  In the fermion loop formulation the contributions to the partition function
naturally separate into topological equivalence classes with a definite sign.
This separation forms the basis for an efficient fermion simulation algorithm
using a fluctuating open fermion string. It guarantees sufficient tunnelling
between the topological sectors, and hence provides a solution to the fermion
sign problem affecting systems with broken supersymmetry. Moreover, the
algorithm shows no critical slowing down even in the massless limit and can
hence handle the massless Goldstino mode emerging in the supersymmetry broken
phase. In this paper -- the third in a series of three -- we present the
details of the simulation algorithm and demonstrate its efficiency by means of
a few examples.
