Mathematical modelling of metric-driven routing and resource allocation in wireless mesh networks

Yuan Li, M. Pióro, Vangelis Angelakis, D. Yuan, A. Fragkiadakis
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Abstract

The traditional routing protocols used in wireless mesh networks like AODV are not very efficient since the number of hops to a destination is mainly considered as the routing metric. This may lead to shorter paths; however, the throughput can decrease when traffic is routed through those paths. Various contributions have proposed different metrics or completely different routing algorithms. Nevertheless, for many of these metrics, real-time network performance monitoring is required, increasing their overhead, while the implementation of many of the proposed routing protocols is not feasible in practice because of their complexity. In this paper, we aim to optimize link metrics together with routing. We preserve the shortest path routing principle but with optimizing the link metrics; thus, combining the shortest path algorithm's low overhead with an optimized link metrics scheme. We present a two-phase scheme for the considered problem. During the first phase, we seek for the optimal link scheduling for minimizing the required time slots and then, in the second phase, we present a mixed integer programming model for metric-driven routing design. For comparison, we also present the optimization models for global optimized routing and shortest-hop routing, providing numerical results.
无线网状网络中度量驱动路由和资源分配的数学建模
在AODV等无线网状网络中使用的传统路由协议效率不高,因为到达目的地的跳数主要被视为路由度量。这可能导致更短的路径;但是,当流量通过这些路径路由时,吞吐量可能会降低。不同的贡献提出了不同的度量或完全不同的路由算法。然而,对于这些指标中的许多指标,需要实时网络性能监控,这增加了它们的开销,而由于它们的复杂性,许多所提出的路由协议的实现在实践中是不可行的。在本文中,我们的目标是与路由一起优化链路度量。我们保留了最短路径路由原则,但优化了链路度量;因此,将最短路径算法的低开销与优化的链路度量方案相结合。对于所考虑的问题,我们提出了一个两阶段方案。在第一阶段,我们寻求最小化所需时隙的最优链路调度,然后在第二阶段,我们提出了度量驱动路由设计的混合整数规划模型。为了进行比较,我们还给出了全局优化路由和最短跳路由的优化模型,并给出了数值结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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