In recent years, production sites have required the integration of individual operations involving machinery, industrial robots, human, and transportation, as well as their coordination and collaboration. Consequently, production plans must be formulated under various conditions, encompassing these individual operations and their respective interactions. Traditionally, production planning was effectively addressed through separate plans, due to minimal coordination or collaboration between human operators and industrial robots. However, the feasibility of cooperative or collaborative work between humans and industrial robots is advancing, partly owing to the development of AI technology and sensor technology. Previous research has explored cooperative and collaborative work methods between humans, industrial robots, and other heterogeneous entities. In this study, industrial robots and humans are regarded as individual entities, and their cooperative and collaborative work in production planning is represented as individual networks. These individual networks replace the heterogeneity of industrial robots and humans with homogeneity, thereby allowing production planning to be considered as a unified model. Mathematical planning based on this concept will be employed to investigate a new methodology for production planning.