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Network slicing provides a key functionality in emerging 5G networks, and offers flexibility in creating customized virtual networks and supporting different services on a common physical infrastructure. This capability critically relies on a MAC scheduler to deliver performance targets in terms of aggregate rates or resource shares for the various slices. A crucial challenge is to enforce such guarantees and performance isolation while allowing flexible sharing to avoid resource fragmentation and fully harness channel variations. In the present paper we propose a MAC scheduler which meets these objectives and preserves the basic structure of utility-based schedulers such as the Proportional Fair algorithm in terms of per-user scheduling metrics. Specifically, the proposed scheme involves counters tracking the aggregate rate or resource allocations for the various slices against pre-specified targets, and computes …