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Proportional fair queuing is to ensure that a flow passing through the network only consumes a fair share of the network resource that is proportional to its committed rate or other service level agreement (SLA). It is of great importance in Differentiated Services (DiffServ) networks as well as other price incentive network services. In this paper, we propose a simple core-stateless proportional fair queuing algorithm (CSPFQ) for the assured forward (AF) traffic in DiffServ networks. We first develop our algorithm based on a fluid model analysis and then extend it to a realizable packet level algorithm. We prove analytically and instantiate through simulations that our algorithm can achieve proportional fair bandwidth allocation among competing flows without requiring routers to estimate flows' fair share rates. Our simulation results also demonstrate that our algorithm outperforms the weighted core-stateless fair queuing (WC-SFQ) in terms of proportional fairness.