With the wide deployment of intelligent network (IN) services, there is an urgent need to understand and solve teletraffic performance issues of the evolving network intelligence platform. This paper discusses a queuing system model for the performance analysis of IN call processing. The intelligent network is presented as a network of queues where the total number of customers (e.g., SSPs) is fixed, thus forming a closed queuing network. The IN distributed architecture is modeled as a finite source queuing model – M/G/1/K/K. The expected response time for that model is analyzed and computed. The numerical results and the corresponding curves are provided and, related to open questions, future work is summarized.