spend per year on AMTRAK trains in our model sums to 44M hours, 5000 years. 17

18. 200 Mile Budget 18

19. 400 Mile Budget 19

20. 600 Mile Budget Plus LA to Irvine, CA 20

21. 800 Mile Budget 21

22. 1000 Mile Budget 22

23. 1200 Mile Budget 23

24. 1400 Mile Budget 24

25. 1600 Mile Budget 25

26. 1800 Mile Budget 26

27. 2000 Mile Budget 27

28. 2600 Mile Budget 28

29. 3000 Mile Budget 29

30. 3600 Mile Budget 30

31. 4000 Mile Budget 31

32. At 4000 miles, reduced to 58.5% of the of the original cumulative time. Approximately 2900 years Bos. ->D.C. ; Chi.-> Mil.; Greater LA NYC -> D.C. 70% 81% 58.5% 32 Bos. -> Mil.; Greater LA 64%

33. At 10,000 miles, reduced to 52.4% of the of the original cumulative time. Approximately 2600 years 33

34. Validation 34

35. 4,000 Mile Budget 35

36. 10,000 Mile Budget 36

37. Conclusions Up to a budget of 4000 miles – results match! 10,000 miles – results match with some differences. Possible reasons: – Partial Model (10% of the nodes) – Different objective functions – Assumptions 37

38. Future Research Better estimations: – Ridership Per station Between stations – Speed on different rails New optional rails and stations Will new rails change ridership? Other objective functions: – Accessibility – Cost – Effect on enviroment Nested design 38

39. Other Attempts Less successful models: – Max flow vs Multi Commodity – Not weighting distances – Interdiction – New rails – Constraints on number of arcs (instead of mileage) 39

40. Bibliography Government, U. (2008, 12, 15). High-Speed Rail Experience in the United States. http://www.amtrak.com/ccurl/16/785/Amtrak-High_Speed_Rail- A_National_Perspective.pdf. Government, U. (2012, 11 03). High-Speed Intercity Passenger Rail Program. Retrieved 11 18, 2013, from Federal Railroad Administration: http://www.fra.dot.gov/rpd/passenger/2243.shtml Nagasaki, H. (2012, 08 27). USA Rail Guide. Retrieved 11 18, 2012, from http://trainweb.org/usarail/index.html Wiki. (2012, 11 18). AMTRAK. Retrieved 11 18, 2012, from Wikipedia: http://en.wikipedia.org/wiki/Amtrak Wikipedia. (2012, 11 15). High-Speed Rail in the United States. Retrieved 11 18, 2012, from Wikipedia: http://en.wikipedia.org/wiki/High- speed_rail_in_the_United_States Wikipedia. (2012, 11 5). List of suburban and commuter rail systems. Retrieved 11 19, 2012, from Wikipedia: http://en.wikipedia.org/wiki/List_of_suburban_and_commuter_rail_systems 40