Analytical models of blocking probability for multi-granularity cross-connect-based optical networks

Zhao, Yisong; Zhang, J.; Han, Dahai; Zhang, X.; Yao, Yu; Gu, Wanyi; Ji, Yuefeng

doi:10.1049/iet-com.2008.0673

Cited by 5 publications

(3 citation statements)

References 16 publications

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“…Mathematical models have been proposed to compute ABPs in WDM networks considering link independence assumption and Poisson arrival process on each link. [17][18][19][20][21] A numerical formula is considered in References 12 and 22 to compute the node BP in WDM networks. Similarly, an Erlang B formula has been utilized in the optimization problem in Reference 23 to compute the number of wavelength channels required for lightpath requests for a given threshold value of BP.…”

Section: Introductionmentioning

confidence: 99%

“…Mathematical models have been proposed to compute ABPs in WDM networks considering link independence assumption and Poisson arrival process on each link 17‐21 . A numerical formula is considered in References 12 and 22 to compute the node BP in WDM networks.…”

Section: Introductionmentioning

confidence: 99%

“…These models are good for WDM network with the heavy traffic between s‐d pairs so that each link is highly loaded. The node BP is also considered in References 17 and 21 in the mathematical model to compute ABPs in WDM networks. These models, which are termed as existing analytical models (EAMs) in this paper, are simple and give good approximations.…”

Section: Introductionmentioning

confidence: 99%

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An advanced iterative model for computing approximated blocking probabilities and measuring the quality of service in optical communication networks

Khan

Ali

Imtiaz

et al. 2021

Micro & Optical Tech Letters

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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.

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