 CDF of FP PDU inter-arrival time Self-similarity of the aggregated UTRAN traffic (Hurst Parameter) Two State MMPP Basic idea to study the delay distribution of a priority queue [HZ05] Validation of MMPP/D/1 model (voice scenario) Analytical models VS. simulation for lub bandwidth (voice scenario) Relative error of the analytical model (voice scenario) Analytical Models VS. Simulation (web traffic with BRA) Relative Error of the analytical model (web traffic with BRA) Analytical Model VS. Simulation (90% web with BRA +10% Voice) Packet arrival process (BMAP model) CDF of FP PDU inter-arrival time - single RAB scenario Measured user traffic (left) and customized BMAP (right) R/S statistic of the measured traffic (left) and customized BMAP (right) CDF of FP PDU Inter-arrival time - multiple RABs scenario BMAP/D/1 Queue in OPNET CDF of FP PDU Inter-arrival time (simulation VS. BMAP) Dimensioning for IP DiffServ-based QoS Structure Validation of M/G/R/N-PS Model - transfer delay Validation of M/G/R/N-PS Model - IP bandwidth Dimensioning of a single IP lub link Capacity VS. traffic load Bandwidth Efficiency: ATM VS. IP ATM VS. IP (without multiplexing) link bandwidth over traffic load ATM VS. IP: web scenario, RAB 128 kbps, no CAC, constant page size of 50 kbyte, target delay factor f=1.25 ATM VS. IP (capacity over traffic load): web scenario, RAB 64 kbps (left) and RAB 384 kbps (right), no CAC, page size =50 kbyte, target delay factor f =1.25 201 Dimensioning for circuit-switched traffic in a multi-lub RAN: with MD-Erlang model for the last mile and MMPP/D/1 model for the backbone link Dimensioning the backbone link for 1% packet loss ratio XVIII List of Figures Overbooking the backbone link System model for elastic traffic in the multi-lub RAN Delay estimations for case (1) with congested last mile link and ideal backbone Delay estimations for case (2) with ideal last mile link and congested backbone Delay estimations for case (3) with congested backbone and last mile links Dimensioning for elastic traffic in a mult