A distributed Client/Multi-Server system is developed, in which the multi-server system controlled the collaborative clients by the mechanism of collision arbitration. This is made to avoid collaborative clients to become completely dependent on the single server and to improve the stabilization and reliability of the server system. A mathematic model of multi-server system based on queuing theory is presented. The solution of mathematic model is analyzed, which includes the average utilization frequency of servers, the length of queuing and waiting time. The theory system, which is intuitionistie and convenient, is redounded to reflecting the dynamic data change of the system, reasonably organizing the system and optimizing the design methodology of the multi-server system.