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arXiv 1702.01154cs.NI
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可证明有效的虚拟网络功能联合配置和分配算法

Provably Efficient Algorithms for Joint Placement and Allocation of Virtual Network Functions

Yu Sang, Bo Ji, Gagan R. Gupta, Xiaojiang Du, Lin Ye

摘要:

网络功能虚拟化(Network Function Virtualization,NFV)具有显著降低资本和运营费用、缩短产品发布周期、提高服务敏捷性的潜力。在本文中,我们专注于最小化虚拟网络功能(VNF)实例的总数,以向网络中的所有流提供特定服务(可能在不同位置)。某些网络安全和分析应用程序可以允许在不同节点(对应于数据中心)处对流进行部分处理,从而为资源的更大优化提供机会。通过从集合覆盖问题的简化,我们证明了这个问题是NP-困难的,并且甚至不能在(1 - o(1))ln(m)(其中m是流的数量)的因子内近似,除非P=NP。然后,我们设计了两个简单的贪心算法,并证明了它们的逼近比为(1 - o(1))ln(m)+ 2,这是渐近最优的。对于每个节点托管多个VNF实例的特殊情况(实际上通常是这样),我们还表明我们的贪心算法具有恒定的近似比。此外,树拓扑结构,我们开发了一个最佳的贪心算法,利用固有的拓扑结构。最后,我们进行了广泛的数值实验,以评估我们提出的算法在各种情况下的性能。

英文摘要:

Network Function Virtualization (NFV) has the potential to significantly reduce the capital and operating expenses, shorten product release cycle, and improve service agility. In this paper, we focus on minimizing the total number of Virtual Network Function (VNF) instances to provide a specific service (possibly at different locations) to all the flows in a network. Certain network security and analytics applications may allow fractional processing of a flow at different nodes (corresponding to datacenters), giving an opportunity for greater optimization of resources. Through a reduction from the set cover problem, we show that this problem is NP-hard and cannot even be approximated within a factor of (1 - o(1)) ln(m) (where m is the number of flows) unless P=NP. Then, we design two simple greedy algorithms and prove that they achieve an approximation ratio of (1 - o(1)) ln(m) + 2, which is asymptotically optimal. For special cases where each node hosts multiple VNF instances (which is typically true in practice), we also show that our greedy algorithms have a constant approximation ratio. Further, for tree topologies we develop an optimal greedy algorithm by exploiting the inherent topological structure. Finally, we conduct extensive numerical experiments to evaluate the performance of our proposed algorithms in various scenarios.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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