A critical look at power law modelling of the Internet

This paper takes a critical look at the usefulness of power law models of the Internet. The twin focuses of the paper are Internet traffic and topology generation. The aim of the paper is twofold. Firstly it summarises the state of the art in power law modelling particularly giving attention to existing open research questions. Secondly it provides insight into the failings of such models and where progress needs to be made for power law research to feed through to actual improvements in network performance.Comment: To appear Computer Communication

A discrete-time Markov modulated queuing system with batched arrivals

This paper examines a discrete-time queuing system with applications to telecommunications traffic. The arrival process is a particular Markov modulated process which belongs to the class of discrete batched Markovian arrival processes. The server process is a single server deterministic queue. A closed form exact solution is given for the expected queue length and delay. A simple system of equations is given for the probability of the queue exceeding a given length.Comment: to appear Performance Evaluatio

Examining the Relationship Between Perfect Pitch, Auditory Processing Disorders, and Autism Spectrum Disorder

In this paper, I will examine the relationship between perfect pitch, auditory processing disorders, and autism spectrum disorders and how this potential relationship affects the music education of students living with these conditions. Thorough and analytical perspectives are presented on one or more of these diagnoses, providing the opportunity to make thoughtful and relevant connections to students inside and outside of the classroom. Dohn, Garza-Villareal, Heaton, and Vust (2012) and Jiang, Liu, Wan, and Jiang (2015) discuss their research on the heightened presence of autism traits in musicians with perfect pitch and the idea of pitch processing and intonation in terms of melodic contour in autistic speakers of tonal languages, respectively. In addition, the role of auditory processing in perfect pitch possessors is explored by McKetton and Schneider (2018) and in students with autism spectrum disorder by Remington and Fairnie (2017). Each of these perspectives provides the opportunity to make connections to the music educations of students living with these conditions