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P-0#4$
External Total
Internet Traffic for
Test
Initial Bandwidth Usage
Used
International
Bandwidth
Switch for
Constant Internet
Traffic for Test
R1
External Fractional
Capacity Lit for Test
-
+
Fractional Utilized
(Lit) Capacity
Fractional Unutilized
(Unlit) Capacity
Investment through
Commercial Interests
+
+
Fractional Loss of
Utilized Capacity
R2
<Undersea Cable
Total Capacity>
Duration of
Disruption
Available Undersea
Cable Capacity
Additional Fractional
Unutilized (Unlit)
Capacity Required
Additional Total
Unutilized (Unlit)
Capacity Required
Technology
Investment Yield
Rate
+
+
+
Percentage Monthly Change
in Internet Traffic due to
Current Internet Activities
Disruption Start
Time
Simulated
Disruption
+
+
Technological Growth
Switch for External
Fractional Capacity
Utilization for Test
Desired Fractional
Unutilized (Unlit)
Capacity
Rate of Increase in
Utilized International
Bandwidth
Undersea
Cable Total
Capacity
Initial Total Capacity
of Undersea Cables
Time to Install Unit
Undersea Cable
Unit Technology
Investment Yield
+
Additional
Investment Requied
<Unit Technology
Investment Yield>
Undersea Cables
Investment Rate
+
+
Actual Investment in
Undersea Cables
Average Investment
in Undersea Cables
Normail Time to
Invest in Undersea
Cable
-
Investment in
Undersea
Cables
Initial Investment in
Undersea Cable
B1
Time to Invest in Balancing Environmental
Undersea
Cables
Interests and Other
+
Liabilities
Stakeholders in
+
Undersea Cable
Governance
Effect of Number of
Stakeholders on Time to
Decide
Switch for Making
Stakeholders
Endogenous
Average Undersea
Cable Investment per
Stakeholder
Rate of Data Loss=
Rate of Increase in Utilized International Bandwidth * (1 Simulated Disruption)
~
Tbps/Month
~
Rate of data loss.
|
Total Impact of Disruption= INTEG (
Rate of Data Loss,
0)
~
Tbps
~
Total data loss due to disruption
|
Actual Investment in Undersea Cables=
Average Investment in Undersea Cables + Additional Investment
Requied
~
Dollar
~
Currently set to be the same as Actual Investment
|
Technology Investment Yield Rate=
!
MJ!
Investment in Undersea Cables * Unit Technology Investment Yield
/ Time to Install Unit Undersea Cable
~
Tbps/Month
~
Total Undersea Cable Capacity Acquired Per Month
|
Months per Year=
12
~
Month/Year
~
|
Available Undersea Cable Capacity=
Undersea Cable Total Capacity * Simulated Disruption
~
Tbps
~
Available capacity given disruptions.
|
Average Investment in Undersea Cables=
1.2e+09
~
Dollar
~
Exogenous Investment in Underseacable
|
Average Undersea Cable Investment per Stakeholder=
4e+13
~
Dollar/Stakeholder
~
Average spending that generates an additional stakeholder
|
Base Year=
1990
~
~
|
Year
Year of Starting the Simulation
Switch for Constant Internet Traffic for Test=
0
~
Dmnl [0,1,1]
~
When set to 1, a constant external Internet traffic is used.
|
Disruption Start Time=
120
~
Month
~
When does the disruption begin. Currently initialized to
year 10 (month \
120).
|
Duration of Disruption=
6
~
Month
~
Duration of Disruption at year 10.
|
Initial Total Capacity of Undersea Cables=
0.029
~
Tbps
!
b]!
~
|
10 times the 1990 Traffic, given that 90% is unlit capacity
External Fractional Capacity Lit for Test=
0.8
~
Dmnl [0,1]
~
External Capacity Utilization for testing
|
External Total Internet Traffic for Test=
20
~
Tbps
~
External Traffic, currently set to the global Internet
traffic in 2010.
|
Additional Investment Requied=
"Additional Total Unutilized (Unlit) Capacity Required"/Unit
Technology Investment Yield
~
Dollar
~
Total additional investment required
|
Fractional Loss of Utilized Capacity=
0
~
Dmnl
~
Fraction of Utilized Capacity Lost due to Disruption.
Initialized to 0, so \
no disruptions in the normail case.
|
"Fractional Unutilized (Unlit) Capacity"=
1 - (Switch for External Fractional Capacity Utilization for Test
* External Fractional Capacity Lit for Test\
+ (1 - Switch for External Fractional Capacity Utilization
for Test) * "Fractional Utilized (Lit) Capacity"\
)
~
Dmnl
~
What fraction of undersea cable capacity is unutilized
|
"Fractional Utilized (Lit) Capacity"=
MIN (1, ((Switch for Constant Internet Traffic for Test *
External Total Internet Traffic for Test
+ (1 - Switch for Constant Internet Traffic for Test) * Used
International Bandwidth\
)/Available Undersea Cable Capacity))
~
Dmnl
~
What fraction of Undersea Cable Capacity is Utilized
|
Initial Bandwidth Usage=
0.00029
~
Tbps
~
|
Initial Investment in Undersea Cable=
1.2e+08
!
b"!
~
~
|
Dollar
Total Investment in Undersea Cable in 1990
Switch for Making Stakeholders Endogenous=
0
~
Dmnl [0,1,1]
~
When set to 1, Number of Stakeholders impact the decision
process
|
Simulated Disruption=
1 - Fractional Loss of Utilized Capacity * PULSE( Disruption
Start Time , Duration of Disruption\
)
~
Dmnl
~
Disruption that leads to capacity loss. 1 indicates no
disruption (all of \
the capacity is available). Less than 1 indicates the
correspoing fraction \
of capacity lost.
|
Time to Install Unit Undersea Cable=
6
~
Month
~
1/3rd of the Average Installation Time
|
Time to Invest in Undersea Cables=
(1 - Switch for Making Stakeholders Endogenous) * Normail Time to
Invest in Undersea Cable\
+ Switch for Making Stakeholders Endogenous * Normail Time
to Invest in Undersea Cable\
* Effect of Number of Stakeholders on Time to
Decide(Stakeholders in Undersea Cable Governance
)
~
Month
~
Time to make investment decision
|
Switch for External Fractional Capacity Utilization for Test=
0
~
Dmnl [0,1,1]
~
When set to 1, external capacity utilization is used for
testing purposes.
|
Year=
Base Year + (Time/Months per Year)
~
Year
~
Current Year
|
Stakeholders in Undersea Cable Governance=
Investment in Undersea Cables/Average Undersea Cable Investment
per Stakeholder
~
Stakeholder [1,36,1]
!
bM!
~
|
Total Stakeholders in the Decision Process
"Additional Fractional Unutilized (Unlit) Capacity Required"=
MAX ( 0 , ("Desired Fractional Unutilized (Unlit) Capacity" "Fractional Unutilized (Unlit) Capacity"\
) )
~
Dmnl
~
When unutilized capacity is less than desired, use that
value to build \
additional capacity. When there is sufficient unutilized
capacity, do \
nothing.
|
"Additional Total Unutilized (Unlit) Capacity Required"=
"Additional Fractional Unutilized (Unlit) Capacity Required" *
Undersea Cable Total Capacity
~
Tbps
~
Build the required additional capacity
|
"Desired Fractional Unutilized (Unlit) Capacity"=
0.9
~
Dmnl
~
What fraction of Undersea Cable Capacity do those in
governance want to \
maintain as unutilized
|
Effect of Number of Stakeholders on Time to Decide(
[(0,0)(1000,20)],(0,1),(2,1.1),(4,2),(8,5),(18.3299,9.33333),(30.5499,10.6667
),(54.9898\
,12.4762),(100,14),(500,15),(1000,15))
~
Dmnl
~
Multiplier to normail time for decision as stakeholders
grow
|
Percentage Monthly Change in Internet Traffic due to Current Internet
Activities=
5.02
~
1/Month
~
Percentage monthly grwoth or decline in the Internet
Traffic Parameter for \
tuning the experimental exponential growth in Internet
Traffic.
|
Investment in Undersea Cables= INTEG (
Undersea Cables Investment Rate,
Initial Investment in Undersea Cable)
~
Dollar
~
Total investment in Undersea Cables
|
Normail Time to Invest in Undersea Cable=
!
bb!
6
~
Month
~
Normail time it takes to invest the required amount in
undersea cable
|
Rate of Increase in Utilized International Bandwidth=
Used International Bandwidth * Percentage Monthly Change in
Internet Traffic due to Current Internet Activities\
/100
~
Tbps/Month
~
Total monthly increase in Internet Traffic
|
Used International Bandwidth= INTEG (
Rate of Increase in Utilized International Bandwidth,
Initial Bandwidth Usage)
~
Tbps
~
Total Internet Traffic
|
Undersea Cable Total Capacity= INTEG (
Technology Investment Yield Rate,
Initial Total Capacity of Undersea Cables)
~
Tbps
~
Total Global Capacity of the Undersea Cable.
|
Undersea Cables Investment Rate=
Actual Investment in Undersea Cables/Time to Invest in Undersea
Cables
~
Dollar/Month
~
Average Investment in Undersea Cable per Month
|
Unit Technology Investment Yield=
9e-10
~
Tbps/Dollar
~
What capacity can be installed for a dollar
|
********************************************************
.Control
********************************************************~
Simulation Control Parameters
|
FINAL TIME
~
~
|
= 480
Month
The final time for the simulation.
INITIAL TIME = 0
~
Month
~
The initial time for the simulation.
|
SAVEPER
!
=
b^!
~
~
|
TIME STEP
Month [0,?]
The frequency with which output is stored.
TIME STEP
~
~
|
!
!
= 0.0625
Month [0,?]
The time step for the simulation.
!
bK!
!
!
!
!
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