This paper presents a comparative analysis of advanced methodologies designed to address the complex challenge of scheduling medical supplies in both the civilian and military sectors for epidemic prevention and control. This study introduces a multi-objective water wave (MOWWO) algorithm and enhances its performance through the integration of a dynamically adjusted component, referred to as DAMOWWO. The primary objective of this research is to evaluate the proposed approach in comparison with other established methods that share similar goals. The aim is to optimize multiple aspects simultaneously, including the overall satisfaction rates of medical supply delivery and the reduction of scheduling costs, while ensuring a minimum military supply reservation ratio. This study provides a comprehensive evaluation of the MOOW algorithm and highlights its potential applications in emergency response scenarios.