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Dynamic Max-Min fairness in ring networks

机译:环网中的动态最大-最小公平性

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Ring networks are enjoying renewed interest as Storage Area Networks (SANs), i.e., networks for interconnecting storage devices (e.g., disk, disk arrays and tape drives) and storage data clients. This paper addresses the problem of fairness in ring networks with spatial reuse operating under dynamic traffic scenarios. To this end, in the first part of the paper the Max-Min fairness definition is extended to dynamic traffic scenarios and an algorithm for computing Max-Min fair rates in a dynamic environment is introduced. In the second part of the paper the extended Max-Min fairness definition is used as a measure to compare the performance in dynamic conditions of three fairness algorithms proposed for ring-based SANs. These algorithms are characterized by different fairness cycle sizes(number of links involved in each instance of the fairness algorithm), i.e., different complexity. The results show that the performance increases as the fairness cycle size decreases. In particular, the Global-cycle algorithm (implemented in the Serial Storage Architecture - SSA), whose cycle size is equal to the number N of links in the ring, exhibits the lowest performance, while the One-cycle algorithm, so called because of its cycle size equal to 1, has the best performance. The Variable-cycle algorithm, whose cycle size changes between 1 and N links, performs in between and provides the best tradeoff between performance and complexity.
机译:环形网络作为存储区域网络(SAN),即用于互连存储设备(例如磁盘,磁盘阵列和磁带驱动器)和存储数据客户端的网络,引起了人们的新兴趣。本文解决了在动态流量情况下运行空间复用的环形网络中的公平性问题。为此,在本文的第一部分中,将最大-最小公平性定义扩展到动态交通场景,并介绍了一种用于在动态环境中计算最大-最小公平率的算法。在本文的第二部分中,使用扩展的最大-最小公平性定义作为一种措施,用于比较针对基于环的SAN提出的三种公平性算法在动态条件下的性能。这些算法的特征在于不同的公平周期大小(公平算法的每个实例中涉及的链路数),即不同的复杂度。结果表明,性能随着公平周期大小的减小而提高。特别是,全局周期算法(在串行存储体系结构-SSA中实现)的循环大小等于环中链接数N,表现出最低的性能,而单周期算法之所以被称为是因为其周期大小等于1,具有最佳性能。可变周期算法的周期大小在1到N个链接之间变化,在两者之间执行并在性能和复杂性之间提供最佳折衷。

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