  We present the details of the numerical realization of the recently advanced
algorithm developed to identify the fragmentation in heavy ion reactions. This
new algorithm is based on the Simulated Annealing method and is dubbed as
Simulated Annealing Clusterization Algorithm [SACA]. We discuss the different
parameters used in the Simulated Annealing method and present an economical set
of the parameters which is based on the extensive analysis carried out for the
central and peripheral collisions of Au-Au, Nb-Nb and Pb-Pb. These parameters
are crucial for the success of the algorithm. Our set of optimized parameters
gives the same results as the most conservative choice, but is very fast. We
also discuss the nucleon and fragment exchange processes which are very
important for the energy minimization and finally present the analysis of the
reaction dynamics using the new algorithm. This algorithm is can be applied
whenever one wants to identify which of a given number of constituents form
bound objects.
