Exact calculation of blocking probabilities for bufferless optical burst switched links with partial wavelength conversion

Abstract

In this paper, we study the

A Performance Study of Limited Range Partial Wavelength Conversion for Asynchronous Optical Packet/Burst Switching

“…We also adhere to the exponential packet length distributions which is common in the literature where the mean packet length is 1/µ. An exact numerical analysis procedure is proposed for the same problem for the case of FR-TWCs in [7]. However, a similar analysis does not seem to be plausible for the case of LRTWCs due to the way conversion ranges overlap.…”

“…1. The cost-effective SPL solution has its advantages of low-complexity switching matrix, significant performance and TWC saving gain compared to other alternatives, in addition to its amenability to exact stochastic analysis [7].…”

“…The goal of this paper is to study different simple-to-implement wavelength conversion policies for the case of LR-TWCs. On the other hand, we give an approximate analytical procedure based on [7] to give a lower bound on the packet blocking probability with an auxiliary model that captures part of the complex system dynamics. The outline of the paper is as follows.…”

Performance Analysis of an Optical Packet Switch Employing Full/Limited Range Share Per Node Wavelength Conversion

“…First, we use the idea of fixed point iterations of [7] but for the more realistic on-off traffic model (as opposed to Poisson models) for studying SPN type converter sharing using full range TWCs. While doing so, we benefit from the block tridiagonal structure of the generators that arise using a technique similar to one introduced in [6]. Secondly, we use a similar approximation as in [8] to deal with limited range conversion.…”

“…For SPL type converter sharing in asynchronous switching systems, the first exact algorithm is proposed in [6] that relies on the steady-state solution of a Markov chain and exploiting the block tridiagonal structure of the underlying infinitesimal generator. Recently, a similar CTMC-based analysis is proposed in [7] for the same system and an approximate analytical method is proposed for the SPN converter sharing case using fixed point iterations.…”