Considering a Cadre Augmented Army - RAND Corporation

-120- A Budgetary Analysis of Cadre
for four periods in the next period if it is not deployed. In order to formalize these
relationships, we must define the two types of variables: stock and flow. We define the stock
of units in any given period as S(f,c,i,t) where f represents force type (AC/RC), c represents
the status of a unit ([H]ome/[D]eployed), i represents how long a unit has been in the
current state, and t represents the time period. We define the flow of units as X(f,c,i,t). Using
these definitions, we can formalize the constraints on the movement of AC units.
Units Deployed for One Period
The number of units deployed for one period is equal to the sum of the number of
units deployed in that period. For the AC, this is defined as the number of cadre units
deployed in that period plus the number of AC units deployed (from at home and
deployed). 138 This is formalized as:
ACMaxD
∑
ACMaxH
S(AC,D,1,t) = CadreDep(t) + X(AC,D,i,t) + X(AC,H,i,t)
∑
i= 1 i=
1
For RC units, the stock of units deployed for one period is simply equal to the sum
of those deployed from at home (because the model assumes RC units can only be deployed
from home):
S(RC,D,1,t) =
RCMaxH
∑
i= 1
X(RC,H,i,t)
Units Deployed More than One Period
____________
138 Deployed cadre units can only be in one state defined as CadreDep for their initial deployment. After being
deployed for the first time, all cadre units are integrated into the AC force and deployed accordingly.