Micro-channel heat sinks have been demonstrated to disperse heat at an extremely higher rate than the traditional devices because of huge heat transfer surface-to-volume ratio. This paper proposed to study the hydrothermal performance of hybrid combination of micro-channel heat sink (HMCHS) with secondary oblique channels in alternating directions and rectangular ribs. To enhance the heat transfer characteristics of the proposed hybrid model, we optimize three geometrical parameters such as secondary channel width, relative rib width and angle between the secondary channels. Primarily, numerical modeling is used to find the ranges of parameters by way of using the continuity, momentum and energy equations. Then the proposed model utilizes opposition-based antlion optimization (OALO) algorithm for selecting the optimal ranges of geometrical parameters to improve the system model. The optimal range will enhance the heat transfer characteristics of micro-channel and reduce the pressure drop when compared to the ones in the existing literature. Further, as a result of higher pressure drop, the micro-channel heat sink with secondary channels and ribs continuously loses its favorable position as an effective heat transfer enhancement technique at higher Reynolds number.