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Undersea Cable Network. Capt Matthew Bohman & LCDR Charles Burton OA 4202 Network Flows & Graphs June 7, 2012. Network Overview. Physical structure Number of Cables Operations & Ownership. Network Capacity. Cable design capacity Lit capacity Capacity increases.
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Undersea Cable Network Capt Matthew Bohman & LCDR Charles Burton OA 4202 Network Flows & Graphs June 7, 2012
Network Overview • Physical structure • Number of Cables • Operations & Ownership
Network Capacity • Cable design capacity • Lit capacity • Capacity increases
ARCOS North Miami Beach, Florida Nassau, Bahamas Cat Island, Bahamas Crooked Island, Bahamas Turks & Caicos Islands Puerto Plata, Dominican Republic Punta Cana, Dominican Republic Isla Verde, Puerto Rico,
BDNSi Hawksbill, Bahamas Sandy Point, Bahamas Governors Harbor, Bahamas Nassau, Bahamas Fresh Creek, Bahamas Cat Island, Bahamas Cockburn Town, Bahamas George Town, Bahamas Port Nelson, Bahamas Clarence Town, Bahamas Crooked Island, Bahamas Mayaguana, Bahamas Duncan Town, Bahamas Matthew Town, Bahamas Port-au-Prince, Haiti
BICS Hawksbill, Bahamas Spanish River, Florida Boca Raton, Florida Sandy Point, Bahamas Current, Bahamas Caves Point, Bahamas
South America I (2001) Americas II (2006) BICS (2001) America Movil (2012) ARCOS (2001) BDNSi (2006)
Problem Statement • Examine connectivity • Caribbean Islands to Florida • Inter-Island Connectivity • Resiliency vs. threats • Natural disaster • Accidental disruptions • Terrorist attack • Additional Cables • Measure of Effectiveness • Number of disconnected islands
Model Choices • Nodes • Edges • Formulation ? • Shortest Path • Maximum Flow • Minimum Cost • Multi-commodity Flow
Multi-Commodity Flow Formulation • Every node has both production & demand • Has its own commodity “place name” • Has demand for all other commodities “other places” • Arcs are cables connecting islands • Two way flow • Cost = 1 unit per edge • Multi-Commodity Combines • Producer-Consumer • Minimum Cost Flow
Assumptions • If any physical connection is maintained • Insignificant delay • No monetary difference for users • Satellite communications – not modeled • Capacities • Traffic on arcs never exceeded • Equal demand for all vs. population driven
Scenario 1: Mainland Connectivity CockburnTownData: 1 FLORIDA Turks&CaicosData: 1 PuertoPlataData: 1 PuntaCanaData: 1 Etc… C=1, Y={0,1} CockburnTownData: -1 Turks&CaicosData: -1 PuertoPlataData: -1 PuntaCanaData: -1
GAMS Implementation arc_set attack_arcs_set GAMS arcs_data commodities Nodes_data arcs_commodity_data nodes
Mainland Connectivity Disconnected Islands Number of Attacks
Scenario 2: Inter-Island Connectivity GovernorsHarborData: -21 CockburnTownData: 1 GeorgeTownData: 1 Etc… C=1, Y={0,1} CockburnTownData: -21 GeorgeTownData: 1 GovernorsHarborData: 1 Etc… GeorgeTownData: -21 CockburnTownData: 1 GovernorsHarborData: 1 Etc…
Increasing Resiliency of Network • Summary of interdiction analysis • Two nodes can be disconnected with single attacks • Mainland and Inter-Island interdiction is identical • Nested solutions • Adding new cables • Majority of network is resilient to multiple attacks • Laying new cables is expensive • Focus on inexpensive fixes
New Lines - One Attack Placement of Additional Cables FLORIDA
Mainland Connectivity Interdicted Mainland Network Results with Added Cables
Resiliency with Added Cables Disconnected Islands Number of Attacks
Inter-Island Connectivity Interdicted Inter-Island Network Results with Added Cables
Inter-Island (Added Cables)- One Attack Original Added Cables
Inter-Island (Added Cables)- Two Attacks Original Added Cables
Inter-Island (Added Cables)- Three Attacks Original Added Cables
Summary • Multi-Commodity Flow • Caribbean network is robust • Recommend short additions to improve resiliency of isolated islands • Future modeling • Other regions • Global model • Time & cost estimates for satellite connections