Reduction of carbon emissions and greenhouse gases within the transportation sector is crucial due to its significant contribution to environmental degradation. To reduce this impact, it is important to develop and implement energy efficient systems. In addition to exploring renewable fuel alternatives, effective energy management systems are vital. This paper presents an optimization-based control referred to as Hierarchical Model Predictive Control along with a comparative framework, to evaluate its effectiveness as a real-time control strategy. Three energy management strategies are designed for this purpose, with the objective of minimizing the fuel consumption of a hybrid marine powertrain, while optimizing the power distribution among its components to achieve high operational efficiency.