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Network flow monitoring provides critical information for many network applications, and several approaches have been proposed to address flow monitoring. However they either lack flexibility in adapting to ever-changing network traffic (e.g. NetFlow), or require intensive computing resources (e.g. ANF). In this paper, we propose a resource-efficient flow monitoring system (called REFMS), which consists of pre-sampling module, sample & hold module, and flow removal module. Our REFMS can improve sampling accuracy and effectively utilize measurement resource with multiple sampling algorithms.