On the Use of Balking for Estimation of the Blocking Probability for OBS Routers with FDL Lines

Abstract

Esta es la versión de autor de la comunicación de congreso publicada en: This is an author produced version of a paper published in: Abstract. This paper deals with estimation of blocking probabilities for OBS switches with Fiber Delay Lines (FDLs) and full wavelength conversion. An incoming burst that finds the wavelengths occupied is temporarily stored in a FDL. Hence, contention will be sorted out successfully if the residual life of the system is smaller than the maximum FDL delay. In order to derive the blocking probability, the most accurate methodology to date is the use of balking systems [1][2][3][4]. Even though the approach is accurate for very short lengths of the FDLs we identify the cases in which inaccuracy is detected. This happens precisely when the system works with low loss probabilities. Mainly for large number of wavelengths on the fibers and values of the FDL length at least in the vicinity of the burst service time.

Performance Issues in Optical Burst/Packet Switching

“…7.3(a). Results in [72] show that the discrepancy between analytical and empirical results become more significant as the loss probability is decreased. Hence, the model becomes less accurate for realistic systems of WDM technology, with a higher output degree (number of wavelengths) and lower losses.…”

“…On [72] we describe simulations performed to check the model on scenarios of 10 Gbps wavelengths in number c from 8 to 128. The burst average size was set to 15 kBytes, which is the average file size in the Internet as reported by [27], yielding a transmission time E[X] = 12.288 μs.…”

On modeling optical burst switching networks with fiber delay lines: A novel approach

“…The balking system lends itself as a good model for analyzing OBS switches with FDLs [20]. Thus, we present a reneging-based model for an output interface which is balking in nature.…”

Performance Analysis of OBS Edge Nodes for Video Streaming

“…On [7] burst loss rate vs input load is analyzed by performing simulation for different burst schedulers but no buffer is assumed either. Others such as [8] address blocking probability using M/M/k/k queue model in a scenario where OBS core nodes have fiber delay lines (FDL).…”