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A DiffServ network is capable of providing varying quality of service based on the policies defined for an aggregate. The traffic flows which form the aggregate get monitored. The flow packets which do not confine the policies get dropped. Such policy definitions are prefixed and they do not reflect the current internal state of the network. For this, it is proposed to make use of an endpoint admission control strategy. In such schemes admission decisions are usually based on packet drop rate and to some extent on inter-packet delay variation. In this paper we propose an admission decision scheme which extends the principles of estimation of blocking probability in a telecommunication network to the IP network. This scheme is then compared with the above two varieties of decision schemes. Such a comparison leads to a fact that by the use of the proposed scheme an effective utilization of the bottleneck link equivalent to inter-packet delay variation scheme can be achieved at a reduced overhead traffic. Whereas, packet drop rate based admission control results in far lower link utilization.