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This paper proposes a new Bandwidth Constraints Model for MPLS networks, called CAM (Courteous Allocation Model). CAM allocates added bandwidth to lower classes of traffic without affecting the high priority traffic. Simulations are performed to compare CAM with the two basic Constraints Models, namely, MAM (Maximum Allocation Model) and RDM (Russian Dolls Model). The results show that our model gives significant improvement in terms of delay, throughput and packets loss.