Multi-period heat exchanger network (HEN) retrofit is usually performed by targeting and matching heat transfer areas. In this paper

based on the reverse order matching method we proposed previously

three strategies of matching heat transfer areas are proposed to minimize the investment cost for the retrofit of HEN in multiperiod

in which replacement of heat exchangers

addition of heat exchangers and addition of heat transfer areas are performed. We demonstrate the procedures through three scenarios

including maximum number of substituted heat exchangers after retrofit

minimum additional heat transfer areas in the retrofitted HEN

and minimum investment cost for retrofit. The strategies are extended to a single period HEN retrofit problem. The results of multi-period and single period HEN retrofit problems indicate the effectiveness of the strategies. Moreover

these results are better than those reported in literature. The strategies are simple and easy to implement

which are of great benefit to large-scale HEN retrofit in practice.