Most of the information streams are transmitted through the modern telecommunication networks with packet switching form multimedia traffic. User's requests arrive irregularly and cause ineffective channel utilization. The requests buffering for the real time flows is also proposed, i.e. rejected requests can be served later, when the requested bandwidth is available. This paper deals with a new analytic model of the real time traffic transmission requests service. This model shows how maximum requests queue size influences on the value of the channel utilization coefficient. The results of analytic modeling are verified with imitation modeling experiments. Key words: channel efficiency, channel utilization coefficient, requests buffering, analytic model.