Considering a Cadre Augmented Army - RAND Corporation

-97- A Budgetary Analysis of Cadre
We can simplify these equations by normalizing the mobilized cost of all units (r 1 =1).
The generic average cost of a unit from each force is shown in Table A.1.
Table A.1—Generic Unit Cost Equations
Force
AC (1)
Generic Average Unit Cost
c =
1
1
RC (2) α[ ]
Cadre (3) α[ ]
c = l + (1 − l ) * r + (1 − α) * r
2 2 2 2 2
c = l + (1 − l ) * r + (1 − α) * r
3 3 3 3 3
If we assume that the DoD will follow the rotation guidance as of 2007 then we can
simplify the cost equations above. Table A.2 shows the assumptions we made in the body of
this paper for each of the rotation and cost parameters.
Table A.2—Rotation and Cost Parameters
Parameter 1. AC (1:2) 2. RC (1:5) 3. Cadre (1:2)
h i 24 months 60 months 24 months
m i 12 months 12 months 12 months
d i 12 months 8 months (p i = 4 months) 12 months
l i 1/3 1/6 Variable
r i 1.00 0.28 0.20
The percentage of time that cadre units are mobilized in wartime (l 3 ) depends on the
number and readiness of cadre units. Under the readiness assumption made in the body of
this paper 116 we calculated the percentage of time that cadre units are mobilized in each
period of a war by multiplying the sum of the fraction of cadre units mobilized in each
period (f i ) 117 by one over the number of periods (N):
____________
116 We assumed a 36 month mobilization delay and a three BCT/year mobilization rate.
117 We calculated the fraction of cadre units mobilized in each period over the course of a ten year war by
dividing the number of cadre units at full personnel levels in each period by the total number of cadre units in
the force.