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Outfitting and Pre-positioning Theater Ballistic Missile Defense AEGIS Battle Groups to Meet an Exigent Threat of Attack Gerald Brown Kevin Wood Naval Postgraduate School

Outfitting and Pre-positioning Theater Ballistic Missile

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Page 1: Outfitting and Pre-positioning Theater Ballistic Missile

Outfitting and Pre-positioning Theater Ballistic Missile Defense AEGIS Battle Groups to Meet an

Exigent Threat of Attack

Gerald Brown

Kevin Wood

Naval Postgraduate School

Page 2: Outfitting and Pre-positioning Theater Ballistic Missile

The Problem

• Weapons of Mass Destruction:

• intercontinental ballistic missiles developed by rogue states

Page 3: Outfitting and Pre-positioning Theater Ballistic Missile

The Problem

• New threats from rogue states

Page 4: Outfitting and Pre-positioning Theater Ballistic Missile

A Solution

• Anti-Ballistic Missile Defenses

Page 5: Outfitting and Pre-positioning Theater Ballistic Missile

A Solution

• Anti-Ballistic Missile Defenses

• Multiple-tier defense

• Air Force, Army, and Navy programs

Page 6: Outfitting and Pre-positioning Theater Ballistic Missile

A Navy Solution

• AEGIS Ships re-fitted to carry and launch a variety of anti-missile missiles

Page 7: Outfitting and Pre-positioning Theater Ballistic Missile

A Navy Solution

• AEGIS can be pre-positioned advantageously

North Korea

South Korea

Page 8: Outfitting and Pre-positioning Theater Ballistic Missile

Aegis Platform

Page 9: Outfitting and Pre-positioning Theater Ballistic Missile

Aegis Platform

Page 10: Outfitting and Pre-positioning Theater Ballistic Missile

The Navy AEGIS Problem

• How do outfit and pre-position a limited number of AEGIS platforms to meet an exigent threat

Page 11: Outfitting and Pre-positioning Theater Ballistic Missile

The Navy AEGIS Problem

• We may have multiple AEGIS defenders

North Korea

South Korea

Page 12: Outfitting and Pre-positioning Theater Ballistic Missile
Page 13: Outfitting and Pre-positioning Theater Ballistic Missile

The Navy AEGIS Problem

• Intercept during boost phase is best

• Intercept during ascent phase is also feasible

• After this, other layers of defense take over

Page 14: Outfitting and Pre-positioning Theater Ballistic Missile
Page 15: Outfitting and Pre-positioning Theater Ballistic Missile

Analysis

• Engagement cycle is very short – a minute or two

• Geographic proximity is important

• Each AEGIS will carry just a few interceptors

• More than one interceptor variant may be carried

Page 16: Outfitting and Pre-positioning Theater Ballistic Missile

Analysis

• A rogue attack will likely be a single salvo

• The salvo will consist of just a few, or perhaps just a single ICBM

Page 17: Outfitting and Pre-positioning Theater Ballistic Missile

Analysis

• Source of attack salvo is a small geographic area

• Physics limits boost and and ascent phase track to threatened targets

Page 18: Outfitting and Pre-positioning Theater Ballistic Missile

Analysis

• Neither attacking ICBM’s, nor defending interceptors work perfectly

• The probability of a successful attack is a function of the attacking ICBM(s), what is attacked in the salvo, and the joint effect of interceptors launched

Page 19: Outfitting and Pre-positioning Theater Ballistic Missile

Analysis

• The probability of an attack succeeding despite a defense interception is not an independent function of each constituent event

• A reasonable, conservative assumption is that each AEGIS platform will control its own engagement

Page 20: Outfitting and Pre-positioning Theater Ballistic Missile

A Notional Decision Model

• The attacker wants to maximize expected target damage

• The defender wants to minimize expected target damage

Page 21: Outfitting and Pre-positioning Theater Ballistic Missile

A Notional Model

• We seek defense actions (an intercept) that minimizes the attacker’s maximum damage

• We assume that the attacker knows what we know - where we are, and what we’ll intercept with – and that the attacker will optimize his salvo with this knowledge

Page 22: Outfitting and Pre-positioning Theater Ballistic Missile

An Attack

• Consists of an ICBM launched at a vulnerable target with expected damage

• Multiple ICBM types allowed

• Each ICBM type limited in number

Page 23: Outfitting and Pre-positioning Theater Ballistic Missile

A Defensive Action

• Each ICBM intercept option involves a salvo of interceptors varying in number and type

• Each AEGIS platform may be pre-positioned at some defendable ocean station

• Each AEGIS platform may be outfitted with a variety of missile type loadouts

Page 24: Outfitting and Pre-positioning Theater Ballistic Missile

A Defensive Action

• ICBM intercept probability computed for entire salvo as a single event

• At most one option can be launched at each ICBM

• Simultaneous engagements by an AEGIS platform may be limited

Page 25: Outfitting and Pre-positioning Theater Ballistic Missile

An Optimization Model

|

|

max 1 (1 )

. . [ ]

1 [ ]

0

a

a

a

a

a t d d aY

a d D

a m ma m m

a ta t t

a

k v X Y

s t Y s m M

Y t T

Y a A

δ

α

β

=

=

− −

≤ ∀ ∈

≤ ∀ ∈ ≥ ∀ ∈

∑ ∑

Page 26: Outfitting and Pre-positioning Theater Ballistic Missile

A Defensive Action

• Where to place each AEGIS defender?

• How to outfit each AEGIS defender?

• Against an ICBM salvo, which AEGIS defender(s) should engage each ICBM?

Page 27: Outfitting and Pre-positioning Theater Ballistic Missile

An Optimizaton Model

|

|

max 1 (1 )

. . [ ]min

1 [ ]

0

a

a

a

a

a t d d aY

a d D

a m ma m mX

a ta t t

a

k v X Y

s t Y s m M

Y t T

Y a A

δ

α

β

=∈Χ

=

− −

≤ ∀ ∈

≤ ∀ ∈ ≥ ∀ ∈

∑ ∑

Page 28: Outfitting and Pre-positioning Theater Ballistic Missile

Restrictions on AEGIS Actions1

,

1

1

,

,

{0,1}

{0,1} ,

{0,1} ,

{0,1,2,...} ,

a

dd D

d dgg

dg gld

glg

gll

di dg igd

ig ig i

ig ig

d

gi

dg

ig

i

X a A

X R d D

R Z d D g G

Z l L

Z g G

n R F i I g G

X F SLACK fmax i I g G

F s i I

X d D

Z g G i I

R d D g G

F i I g G

fmax - f

≤ ∀ ∈

≤ ∀ ∈

≤ ∀ ∈ ∈

≤ ∀ ∈

≤ ∀ ∈

≤ ∀ ∈ ∈

∈ Χ = + = ∀ ∈ ∈

≤ ∀ ∈

∈ ∀ ∈∈ ∀ ∈ ∈

∈ ∀ ∈ ∈

∈ ∀ ∈ ∈

0 ,i igmin SLACK i I g G

≥ ≥ ∀ ∈ ∈

Page 29: Outfitting and Pre-positioning Theater Ballistic Missile

An Optimization Model

, ,

,

min

. .

1

0

0

{0,1}

a a a a

a

a

a

m m tX

m M t T

m t d a t d a td D

dd D

di d ia A d D

m

t

d

s

s t p k v X k v a A

X a A

n X b i I

m M

t T

X d D

α βα β

α β

αβ

∈Χ∈ ∈

∈ ∈

+

+ + ≥ ∀ ∈

≤ ∀ ∈

≤ ∀ ∈

≥ ∀ ∈≥ ∀ ∈

∈ ∀ ∈

∑ ∑

Page 30: Outfitting and Pre-positioning Theater Ballistic Missile

An Optimization Model

• We prefer Benders Decomposition– isolate the ICBM attack subproblem

– from our defensive action master problem

• This permits the defensive action to influence any feature in the attacker’s problem

Page 31: Outfitting and Pre-positioning Theater Ballistic Missile

Instance

• 8 ICBM’s in a single salvo

• 5 Aegis platforms

• 20 Candidate Ocean Stations

• 2 Interceptor types

• 25 Interceptors available

Page 32: Outfitting and Pre-positioning Theater Ballistic Missile

Conclusion

• Optimization offers a key tool to investigate what to develop, how to outfit, and where to deploy

• To defend from any ICBM attack scenario