In real life, the input flow of discrete customers in queuing systems is getting closer to a continuous fluid. This paper proposed an M/ M/ 1 fluid queuing model with multiple vacation strategies using Nash equilibrium theory, which was based on the fact that individuals and management decision-makers do not leave the system in a long working busy period considering the benefits and system failures. When the fluid capacity in the system was empty, the system entered the holiday phase and the holiday period ended. If the fluid capacity in the system was still empty, the system entered the next holiday period and the fluid decided whether to join the system based on the level of information provided and the expected benefits. The queue threshold strategy and the optimal social strategy of the fluid were studied when the system service state and fluid length were known. On this basis, the situation where the system service state was not known was considered. It was found that whether the fluid system service status was informed or not, the expected fluid service time and social benefits in these two situations were different, but the optimal social strategies in these two situations were the same. Numerical experiments were used to analyze the optimal social gain under different scenarios and the effect of different system parameters on the optimal social gain. The equilibrium strategy analysis of a fluid queuing model with multiple vacation strategies provides a reference for individuals and policymakers to reduce resource depletion and achieve optimal social gain.