Abstract
A trade of figure of merit () criterion accounts the best compromise between the useful input energy and the lost input energy of the heat devices. When the heat engine is working at maximum criterion its efficiency increases significantly from the efficiency at maximum power. We derive the general relations between the power, efficiency at maximum criterion and minimum dissipation for the linear irreversible heat engine. The efficiency at maximum criterion has the lower bound and it can reach up to , where is the maximum efficiency. Further, for time-reversal symmetric or anti-symmetric case our results show that the efficiency at maximum criterion is bounded by 3/4 of the Carnot efficiency when the minimum dissipation is zero.
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