One of the most important issues facing the post-Cold War U.S. defense esta
blishment concerns the future allocation of combat tasks and responsibiliti
es among different branches of the armed forces. The challenge is to reduce
unnecessary redundancy across roles and missions when resources are highly
constrained, without compromising military effectiveness. Defining the pol
icy problem as one of resource allocation rather than operational effective
ness, we develop a methodology for allocating roles and missions. Our metho
dology focuses at the highest level of force aggregation and uses a mathema
tical programming model to produce cross-service cross-mission trade-offs t
hat will yield the best total force combat and non-combat potential within
resource consumption constraints.