The performance of the DQRUMA MAC protocol for multimedia traffic in a realistic indoor environment using the guarantee bandwidth minimising delay (GBMD) scheduling policy is evaluated by simulations. The efficiency of the GBMD is compared to the corresponding with the FCFS with priorities and the RR with priorities. The analysis was carried out for a typical multicarrier modulation scheme (OFDM) with QPSK modulation on each carrier. The hidden Markov model (HMM) is used for modelling the physical layer of the system, while a type-II hybrid-ARQ protocol based on punctured RS codes is applied in the LLC layer. The performance of each ATM traffic service in terms of mean delay, cell loss rate (CLR), and the standard deviation, the 99.9 percentile, and pdf of the delay is presented.