Peter Taylor

Strategic customer behavior in an M/M/1 feedback queue

Mark Fackrell, Peter Taylor, Jiesen Wang

Journal article  |  2021  |  Queueing Systems

Safe Blues: The case for virtual safe virus spread in the long-term fight against epidemics.

Raj Dandekar, Shane G Henderson, Hermanus M Jansen, Joshua McDonald, Sarat Moka, Yoni Nazarathy, Christopher Rackauckas, Peter G Taylor, Aapeli Vuorinen

Journal article  |  2021  |  Patterns

Viral spread is a complicated function of biological properties, the environment, preventative measures such as sanitation and mas..

Antibody Dynamics for Plasmodium vivax Malaria: A Mathematical Model.

Somya Mehra, James M McCaw, Mark B Flegg, Peter G Taylor, Jennifer A Flegg

Journal article  |  2021  |  Bulletin of Mathematical Biology

Malaria is a mosquito-borne disease that, despite intensive control and mitigation initiatives, continues to pose an enormous publ..

Resource competition in virtual network embedding

Jing Fu, Bill Moran, Peter G Taylor, Chenchen Xing

Journal article  |  2020  |  Stochastic Models

We consider a virtual network (VN) embedding problem on a large-scale substrate physical network. We permit varying capacities and..

Modeling and analysis of block arrival times in the Bitcoin blockchain

R Bowden, HP Keeler, AE Krzesinski, PG Taylor

Journal article  |  2020  |  Stochastic Models

In the original Bitcoin paper and other research papers since, it is assumed that Bitcoin blocks are mined at the instants of a ho..

A paradox for expected hitting times

M Holmes, PG Taylor

Journal article  |  2020  |  Stochastic Models

We prove a counterintuitive result concerning the expected hitting/absorption time for a class of Markov chains. The “paradox” alr..

An Activation-Clearance Model for Plasmodium vivax Malaria

Somya Mehra, James M McCaw, Mark B Flegg, Peter G Taylor, Jennifer A Flegg

Journal article  |  2020  |  Bulletin of Mathematical Biology

Malaria is an infectious disease with an immense global health burden. Plasmodium vivax is the most geographically widespread spec..

The value of communication and cooperation when servers are strategic

M Fackrell, C Li, PG Taylor, J Wang

Journal article  |  2019  |  ANZIAM Journal

In 2015, Guglielmi and Badia discussed optimal strategies in a particular type of service system with two strategic servers. In th..

Networks of interacting stochastic fluid models with infinite and finite buffers

Nikki Sonenberg, Peter G Taylor

Journal article  |  2019  |  Queueing Systems

Stochastic fluid models have been widely used to model the level of a resource that changes over time, where the rate of variation..

The time-dependent expected reward and deviation matrix of a finite QBD process

Sarah Dendievel, Sophie Hautphenne, Guy Latouche, Peter G Taylor

Journal article  |  2019  |  Linear Algebra and Its Applications

Deriving the time-dependent expected reward function associated with a continuous-time Markov chain involves the computation of it..