Implementing the branch-and-cut approach for a general purpose Benders’ decomposition framework

•The development of a general purpose framework for applying Benders’ decomposition.•Detailed discussion of the branch-and-cut approach for Benders’ decomposition.•Flexible framework for employing the Benders’ decomposition algorithm.•Automatic structure detection and application of Benders’ decomposition.•Comprehensive computational study of classical and novel enhancement techniques.