  This paper presents Multi-Amdahl, a resource allocation analytical tool for
heterogeneous systems. Our model includes multiple program execution segments,
where each one is accelerated by a specific hardware unit. The acceleration
speedup of the specific hardware unit is a function of a limited resource, such
as the unit area, power, or energy. Using the Lagrange theorem we discover the
optimal resource distribution between all specific units. We then illustrate
this general Multi-Amdahl technique using several examples of area and power
allocation among several cores and accelerators.
