Nowadays networks are the basis of our communication providing a great number of services. As a consequence, the traffic is increasing and there is a growing demand for new services that require stringent constraints on capacity, latency and jitter to provide an appropriate Quality of Service (QoS) to end users. In order to cope with these requirements, network infrastructure needs to evolve from a static and closed architecture towards a more scalable, dynamic and agile one. Software-Defined Networking and Network Function Virtualization allow to provide different services, each one with its own QoS constraints, independent and secure, thanks to the network slicing concept, the main subject of this work. Network slicing allows to segment the underlying physical network into different logical networks to provide data transport customized to specific services. In this paper, we propose two mathematical models able to dynamically provision network slices on the physical network, complying with their QoS requirements for their instantiation and routing of traffic. The proposed models aim at minimizing a linear combination of probability of blocking traffic requests, energy consumption of physical network devices and interruption of service due to the reconfiguration of the slices. Taking advantage of traffic signatures from a city's mobile network, the goal is to predict how and when to reconfigure slices already deployed in the network with the aim to optimize the resource allocation in the underlying physical network.

如今，网络已成为我们提供大量服务的交流基础。结果，业务量在增加，并且对新服务的需求也在增长，这些新服务需要对容量，延迟和抖动进行严格限制，以向最终用户提供适当的服务质量（QoS）。为了满足这些要求，网络基础架构需要从静态和封闭式架构发展为更具可扩展性，动态性和敏捷性的架构。软件定义的网络和网络功能虚拟化允许提供不同的服务，每个服务都有其自己的QoS约束，独立且安全，这要归功于网络切片概念，这是这项工作的主要主题。网络切片允许将基础物理网络划分为不同的逻辑网络，以提供针对特定服务定制的数据传输。在本文中，我们提出了两个数学模型，它们能够在物理网络上动态配置网络切片，并符合其实例化和流量路由的QoS要求。提出的模型旨在最小化阻塞流量请求，物理网络设备的能耗以及由于切片的重新配置而导致的服务中断的概率的线性组合。利用城市移动网络的交通标志，目标是预测 遵守其QoS要求以进行流量的实例化和路由。提出的模型旨在最小化阻塞流量请求，物理网络设备的能耗以及由于切片的重新配置而导致的服务中断的概率的线性组合。利用城市移动网络的交通标志，目标是预测 遵守其QoS要求以进行流量的实例化和路由。提出的模型旨在最小化阻塞流量请求，物理网络设备的能耗以及由于切片的重新配置而导致的服务中断的概率的线性组合。利用城市移动网络的交通标志，目标是预测如何以及何时重新配置网络中已经部署的切片，以优化基础物理网络中的资源分配。