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Network slicing is one of the main novelty of 5G systems and it is expected to radically change the approach of network operators to the support of vertical applications with specific and stringent performance requirements that can be managed by tenants. Static allocation of resources to slices is a straightforward approach to meet Service Level Agreements (SLAs), but it may lead to dramatic inefficiencies and high costs. On the other side, dynamic sharing can greatly improve resource utilization, but it requires a strict control of performance parameters so as to guarantee small congestion probability and smoothed degradation when it occurs. In this paper, we propose a utilitybased approach that can properly map the slice customization strategies that tenants can use to address the different traffic requirements and their specific service management policies. We define resource scheduling mechanisms that allow differentiation among slices and service prioritization through slice-specific parameters. We model resource allocation as a mathematical programming problem and present numerical results that show the viability of the proposed approach.

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