I suggest that you browse the main text books on the subject - that's a lot better than to rely on a small sample of recent research papers, as books may cover a wider variety of problem settings. For example, look at amazon.com for recent books on the subject, including reviews stating which ones might be better than others.
You can obtain exact Pareto solutions by means of this algorithm instead of approximated solutions. New versions of the algorithm called augmented epsilon constraint method is also available in the literature.
I' m totally agree with Hamed Farrokhi-Asi if the epsilon-constraint method is integrated with an exact mono-objective resolution. I add that if your problem is NP-hard, for large instance you must use a mono-objective approximation method (as meta-heuristics) combined with the epsilon-constraint strategy.
The disadvantages of epsilon-constraint method are difficulty in choice of perfect value for epsilon vector, none equality-spaced Pareto solutions and requiring a large number of iterations like weighting method.