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The request scheduler carrying out the QoS provisioning with service differentiation was analysed for the wavelength-routed OBS network architecture. QoS performance for two traffic classes was analysed in terms of the burst blocking probability and end-to-end delays and as a function of the constraint of core wavelength over-provisioning. The results show that the WROBS is capable of a very efficient QoS performance, whilst significantly minimising the core wavelength requirement with regards to the statically-routed networks. It is demonstrated that the QoS provisioning for the premium traffic does not trade off the blocking probability of the best-effort traffic. Moreover, even with no core wavelength over-provisioning in WROBS, the desired blocking probability can be achieved for both premium and best-effort traffic whilst the delay bounds for both classes are not exceeded. The reported results are directly applicable for the provisioning of the guaranteed IP services and for RWA optimisation.