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The Carnot-like heat engines are classified into three types (normal-, sub-and super-dissipative) according to relations between the minimum irreversibleentropy production in the "isothermal" processes and the time for completingthose processes. The efficiencies at maximum power of normal-, sub- andsuper-dissipative Carnot-like heat engines are proved to be bounded between$\eta_C/2$ and $\eta_C/(2-\eta_C)$, $\eta_C /2$ and $\eta_C$, 0 and$\eta_C/(2-\eta_C)$, respectively. These bounds are also shared by linear, sub-and super-linear irreversible Carnot-like engines [Tu and Wang, Europhys. Lett.98, 40001 (2012)] although the dissipative engines and the irreversible onesare inequivalent to each other.

Bounds of Efficiency at Maximum Power for Normal-, Sub- and Super-Dissipative Carnot-Like Heat Engines