Dr Andrea Raith
BSc, Dipl.-Math., PhD
Andrea Raith is Senior Lecturer in the Department of Engineering Science. She obtained her PhD in Engineering Science in 2010. Her thesis is titled ‘Multi-objective Transportation and Routing Problems’. Prior to this she obtained the degrees of Dipl.-Math. and Bachelor of Science in Mathematics from the Technische Universität Darmstadt, Germany, in 2002 and the degree of Diplom Mathematikerin (similar to MSc) in 2005. As part of her MSc, she wrote a thesis titled ‘Bicriteria optimisation of synchronous generators for wind power plants’ in collaboration with the Department of Electrical Engineering and Information Technology. After the completion of her thesis, she continued working at the department and developed an extension of the bicriteria optimisation method to the multi-objective case. This was used in consulting work for a major manufacturer of wind power plants.
Andrea's main research interests are algorithms for bi- and multiobjective network optimisation problems such as the shortest path problem, network flow problems, and the transportation problem. Furthermore, Andrea currently applies bi-objective optimisation in the context of the so-called traffic assignment problem, which models the route choice of network users in traffic networks. These techniques can be applied to transportation planning, and especially when modelling the effects of road tolling, or when modelling the route choice of cyclists that seek short but comfortable routes. Other interests in transport modelling are modelling of aircraft paths and dealing with weather uncertainty in this context.
More recently, Andrea is exploring the use of Operations Research techniques in health care planning, in particular in radiation therapy treatment.
PhD in Engineering Science, The University of Auckland, 2010
Dipl.-Math, Technische Universität Darmstadt, Germany, 2005
BSc in Mathematics, Technische Universität Darmstadt, Germany, 2003
Research | Current
- Algorithms for bi- and multi-objective network optimisation problems.
- Transportation modelling in vehicular traffic, cycling, aircraft routing.
- Network equilibrium problems such as traffic assignment.
- Multicriteria optimisation in radiotherapy treatment planning
- Multicriteria robust optimisation
Teaching | Current
- ENGSCI 211 - Mathematical Modelling 2
- ENGSCI 213 - Mathematical Modelling 2SE
- ENGSCI 755 - Decision Making in Engineering
- ENGSCI 761 - Integer and Multiobjective Optimisation
- ENGGEN 131 - Introduction to Engineering Computation and Software Development
- ENGSCI 255 - Modelling in Operations Research
- ENGSCI 311, ENGSCI 313 - Mathematical Modelling 3
- ENGSCI 762 - Advanced Topics in Operations Research (nonlinear optimisation)
- Simon Bush (2012-present), A Systems Thinking Approach to Optimising the Performance of New Zealand's Highway Bridges, with Theuns Henning and Jason Ingham.
- Guillermo Cabrera (2012-present), Multi-criteria Intensity Modulated Radiation Therapy Optimisation, with Matthias Ehrgott and Andrew Mason.
- Ethan Liu (2012-present, Lancaster University), Optimisation over the Efficient Set of a Multiobjective Optimisation Problems, with Matthias Ehrgott.
- Lin Chen (2011-2016), Optimised Decision Making in Asset Management, with Theuns Henning.
- Kuan-Min Lin (2011-2016, Lancaster University), Multiobjective Optimisation of Intensity Modulated Arc Therapy, with Matthias Ehrgott.
- Olga Perederieieva (2011-2015), Multiobjective Network Equilibria - From Definition to Algorithms, with Matthias Ehrgott and Judith Wang.
- Garry Miller (2010-present), Methods of Improving Productivity in Construction & Engineering: Information Flows and Innovation, with Theuns Henning.
- Siamak Moradi (2010-2015), Multi-objective Multi-commodity flow and Traffic Assignment, with Matthias Ehrgott.
ME / MOR
- Sindiya Vakeesan (2012-2014), Optimising the size of rainwater tanks based on multiple criteria, with Asaad Shamseldin.
- Chrislyn Braganza (2013), Estimating Travel Times on Auckland's Motorways, with Cameron Walker.
- Keith Ruddell (2012-2013), Improved Algorithms for the Traffic Assignment Problem using network aggregation and disaggregation.
- Simon Bull (2012), Scheduling to minimize tardiness on parallel machines with family setups, with Andrew Mason.
- Associate Dean PBRF (2015-)
- Faculty of Engineering Timetabling Committee, Chair (2015)
- Faculty of Engineering Research Committee (2014-2015)
- Faculty of Engineering Equity Committee (2014)
- Faculty of Engineering Library Committee (2011-2015)
Areas of expertise
- Multi-objective / Multi-criteria Optimisation
- Network Optimisation
- Transport Modelling
- Decision Making
- Data Envelopment Analysis
- Treasurer and Council Member of ORSNZ
- Member of Multicriteria Decision Making (MCDM) Society
Selected publications and creative works (Research Outputs)
- Raith, A., & Sedeño-Noda A (2017). Finding extreme supported solutions of biobjective network flow problems: an enhanced parametric programming approach. Computers & Operations Research10.1016/j.cor.2017.01.004
- Lin, K. M., Ehrgott, M., & Raith, A. (2016). Integrating column generation in a method to compute a discrete representation of the non-dominated set of multi-objective linear programmes. 4OR, 1-27. 10.1007/s10288-016-0336-9
- Raith, A., Thielen, C., & Tidswell, J. (2016). Modelling and optimising fuel consumption in traffic assignment problems. In M. Burke (Ed.) Australasian Transport Research Forum 2016 Proceedings online. Related URL.
Other University of Auckland co-authors: James Tidswell
- Kuhn, K., Raith, A., Schmidt, M., & Schöbel A (2016). Bi-objective robust optimisation. European Journal of Operational Research, 252 (2), 418-431. 10.1016/j.ejor.2016.01.015
- Perederieieva, O., Ehrgott, M., Raith, A., & Wang, J. Y. T. (2016). Numerical stability of path-based algorithms for traffic assignment. Optimization Methods and Software, 31 (1), 53-67. 10.1080/10556788.2015.1047018
- Cabrera G. G, Ehrgott, M., Mason, A. J., & Raith, A. (2016). A matheuristic approach to solve the multiobjective beam angle optimization problem in intensity-modulated radiation therapy. International Transactions in Operational Research, n/a-n/a. 10.1111/itor.12241
Other University of Auckland co-authors: Andrew Mason
- Chen, L., Henning, T. F. P., Raith, A., & Shamseldin, A. Y. (2015). Multiobjective Optimization for Maintenance Decision Making in Infrastructure Asset Management. Journal of Management in Engineering, 31 (6), 04015015-04015015. 10.1061/(ASCE)ME.1943-5479.0000371
Other University of Auckland co-authors: Theuns Henning, Asaad Shamseldin
- Moradi, S., Raith, A., & Ehrgott, M. (2015). A bi-objective column generation algorithm for the multi-commodity minimum cost flow problem. European Journal of Operational Research, 244 (2), 369-378. 10.1016/j.ejor.2015.01.021