Abstract: Subway plays an important role in urban transportation. However, owing to the outbreak of COVID-19, the operation of the subway has emerged multiple constraints, including disinfect, restrictions on passenger flow and travel independently. Staggered shifts have become an inevitable choice in subway operation in many cities. How to meet the basic travel needs of residents, provide transportation support for the smooth resumption of work and school, as well as reduce the risk of infection of passengers and the cost of tracking close contacts effectively has become the new goal of urban subway operation. Based on the analysis of the current subway operation status in Beijing and the travel patterns of residents, it is found that under the COVID-19 epidemic, there are three difficulties during the process of the subway operation: the contradiction between travel demand and subway carrying capacity, the resumption and epidemic prevention, the problem of too many passengers’ cross trips. In response to the question, a complex assignment model is built for resumption of work in multiple time periods and weekends. This assignment model not only achieves the goal of balancing the passenger flow during the rush hour, reducing the risk of epidemic transmission and the difficulty of tracing close contacts, but also can accomplish the complex assignment target of enterprises using subway to resume work and production by modifying the model objective function and constraints. The model proposed in this paper has strong application value in the complex periodic balance problem.

Key words: COVID-19 epidemic, balance of urban subway, multi objective programing, enterprise resumption and production, multi period resumption