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Dr

Mark Fackrell

Senior Lecturer
Mathematics And Statistics
science & technology
mathematics
physical sciences
statistics & probability
technology
rational laplace-stieltjes transform
operations research & management science
phase-type distribution
social sciences
Mark Fackrell's Profile Picture
Dr

Mark Fackrell

 
Division
Science
 
Primary Interest
Stochastic Modelling
Mark Fackrell's Profile Picture
Dr

Mark Fackrell

 

Projects

Displaying the 4 most recent projects by Mark Fackrell.

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Modeling Healthcare Systems

An efficient healthcare system is essential for the well-being of any society. The aim of the project is to develop major advances in the ma..

2015 - 2020
Active
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Modeling Healthcare Systems

An efficient healthcare system is essential for the well-being of any society. The aim of the project is to develop major advances in the ma..

2015 - 2020
Active
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Advanced Matrix-Analytic Methods With Applications

Over the last twenty-five years, matrix-analytic methods have proved to be very successful in formulating and analysing certain classes of s..

2011 - 2015
Completed
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Characterization Of Phase-Type Distributions

4

Projects

Project Types

3

Research Grant

1

Internal Research Grant

Scholarly Works

Displaying the 19 most recent scholarly works by Mark Fackrell.

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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

Conference Proceedings  |  2020  |  Stochastic Models

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THE VALUE OF COMMUNICATION AND COOPERATION WHEN SERVERS ARE STRATEGIC

M Fackrell, C Li, PG Taylor, J Wang

Journal article  |  2019  |  The ANZIAM Journal

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

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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

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Allocation in a Vertical Rotary Car Park

M Fackrell, P Taylor

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

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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

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An EM algorithm for the model fitting of Markovian binary trees

Sophie Hautphenne, Mark Fackrell

Journal article  |  2014  |  Computational Statistics & Data Analysis

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

Mark Fackrell

Journal article  |  2012  |  International Journal of Systems Science

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THE ALGEBRAIC DEGREE OF PHASE-TYPE DISTRIBUTIONS

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

Journal article  |  2010  |  Journal of Applied Probability

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AN ALTERNATIVE CHARACTERIZATION FOR MATRIX EXPONENTIAL DISTRIBUTIONS

Mark Fackrell

Journal article  |  2009  |  Advances in Applied Probability

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Modelling healthcare systems with phase-type distributions

Mark Fackrell

Journal article  |  2009  |  Health Care Management Science

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Predicting overflow in an emergency department

L Au, GB Byrnes, CA Bain, M Fackrell, C Brand, DA Campbell, PG Taylor

Journal article  |  2009  |  IMA Journal of Management Mathematics

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Characterizing Coxian distributions of algebraic degree q and triangular order p

M Fackrell

Conference Proceedings  |  2008  |  Numerical Methods for Structured Markov Chains

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Characterization of matrix-exponential distributions

Nigel G Bean, Mark Fackrell, Peter Taylor

Journal article  |  2008  |  Stochastic Models

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Phase-type distributions in healthcare modelling III

MF Fackrell

Creative Published Work  |  2007

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Phase-type distributions in healthcare modelling I

M Fackrell

Creative Published Work  |  2007

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Phase-type distributions in healthcare modelling II

MF Fackrell

Creative Published Work  |  2007

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IMPROVED RESULTS ON POISSON PROCESS APPROXIMATION IN JACKSON NETWORKS

TC BROWN, M FACKRELL, A XIA

Journal article  |  2005  |  Cosmos

Melamed (1979) proved that for an open migration process, a necessary and sufficient condition for the equilibrium flow along a li..

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Fitting with matrix-exponential distributions

M Fackrell

Journal article  |  2005  |  Stochastic Models

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Two issues surrounding Parrondo's paradox

A Costa, M Fackrell, PG Taylor

Conference Proceedings  |  2005  |  Annals of the International Society of Dynamical Games

19

Scholarly Works

Keyword Analysis

Statistics
Expanding Knowledge
Non-Oriented Research
Applied Mathematics
Public Health and Health Services
Health and Support Services

Honours, Awards and Fellowships

2006

Early Career Researcher Grant for $14,500, Characterization of Phase-type Distributions

University of Melbourne

1

Award

Credentials

Positions

Senior Lecturer

Mathematics And Statistics

Member

Australian Society of Operations Research

Member

Statistical Society of Australia

Member

Australian Mathematics Society

Member

ANZIAM

Education

PhD

Adelaide University

Graduate Diploma in Education

South Australian College of Advanced Education

Bachelor of Science (honours)

Adelaide University

Links