Performance of fast routing algorithm for Vertically Stacked Optical Banyan networks with link failures and given crosstalk constraint

B. Sultana, M. Khandker
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Abstract

For faster connection establishment, previously proposed Pruned Vertically Stacked Optical Banyan (P-VSOB) networks used plane fixed routing (PFR) algorithm, and has O(log2N) routing complexity. Blocking probability has also been analyzed for these kinds of networks with given amount of crosstalk. In EP-VSOB networks, a few regular banyan planes are added with the PVSOB networks. Necessary routing algorithm, namely, PFR_LS and PFR_RS show that this switching network can reduce the blocking probability to very low value while keeping the hardware cost almost the same as that of PVSOB networks. Both these algorithm also have the time complexity O(log2N). This paper deals with the blocking behavior of EP-VSOB (Extended pruned VSOB) networks having link-failures and allows crosstalk constraint. Our simulation results show that crosstalk adds a new dimension to the performance analysis of practical EP-VSOB networks where some links are failed. The results show that if we allow some CSEs to the network then blocking probability decreases to low value for both PFR_LS and PFR_RS algorithm. The results also show that the blocking probability of the EP-VSOB networks does not always increase with the increase of link-failures; blocking probability decreases for certain range of link-failures, and then increases again.
具有链路失效和串扰约束的垂直堆叠光榕树网络的快速路由算法性能
为了更快地建立连接,先前提出的修剪垂直堆叠光榕树(P-VSOB)网络使用平面固定路由(PFR)算法,路由复杂度为0 (log2N)。本文还对具有一定串扰量的这类网络的阻塞概率进行了分析。在EP-VSOB网络中,在PVSOB网络中加入了一些规则的榕树平面。必要的路由算法,即PFR_LS和PFR_RS表明,该交换网络可以将阻塞概率降低到非常低的值,同时保持与PVSOB网络基本相同的硬件成本。这两种算法的时间复杂度都是O(log2N)。本文研究了具有链路故障且允许串扰约束的EP-VSOB (Extended pruned VSOB)网络的阻塞行为。仿真结果表明,在某些链路失效的EP-VSOB网络中,串扰为性能分析增加了一个新的维度。结果表明,当网络中存在一定的cse时,PFR_LS算法和PFR_RS算法的阻塞概率都降低到一个较低的值。结果还表明,EP-VSOB网络的阻塞概率并不总是随着链路故障的增加而增加;阻塞概率在链路故障一定范围内减小,然后再次增大。
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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