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Traffic control algorithms can optimize network resources in deploying GMPLS networks. Connection admission control enables the network to admit connections that they can cater the QoS to. Future direction suggests direct GMPLS IP to Optical Wavelength Division Multiplexing (WDM) connections could provide faster provisioning of services, eliminating the electronic bottleneck currently imposed by the ATM or SDH infrastructure. This will save costs in terms of less delay and less electronics used. This paper describes a proposal on admission control based on fuzzy logic control for DiffServ-aware GMPLS Internet network. A simulation study was developed for admission control with preemption in the GMPLS environment.