According to one exemplary embodiment, a method for solving combinatorial optimization problems is provided. The method may include receiving a plurality of problem instance parameters associated with a graph. The method may also include determining a dynamic path change indicator exists. The method may then include initializing the graph based on the determining the dynamic path change indicator does not exist. The method may further include inserting a placeholder node and at least one placeholder node edge based on the determining the dynamic path change indicator exists. The method may also include reinitializing the graphiniti with the inserted place holder node and the at least one placeholder node edge. The method may then include initializing the reinitialized graph. The method may further include executing a hybrid algorithm on the initialized graph or on the reinitialized graph, wherein the hybrid algorithm comprises an ant colony optimization algorithm and a genetic algorithm.