Michael Scheutzow

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We analyze the mean packet delay in an Ethernet passive optical network (EPON) with gated service. For an EPON with a single optical network unit (ONU), we derive i a closed form delay expression for reporting at the end of an upstream transmission, and ii a Markov chain-based approach requiring the numerical solution of a system of equations for reporting(More)
We investigate Optical Network Unit (ONU) grant scheduling techniques for multichannel Ethernet Passive Optical Networks (EPONs), such as Wavelength Division Multiplexed (WDM) EPONs. We take a scheduling theoretic approach to solving the grant scheduling problem. We introduce a two-layer structure of the scheduling problem and investigate techniques to be(More)
We present several results for the periods of periodic points of sup-norm nonexpansive maps. In particular, we show that the period of each periodic point of a sup-norm non-expansive map f : M → M , where M ⊂ R, is at most maxk 2 ( n k ) . This upper bound is smaller than 3 and improves the previously known bounds. Further, we consider a special class of(More)
Building on the Ethernet Passive Optical Network (EPON) and Gigabit PON (GPON) standards, Next-Generation (NG) PONs (i) provide increased data rates, split ratios, wavelengths counts, and fiber lengths, as well as (ii) allow for all-optical integration of access and metro networks. In this paper we provide a comprehensive probabilistic analysis of the(More)
Passive optical networks (PONs) are currently evolving into next-generation PONs (NG-PONs) which aim at achieving higher data rates, wavelength channel counts, number of optical network units (ONUs), and extended coverage than their conventional counterparts. Due to the increased number of stages and ONUs, NG-PONs face significant challenges to provide the(More)
Research on multicasting in single-hop wavelengthdivision-multiplexing (WDM) networks has so far focused on networks based on the passive star coupler (PSC), a broadcast device. It has been shown that the multicasting performance is improved by partitioning multicast transmissions into multiple multicast copies. However, the channel bottleneck of the PSC,(More)
There are many Markov chains on infinite dimensional spaces whose one-step transition kernels are mutually singular when starting from different initial conditions. We give results which prove unique ergodicity under minimal assumptions on one hand and the existence of a spectral gap under conditions reminiscent of Harris’ theorem. The first uses the(More)
Packet-switched unidirectional and bidirectional ring wavelength division multiplexing (WDM) networks with destination stripping provide an increased capacity due to spatial wavelength reuse. Besides unicast traffic, future destination stripping ring WDM networks also need to support multicast traffic efficiently. This article examines the largest(More)
Due to the geographic distribution of its subscribers, Ethernet Passive Optical Networks (EPONs) have typically varying propagation delays between the Optical Network Units (ONUs) and the Optical Line Terminal (OLT). In this paper, we consider EPONs with an offline scheduling framework, which enables Quality-of-Service mechanisms by collecting bandwidth(More)