In this paper, we analyze a traffic control schemes at the interworking unit(IWU) of the IEEE 802.6 DQDB MAN and the B-ISDN, and estimate its performance via computer simulation. We also study traffic management, relaying sublayers for the cases of four service classes defined in the B-ISDN. As for performance criteria, we consider slot waiting time, slot loss rate, and the fairness between DQDB nodes in access networks. We propose a simple control algorithm that decreases the waitint delay at the OWU. With the buffer size of 40 [slots] at the IWU, we have found that the slot loss rate was nearly zero at traffic load below 0.9, and the slot waiting time became less than 15 slot times.