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Multi-Commodity Flow Multi-Commodity Flow

Multi-Commodity Flow - PowerPoint Presentation

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Uploaded On 2017-04-09

Multi-Commodity Flow - PPT Presentation

Joe Monahan Josh Onuska Back Story NS Largest rail shipper of automobiles Scope Exclusive deal with Ford 19 million sold in 2010 Facilities operating 24 hours 7 days East Coast distribution ID: 535605

mixing 000 5000 cost 000 mixing cost 5000 plants assembly interdiction miles facilities rail chicago distribution demand nodes car

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Slide1

Multi-Commodity Flow

Joe Monahan

Josh OnuskaSlide2

Back Story

N.S. - Largest rail shipper of automobilesScopeExclusive deal with Ford (1.9 million sold in 2010)Facilities operating 24 hours / 7 days East Coast distributionRisksTerrorism or warLabor union strikesSevere weatherDerailing / rail failureSlide3

Why Multi-Commodity?Slide4

Nodes and Arcs

Nodes5 assembly plants4 mixing centers25 distribution facilitiesArcs22,000 miles of rail30,000 Ford vehicles shipped weeklyCapacity is more than sufficient to handle demandSlide5

N.S. Rail SystemSlide6

Automotive Shipping FacilitiesSlide7

Assembly Plants & Mixing CentersSlide8

Assembly Plants

Location Supply Model Cleveland 5,000 Econoline Van

Chicago 5,000 Taurus, ExplorerDetroit 10,000 Mustang, F-150, Focus Kansas City 5,000 F-150, Escape, Contour Louisville 5,000 SuperDuty,Expedition,NavigatorSlide9

ContainerizationSlide10

Mixing Centers

Location Capacity RegionChicago 5938 NE/NWLouisville 3510 SE/EToledo 2800 NEKansas City 2538 NW/MWSlide11

Chicago Mixing CenterSlide12

Node OverlaySlide13

Node OverlaySlide14

Model

Multi-commodity: Sorted (5) / MixedSupply/Demand DrivenSupply = 30,000Demand = 30,00060,000 units in motionAccounts for 75% of Ford’s monthly U.S. salesNetwork RisksArcs unusableWeatherAccident

UnionsBridgesSlide15

Cleveland(Avon Lake)

ChicagoDetroit (Dearborn/Wayne)

LouisvilleKansas City

Toledo

Chicago

Louisville

Kansas City

Mixed Source

Mixed

Sink

Assembly Plants

Mixing Stations

Assembly Sinks

-30,000

30,000

-5000

-5000

-5000

-5000

-10000

D

C

L

K

A

5000

5000

5000

5000

10000Slide16

Network Characteristics

Network GoalMeeting demand at the minimum costDNM: Current vs Future Profit lossMeasure of effectiveness Average cost to deliver vehicle to distribution facilityMOE = Total Cost / # of cars shippedTotal Cost = (.25)(Rail Miles) + (DNM)($2700)Slide17

Assumptions

30,000 cars moved per week (From Mid-West Plants)20,000 to East Coast / 10,000 to West Coast$0.25 per rail mile for each car moved No cost incurred for movement between co-located facilitiesDNM results in lost salesSlide18

Assembly Plants & Mixing CentersSlide19

Assembly Plants to Mixing Facilities

Mixing Facility

Assembly PlantSlide20

Mixing Facilities to Distribution SitesSlide21

Initial Results

Base line – zero attacks:Total Mileage: 25,511,500 Rail milesTotal Cost: $6,377,875.00Cost per vehicle: $212.00Slide22

Results w/ Interdiction

1 Interdiction23,219,000 Miles; $11,204,750; $386.37/car5 Interdictions14,460,000 Miles; $49,515,000; $2,303.02/car10 Interdictions8,010,000 Miles; $88,402,500; $6,314.46/car17 Interdictions5,010,000 Miles; $139,600,500; $31,872.60/carSlide23

Impacts of InterdictionSlide24

Resiliency Curve

Cost over profit margin

Attack SaturationSlide25

Charts: Cost of Interdiction

Map of varying paths after each interdictionAnd/or histograms of cost at each interdictionSlide26

Resiliency

How do we make the system more robust and resistant to catastrophic collapse?Add arcs to isolated nodes Back up plan (trucks)Can we move nodes around (mixing stations or distribution points) to get a more efficient solution? Moving or even eliminating mixing stations improves performance.Slide27

Optimal Attack HistogramSlide28

Frequency of Attack LocationsSlide29

Additional Analysis

Option to eliminate one of the four mixing facilities:Bypassed Chicago$194,375 in weekly savingsSlide30

Analysis Limitations

Lots of assumptionsChanges in Consumer Demand by geographic locationSlide31

Conclusion

What did we learn from the model?Hub and spoke affectHow does the model react to interdiction?Greatest impact from interdiction seen in DNMCritical vulnerabilities?Isolated nodes, close proximity of Assm. PlantsHow can we improve the system to lower cost?Eliminate Mixing FacilityDiminishing returns after 17 attacksSlide32

Questions