This paper establishes two kind of corresponding mathematical models using the queuing theory through the detailed analysis to the actual service queuing system,carries on the detailed analysis and the inferential reasoning in view of these two kind of mathematical models,obtains some formulas and the result of the queuing system customers has vacation.We can improve the queuing system of certain service industries in the real life using the conclusion of this paper,carries out the customer's vacation in queuing under the situation not improving the service system,raises the customer's time using rate,improves the customer's satisfactory extent to the system.