Professor Nigel Bean

Chair of Applied Mathematics

Office: 348 | Telephone: +61 8 8303 3797 | Personal homepage

Academic duties

Responsibility
Head of Discipline of Applied Mathematics
Member of the Curriculum Board
Member of the Research Committee

Teaching duties

Title	Level	Semester
Scientific Computing I	1	1
Financial Computing II	2	1
Advanced Stochastic Modelling	4	2

Honours supervision

Thesis title	Student	Graduation
Getting the most from a multi-skilled workforce	Josephine Varney	2008

Postgraduate supervision

Thesis title	Student	Graduation
BGP, not as easy as 1-2-3	Ashley Flavel	2009
Time-dependence in Markovian decision processes	Jeremy McMahon	2008
A multi-disciplinary approach to complex systems design	Alex Ryan	2007
Optimisation in Geothermal Energy	Josephine Varney
Matrix analytic methods in network infrastructure	Ariella Helfgott
Secure multiparty computation in the context of network management and optimisation	Alice Bednarz
Monitoring and analysis of wireless ad hoc networks	Jonathan Arnold
Application of compressed sensing to network measurement and routing	Rhys Bowden
Mathematical modelling of rock lobster populations	John Feenstra
Stochastic modelling of tumour growth	Kate Simms

Research interests

Research interest	Group
Markov chains	Stochastic Modelling and Optimisation
Matrix analytic methods	Stochastic Modelling and Optimisation
Operations research	Stochastic Modelling and Optimisation
Mathematical modelling	Stochastic Modelling and Optimisation

Research grants

Grant title	Funding Agency
Operator-Analytic Methods for Telecommunication Systems	ARC
Ensuring the Robustness of IP Routing	ARC
The use of stochastic fluid models for the evaluation of applications driven sample path	ARC
WaterLog - A mathematical model to implement recommendations of The Wentworth Group	ARC
Delivering guaranteed quality of service over IP networks	ARC
Mathematics for Government, Industry and Community -- The Magic Network	ARC

Selected publications

Publications
Markovian trees: properties and algorithms Bean, Nigel; Kontoleon, Nectarios; Taylor, Peter, Annals of Operations Research 160 (31–50) 2008
Hitting probabilities and hitting times for stochastic fluid flows the bounded model Bean, Nigel; O'Reilly, Malgorzata; Taylor, P, Probability in the Engineering and Informational Sciences 23 (121–147) 2009
Algorithms for the Laplace-Stieltjes transforms of first return times for stochastic fluid flows Bean, Nigel; O'Reilly, Malgorzata; Taylor, Peter, Methodology and Computing in Applied Probability 10 (381–408) 2008
Where's Waldo? Practical searches for stability in iBGP Flavel, Ashley; Roughan, Matthew; Bean, Nigel; Shaikh, A, IEEE 16th ICNP 2008, Orlando, Florida 19/10/08
Hitting probabilities and hitting times for stochastic fluid flows Bean, Nigel; O'Reilly, Malgorzata; Taylor, Peter, Stochastic Processes and their Applications 115 (1530–1556) 2005

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