Post on 25-Feb-2016
description
AMTRAK NETWORK DESIGN
CDR Gary LazzaroLT Dustin Schultz
LT Forest MclaughlinOA 4202 Network Flows & Graphs, Fall 2013
Have you started vacation travel here?
• Why don’t people choose Amtrak for vacations?
The “Backstory” Young people don’t “think” Amtrak for vacations
Slow travel vs. planeHigh cost vs. carInefficient routing
Improve Amtrak for vacationsTop destinations are Disney World / LandWill new customers pick Amtrak if network is better?
Big Questions in this project Can Amtrak compete vs. cars or vs. planes?
Where to design improvements in network?
Do improvement costs need to be paid back?
What are benefits to a passenger?How much time can be saved?What must a ticket price be?
The Amtrak “Math Model” Objective 1: Minimize travel distance
Objective 2: Minimize amortized ticket cost
Both objectives subject to:Netflow(yij)
𝑥𝑖𝑗 ∈ሼ0,1ሽ ∀ (𝑖,𝑗) ∈𝐴 𝑥𝑖𝑗 ≤ 4𝑥
min𝑥 min𝑦 (𝑐𝑜𝑠𝑡𝑖𝑗 + 𝑛𝑒𝑤𝑐𝑜𝑠𝑡𝑖𝑗)𝑦𝑖𝑗𝑖,𝑗∈𝐸∪𝐴
Starting CitiesSEA – Seattle, WAOAK – Oakland, CALAX – Los Angeles, CAORD – Chicago, IL
DFW – Dallas, TXMCI –Kansas City, MOMSY – New Orleans, LAMCO – Orlando, FLJFK – New York, NY
Destination CitiesLAX – Los Angeles, CAMCO – Orlando, FL
LAX
MCO
OAK
SEA
ORD
MCI
DFW
MSY
JFK
New Tracks ModeledSt Louis, MO to Jacksonville, FL (Atlanta Line)Oklahoma City, OK to Kansas City, MO (OKKC Line)Albuquerque, NM to Dallas, TX (ABQ Line)New Orleans, LA to Jacksonville, FL (Sunset Limited)
OK
KC
STLATL
NO
JAXDFW
ABQ
Measures of Effectiveness
MOE 1: Travel TimeTrain Time Chicago to Orlando: 22 hrs 37 min (model)Car Time Chicago to Orlando: 17 hrs +hotel stay (web)
MOE 2: Ticket Price (Per Person)Train Cost Chicago to Orlando: $176.64 (model)Plane Cost Chicago to Orlando: $203.00 (web)
Operator’s Problem Operator is the Amtrak board of directors Should Operator improve network?
If yes: Which improvement is chosen?If no: Why not?
Which objective to choose?Minimize DistanceMinimize Cost
What is break-even ticket price?
Travel Time v. Design Option
Original OKKC ATL Sunset ABQ0
10
20
30
40
50
60
Time To Disney World
SEAOAKLAXORDJFKDFWMCIMSY
Track Options
Tim
e of
Trip
(Hou
rs)
Travel Time v. Design Option
SEA OAK LAX ORD JFK DFW MCI MSY0
10
20
30
40
50
60
Time To Disney World
OriginalOKKCATLSunsetABQ
Track Options
Tim
e of
Trip
(Hou
rs)
Travel Time v. Design Option
Original OKKC ATL Sunset ABQ0
10
20
30
40
50
60
Time To Disney Land
SEAOAKORDJFKDFWMCIMSYMCO
Track Options
Tim
e of
Trip
(Hou
rs)
Travel Time v. Design Option
SEA OAK ORD JFK DFW MCI MSY MCO0
10
20
30
40
50
60
Time To Disney Land
OriginalOKKCATLSunsetABQ
Track Options
Tim
e of
Trip
(Hou
rs)
Travel Cost v. Design Option
Original OKKC ATL Sunset ABQ0
50
100
150
200
250
300
350
400
450
Ticket Price To Disney World
SEAOAKLAXORDJFKDFWMCIMSY
Track Options
Sing
le P
asse
nger
Tic
ket P
rice
(Dol
lars
)
Travel Cost v. Design Option
SEA OAK LAX ORD JFK DFW MCI MSY0
50
100
150
200
250
300
350
400
450
Ticket Price To Disney World
OriginalOKKCATLSunsetABQ
Track Options
Tick
et P
rice
(Dol
lars
)
Travel Cost v. Design Option
Original OKKC ATL Sunset ABQ0
50
100
150
200
250
300
350
400
Ticket Price To Disney Land
SEAOAKORDJFKDFWMCIMSYMCO
Track Options
Sing
le P
asse
nger
Tic
ket P
rice
(Dol
lars
)
Travel Cost v. Design Option
SEA OAK ORD JFK DFW MCI MSY MCO0
50
100
150
200
250
300
350
400
Ticket Price To Disney Land
OriginalOKKCATLSunsetABQ
Track Options
Tick
et P
rice
(Dol
lars
)
Family Travel: Objective-Cost
SEA OAK LAX ORD JFK DFW MCI MSY0
200
400
600
800
1000
1200
1400
Family Trip Cost To Disney World
PlaneCarSunset
Origination City
2 Ad
ult,
2 Ch
ild T
rip C
ost (
Dol
lars
)
Family Travel: Objective-Cost
SEA OAK LAX ORD JFK DFW MCI MSY0
200
400
600
800
1000
1200
1400
Family Trip Cost To Disney World
PlaneCarTrain (Optimal)
Origination City
2 Ad
ult,
2 Ch
ild T
rip C
ost (
Dol
lars
)
Family Travel: Objective-Cost
SEA OAK ORD JFK DFW MCI MSY MCO0
200
400
600
800
1000
1200
Family Trip Cost To Disney Land
PlaneCarSunset
Origination City
2 Ad
ult,
2 Ch
ild T
rip C
ost (
Dol
lars
)
Family Travel: Objective-Cost
SEA OAK ORD JFK DFW MCI MSY MCO0
200
400
600
800
1000
1200
Family Trip Cost To Disney Land
PlaneCarTrain (Optimal)
Origination City
2 Ad
ult,
2 Ch
ild T
rip C
ost (
Dol
lars
)
Family Travel: Objective-Time
SEA OAK LAX ORD JFK DFW MCI MSY0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
Family Trip Time To Disney World
SunsetCarOriginal
Origination City
Trip
Tim
e (D
ays)
Family Travel: Objective-Time
SEA OAK LAX ORD JFK DFW MCI MSY0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
Family Trip Time To Disney World
SunsetCarOriginal
Origination City
Trip
Tim
e (D
ays)
Model Analysis / Discussion
Two potentially competing objectives New track cost only assessed when used
No fee for trains not using new tracks Train can be competitive with planes and cars One network design option is clearly the best
Limitations of Analysis More accurate trains speeds throughout US
Did not model high speed rail Exact rail distances / cost per train-mile Model every rail station to include delay times Accurate modeling of passenger loads
Population / Demand model according to regionLong vs. short distance passengers on same train
Increased number of start / destination cities
Questions?