部分波长转换全光网阻塞概率的近似计算

该文基于链路波长占用独立性假设，改进了Birman 在1996年提出的分析模型，提出了一种部分波长转换全光网在固定式路由和随机分配波长条件下阻塞性能的近似分析方法，该方法可以适用于任何网络拓扑，任何业务量分布模式条件下网络中任意链路上配置任意数目转换器情况的研究，扩大了Birman模型的适用范围，对于转换器均匀放置的网络，在业务均匀分布或者业务量信中在短跳路径的情况下，近似计算能够较好地与计算机仿真相吻合，对于业务量集中在长跳路径的情况或者转换器非均匀放置的网络，近似计算能够很好地跟随计算机仿真结果。

Computing Approximate Blocking Probabilities in All-Optical Networks with Partial Wavelength Conversion

This paper present an approximate universal analytical technique, based on link independent assumption, for the blocking performance analysis of all-optical networks with partial wavelength conversion, fixed routing and random wavelength assignment. It improves the analytical approach presented by Birman in 1996, which only fits for no wavelength conversion. The proposed technique can be applied to analyze all-optical networks with arbitrary wavelength conversion configuration. It can also be well applied to arbitrary network topology and uniform or non-uniform traffic. State of each link is looked as 2-dimensional Markov process. Based on steady-state probability of each link, first we derive the blocking probability of each path, and then reconstruct the Markov process. By such iteration, we will get final total blocking probability of the network. For every possible link state combination on the path, we divide that path into several segments according to the availability of wavelength converter at each link. Each segment may lead to blocking because of wavelength continuity constraint. First we compute blocking probabilities of each segment on the path, and then derive the blocking probability of the whole path based on link independent assumption. The numerical results obtained show that approximate calculation and simulation are well matched, and our analytical technique is stable and effective.