Lower-Bound on Blocking Probability of a Class of Crosstalk-Free Optical Cross-Connects (OXCs)
Lower-Bound on Blocking Probability of a Class of Crosstalk-Free Optical Cross-Connects (OXCs)
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DOI：
10.1093/ietisy/e89-d.2.719
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发表时间：
2006-02
期刊：
影响因子：
--
通讯作者：
Chen Yu;Xiaohong Jiang;S. Horiguchi
中科院分区：
文献类型：
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作者：
Chen Yu;Xiaohong Jiang;S. Horiguchi
水平扩展和垂直堆叠相结合的光榕树（HVOB）是构建基于榕树的光交叉连接（OXC）的一般结构，光信号的固有串扰问题是设计OXC的主要限制。在本文中，我们分析了HVOB网络的阻塞行为，并开发了一个HVOB网络的阻塞概率的下限是自由的开关元件中的一阶串扰。建议的下限是显着的，因为它提供了一个有效的工具来估计最小的阻塞概率，他们可以期望从HVOB架构，无论采用什么样的路由策略。我们的下限可以准确地描述整体阻塞行为的最小阻塞概率在HVOB网络中，验证了广泛的模拟与随机路由和包装路由策略的网络模拟器。令人惊讶的是，模拟和理论结果表明，我们的下限可以用来有效地估计阻塞概率的HVOB网络应用包装策略。因此，我们的分析模型可以指导网络设计者找到之间的权衡平面（堆叠副本）的数量，SE的数量，阶段的数量和阻塞概率在HVOB网络应用包装策略。
A combination of horizontal expansion and vertical stacking of optical Banyan (HVOB) is the general architecture for building Banyan-based optical cross-connects (OXCs), and the intrinsic crosstalk problem of optical signals is a major constraint in designing OXCs. In this paper, we analyze the blocking behavior of HVOB networks and develop the lower bound on blocking probability of a HVOB network that is free of first-order crosstalk in switching elements. The proposed lower-bound is significant because it provides network designers an effective tool to estimate the minimum blocking probability they can expect from a HVOB architecture regardless what kind of routing strategy to be adopted. Our lower bound can accurately depict the overall blocking behavior in terms of the minimum blocking probability in a HVOB network, as verified by extensive simulation based on a network simulator with both random routing and packing routing strategies. Surprisingly, the simulated and theoretical results show that our lower bound can be used to efficiently estimate the blocking probability of HVOB networks applying packing strategy. Thus, our analytical model can guide network designers to find the tradeoff among the number of planes (stacked copies), the number of SEs, the number of stages and blocking probability in a HVOB network applying packing strategy.