Mark Fackrell

A stochastic model for the patient-bed assignment problem with random arrivals and departures

Mojtaba Heydar, Malgorzata M O'Reilly, Erin Trainer, Mark Fackrell, Peter G Taylor, Ali Tirdad

Journal article  |  2021  |  ANNALS OF OPERATIONS RESEARCH

We consider the patient-to-bed assignment problem that arises in hospitals. Both emergency patients who require hospital admission..

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

Mark Fackrell, Peter Taylor, Jiesen Wang

Journal article  |  2021  |  QUEUEING SYSTEMS

We investigate the behavior of equilibria in an M/M/1 feedback queue where price- and time-sensitive customers are homogeneous wit..

On the decision support model for the patient admission scheduling problem with random arrivals and departures: A solution approach

Aregawi K Abera, Malgorzata M O'Reilly, Mark Fackrell, Barbara R Holland, Mojtaba Heydar

Journal article  |  2020  |  STOCHASTIC MODELS

The focus of this work is the numerical application of a stochastic decision support model for the patient admission scheduling pr..

The value of communication and cooperation when servers are strategic

M Fackrell, C Li, PG Taylor, J Wang

Journal article  |  2019  |  Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal

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

A sequential stochastic mixed integer programming model for tactical master surgery scheduling

Ashwani Kumar, Alysson M Costa, Mark Fackrell, Peter G Taylor

Journal article  |  2018  |  European Journal of Operational Research

In this paper, we develop a stochastic mixed integer programming model to optimise the tactical master surgery schedule (MSS) in o..

Allocation in a Vertical Rotary Car Park

M Fackrell, P Taylor

Book Chapter  |  2017  |  International Series in Operations Research and Management Science

We consider a vertical rotary car park consisting of l levels with c parking spaces per level. Cars arrive at the car park accordi..

Modelling modal gating of ion channels with hierarchical Markov models

Ivo Siekmann, Mark Fackrell, Edmund J Crampin, Peter Taylor

Journal article  |  2016  |  Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Many ion channels spontaneously switch between different levels of activity. Although this behaviour known as modal gating has bee..

An EM algorithm for the model fitting of Markovian binary trees

Sophie Hautphenne, Mark Fackrell

Journal article  |  2014  |  COMPUTATIONAL STATISTICS & DATA ANALYSIS

Markovian binary trees form a class of continuous-time branching processes where the lifetime and reproduction epochs of individua..

A semi-infinite programming approach to identifying matrix-exponential distributions

Mark Fackrell

Journal article  |  2012  |  INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE

The Laplace-Stieltjes transform of a matrix-exponential (ME) distribution is a rational function where at least one of its poles o..

THE ALGEBRAIC DEGREE OF PHASE-TYPE DISTRIBUTIONS

Mark Fackrell, Qi-Ming He, Peter Taylor, Hanqin Zhang

Journal article  |  2010  |  JOURNAL OF APPLIED PROBABILITY

This paper is concerned with properties of the algebraic degree of the Laplace-Stieltjes transform of phase-type (PH) distribution..