Existing analytical models (EAMs) are used to find the quality of service of optical networks with wavelength division multiplexing (WDM). However, the convergence of EAMs decreases with an increase in traffic load and the numbers of wavelength (w) channels. EAMs are used to compute approximated numerical values of blocking probabilities (BPs) which are based on an iterative approach. There are cases in EAMs when numerical BP values do not converge to a single point after numerous iterations. In this paper, the converge issues of EAMs have been addressed by considering a recursive approximation based on iterative approach with the convergence criteria which is called an advance approximated BP model (AABPM). The accuracy of the AABPM for WDM optical networks is examined by comparing with an EAM as well as simulation results which shows that AABPM converges to give similar approximated numerical values with less convergence time.

中文翻译：

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用于计算近似阻塞概率并测量光通信网络中服务质量的高级迭代模型

现有的分析模型（EAM）用于查找具有波分复用（WDM）的光网络的服务质量。但是，EAM的收敛随着业务量负载和波长（w）信道数量的增加而降低。EAM用于计算基于迭代方法的阻塞概率（BP）的近似数值。在EAM中，有时BP数值在多次迭代后不会收敛到单个点。在本文中，通过考虑基于迭代方法的递归逼近和收敛准则来解决EAM的收敛问题，该收敛准则被称为高级逼近BP模型（AABPM）。