question: Planning social tasks are essential jobs of every organization, business, and government. With increasing challenges of society, the organization and effective implementation depend on optimizing the plans of the organization and efficient operations of the professional teams in order, time, and specific requirements. In the context of the impact of the COVID-19 pandemic on social activities, developing strategies for the organization and operation of working teams in implementing disease prevention, control, and elimination are research issues that should be raised. This paper model the plan to organize and operate the social-mission working group problem with a multi-objective approach. The problem includes organizing and planning the health workforce to perform tasks in epidemic prevention and implementing guidelines of the Ministry of Health under the administration of the government. These pose a requirement to balance resources, medical equipment, and ancillary equipment to perform tasks according to different priority levels: disease prevention;vaccination;sterilization, isolation, treatment by different locations, and time to ensure effectiveness. The problem is modeled by approaching the multi-objective optimization with three objectives: makespan, performance efficiency, and rate of human resource usage. We also propose a guidance technique to improve the surrogate-assisted multi-objective optimization algorithms on analyzing the factors that influence finding solutions and maintain a balance between local exploration and global exploitation. The enhanced algorithms confirm the proposed model for social tasks against the COVID-19 pandemic.