Methods, systems, and apparatus are provided to generate a Viterbi path for a DBN. The DBN is converted to a chain of junction trees, where each tree represents a decision-making process. The trees are forwardly iterated and the Viterbi path is generated during the forward iteration (forward pass). This is achieved by maintaining backpointers to previously processed junction trees during the forward pass and dynamically assembling the Viterbi with each pair of junction trees during the forward pass.