Publications

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  • KG SIRINANDA, M. Brazil, PA GROSSMAN, JH RUBINSTEIN, DA THOMAS. OPTIMAL LOCATION OF AN UNDERGROUND CONNECTOR USING DISCOUNTED STEINER TREE THEORY. The ANZIAM Journal, 334-351, 2021. doi: 10.1017/s1446181120000231.

  • Juan L Yarmuch, M. Brazil, Hyam Rubinstein, Doreen A Thomas. A mathematical model for mineable pushback designs. International Journal of Mining, Reclamation and Environment, 1-17, 2021. doi: 10.1080/17480930.2021.1885582.

  • Yahui Sun, Daniel Rehfeldt, M. Brazil, Doreen Thomas, Saman Halgamuge. A Physarum-Inspired Algorithm for Minimum-Cost Relay Node Placement in Wireless Sensor Networks. IEEE/ACM Transactions on Networking, 28, 681-694, 2020. doi: 10.1109/TNET.2020.2971770.

  • M Volz, M. Brazil, C. Ras, D Thomas. Computing Skeletons for Rectilinearly Convex Obstacles in the Rectilinear Plane. Journal of Optimization Theory and Applications, 186, 102-133, 2020. doi: 10.1007/s10957-020-01690-1.

  • D Whittle, M. Brazil, PA Grossman, JH Rubinstein, DA Thomas. Solving the prize‐collecting Euclidean Steiner tree problem. International Transactions in Operational Research, 2020. doi: 10.1111/itor.12853.

  • C. Ras, M. Brazil, DA Thomas. Computational complexity of the 2-connected Steiner network problem in the ? plane. Theoretical Computer Science, 168-184, 2020. doi: 10.1016/j.tcs.2020.11.002.

  • Y Sun, M. Brazil, D Thomas, S Halgamuge. The Fast Heuristic Algorithms and Post-Processing Techniques to Design Large and Low-Cost Communication Networks. IEEE/ACM Transactions on Networking, 27, 375-388, 2019. doi: 10.1109/TNET.2018.2888864.

  • JL Yarmuch, M. Brazil, H Rubinstein, DA Thomas. Optimum ramp design in open pit mines. Computers and Operations Research, 104739 (9pp), 2019. doi: 10.1016/j.cor.2019.06.013.

  • D. Kirszenblat, KG Sirinanda, M. Brazil, P. Grossman, J. Rubinstein, D. Thomas. Minimal curvature-constrained networks. Journal of Global Optimization, 71-87, 2018. doi: 10.1007/s10898-018-0625-2.

  • MG Volz, M. Brazil, D. Thomas. Strategic optimisation of a vertical hoisting shaft in the callie underground mine. 591-605, Springer, 2018. doi: 10.1007/978-3-319-69320-0_34.

  • KG Sirinanda, M. Brazil, P. Grossman, J. Rubinstein, D. Thomas. Strategic underground mine access design to maximise the net present value. 607-624, Springer, 2018. doi: 10.1007/978-3-319-69320-0_35.

  • D Whittle, M. Brazil, P. Grossman, J. Rubinstein, D. Thomas. Combined optimisation of an open-pit mine outline and the transition depth to underground mining. European Journal of Operational Research, 268, 624-634, 2018. doi: 10.1016/j.ejor.2018.02.005.

  • RR Kolluri, I Mareels, T Alpcan, M. Brazil, J de Hoog, D. Thomas. Stability and active power sharing in droop controlled inverter interfaced microgrids: Effect of clock mismatches. Automatica, 93, 469-475, 2018. doi: 10.1016/j.automatica.2018.03.025.

  • M. Brazil, M Volz, M Zachariasen, C. Ras, D Thomas. Computing minimum 2-edge-connected Steiner networks in the Euclidean plane. Networks, 89-103, 2018. doi: 10.1002/net.21835.

  • M. Brazil, M Volz, M Zachariasen, C. Ras, D Thomas. New pruning rules for the Steiner tree problem and 2-connected Steiner network problem. Computational Geometry: Theory and Applications, 37-49, 2018. doi: 10.1016/j.comgeo.2018.10.003.

  • PA Grossman, M. Brazil, JH Rubinstein, DA Thomas. Scheduling the construction of value and discount weighted trees for maximum net present value. Computers and Operations Research, 104578 (12pp), 2018. doi: 10.1016/j.cor.2018.10.018.

  • RR Kolluri, I Mareels, C Teixeira, S Tong, T Alpcan, M. Brazil, JD Hoog, D Anne Thomas. Overcoming the Impact of Clock Drifts on Power Sharing for Microgrids. IEEE Power and Energy Society General Meeting, 2018-August, 1-5, 2018. doi: 10.1109/PESGM.2018.8586450.

  • Ramachandra Rao Kolluri, Julian de Hoog, Khalid Abdulla, Iven Mareels, Tansu Alpcan, M. Brazil, Doreen Anne Thomas. Siting and sizing distributed storage for microgrid applications. 2017 IEEE International Conference on Smart Grid Communications, SmartGridComm 2017, 2018-January, 128-133, 2017. doi: 10.1109/SmartGridComm.2017.8340686.

  • M. Brazil, C. Ras, KJ Swanepoel, D. Thomas. The centroid as an estimate for the quadratic min-power centre. University of Groningen, 2014.

  • M. Brazil, C. Ras, D. Thomas. A flow-dependent quadratic Steiner tree problem in the Euclidean plane. Networks, 64, 18-28, 2014. doi: 10.1002/net.21553.

  • M. Brazil, C. Ras, D. Thomas. A geometric characterisation of the quadratic min-power centre. European Journal of Operational Research, 233, 34-42, 2014. doi: 10.1016/j.ejor.2013.09.004.

  • MG Volz, M. Brazil, C. Ras, KJ Swanepoel, D. Thomas. The Gilbert arborescence problem. Networks, 61, 238-247, 2013. doi: 10.1002/net.21475.

  • M. Brazil, C. Ras, D. Thomas. Relay augmentation for lifetime extension of wireless sensor networks. IET Wireless Sensor Systems, 3, 145-152, 2013. doi: 10.1049/iet-wss.2012.0126.

  • M. Brazil, C. Ras, D. Thomas. The bottleneck 2-connected k-Steiner network problem for k<2. Discrete Applied Mathematics, 160, 1028-1038, 2012. doi: 10.1016/j.dam.2012.01.006.

  • M. Brazil, C. Ras, D. Thomas. The Bottleneck Biconnected Steiner Network Problem. Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012), 2012.

  • M. Brazil, C. Ras, D. Thomas. A New Algorithm for the Euclidean k-Bottleneck Steiner Problem. Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems 2010, 155-160, 2010.

  • M. Brazil, C. Ras, D. Thomas. Approximating Minimum Steiner Point Trees in Minkowski Planes. Networks, 56, 244-254, 2010. doi: 10.1002/net.20376.

  • M. Brazil, C. Ras, D. Thomas. Deterministic deployment of wireless sensor networks. Proceedings of the World Congress on Engineering 2009, 1, 863-868, 2009.

  • DA Thomas, M. Brazil, DH Lee, NC Wormald. Network modelling of underground mine layout: two case studies. International Transactions in Operational Research, 14, 143-158, 2007. doi: 10.1111/j.1475-3995.2007.00579.x.

  • M. Brazil, PA Grossman, DH Lee, JH Rubinstein, DA Thomas, NC Wormald. Constrained path optimisation for underground mine layout. WORLD CONGRESS ON ENGINEERING 2007, VOLS 1 AND 2, II, 856-+, 2007.

  • M. Brazil, M Morelande, B Moran, DA Thomas, W MORAN. Distributed self-localisation in sensor networks using RIPS measurements. WORLD CONGRESS ON ENGINEERING 2007, VOLS 1 AND 2, 2, 1476-+, 2007.

  • M. Brazil, DA Thomas. Network optimization for the design of underground mines. Networks, 49, 40-50, 2007. doi: 10.1002/net.20140.

  • X Wang, B Moran, M. Brazil, W MORAN. Hyperbolic positioning using RIPS measurements for wireless sensor networks. Proceedings of the 2007 15th IEEE International Conference on Networks, 425-430, 2007. doi: 10.1109/ICON.2007.4444124.

  • M. Brazil, DA Thomas, JF Weng, M Zachariasen. Canonical forms and algorithms for steiner trees in uniform orientation metrics. Algorithmica (New York), 44, 281-300, 2006. doi: 10.1007/s00453-005-1178-6.

  • J WENG, J MacGregor Smith, M. Brazil, D THOMAS. Quasi-indicators and optimal Steiner topologies on four points in space. Proceedings of the Seventeenth Australasian Workshop on Combinational Algorithms (AWOCA 2006), 54-66, 2006.

  • M. Brazil, DA Thomas, JF Weng. Locally minimal uniformly oriented shortest networks. Discrete Applied Mathematics, 154, 2545-2564, 2006. doi: 10.1016/j.dam.2005.04.021.

  • M. Brazil, DA Thomas, JF Weng, JH Rubinstein, DH Lee. Cost optimisation for underground mining networks. Optimization and Engineering, 6, 241-256, 2005. doi: 10.1007/s11081-005-6797-x.

  • M. Brazil, JH RUBINSTEIN, MG VOLZ. The gradient-constrained Fermat-Weber problem for underground mine design. Proceedings of the 18th National Conference of the Australian Society for Operations Research and the 11th Australian Optimisation Day, 16-23, 2005.

  • M. Brazil, P Winter, M Zachariasen. Flexibility of steiner trees in uniform orientation metrics. Networks, 46, 142-153, 2005. doi: 10.1002/net.20082.

  • M. Brazil, D Lee, JH Rubinstein, DA Thomas, JF Weng, NC Wormald. Optimisation in the design of underground mine access. 121-124, AUSTRALASIAN INST MINING & METALLURGY, 2005.

  • M. Brazil, DH LEE, JH RUBINSTEIN, DA THOMAS, JF WENG, NC WORMALD. Optimisation in the design of underground mine access. Proceedings of Orebody modelling and strategic mine planning: uncertainty and risk management: International symposium 2004, 3-6, 2004.

  • M. Brazil, DA THOMAS, JF WENG, P WINTER, M ZACHARIASEN. The structure and flexibility of Steiner trees in uniform orientation metrics. Proceedings of the sixth international conference on optimization: techniques and applications (ICOTA6 2004), 1-11, 2004.

  • M. Brazil, P Winter, M Zachariasen. Flexibility of steiner trees in uniform orientation metrics. Lecture notes in computer science: Algorithms and computation: 15th international symposium, ISAAC 2004 proceedings, 3341, 196-208, 2004.

  • M. Brazil, DA Thomas, JF Weng. Upper and lower bounds for the lengths of steiner trees in 3-space. Geometriae Dedicata, 109, 107-119, 2004. doi: 10.1007/s10711-004-1528-6.

  • M. Brazil, BK Nielsen, P Winter, M Zachariasen. Rotationally optimal spanning and steiner trees in uniform orientation metrics. Computational Geometry: Theory and Applications, 29, 251-263, 2004. doi: 10.1016/j.comgeo.2004.04.001.

  • C. Mangelsdorf, M. Brazil, A. TORDESILLAS. Getting hooked on mathematics through its applications. Teaching Mathematics and its Applications, 22, 63-75, 2003. doi: 10.1093/teamat/22.2.63.

  • M. Brazil. Flexibility of Steiner minimum trees in uniform orientation metrics. Proceedings of 18th international symposium on mathematical programming, 1-11, 2003.

  • M. Brazil, DH Lee, M Van Leuven, JH Rubinstein, DA Thomas, NC Wormald. Optimising declines in underground mines. Transactions of the Institutions of Mining and Metallurgy, Section A: Mining Technology, 112, A164-A170, 2003. doi: 10.1179/037178403225003546.

  • M. Brazil, DA Thomas, JF Weng. Forbidden subpaths for Steiner minimum networks in uniform orientation metrics. Networks, 39, 186-202, 2002. doi: 10.1002/net.10025.

  • M. Brazil, DH LEE, JH RUBINSTEIN, DA THOMAS, JF WENG, NC WORMALD. A network model to optimise cost in underground mine design. The Transactions of the South African Institute of Electrical Engineers, 93, 97-103, 2002.

  • M. Brazil. Steiner minimum trees in uniform orientation metrics. 21-28, Kluwer Academic/Plenum Publishers, 2001.

  • M. Brazil, JH Rubinstein, DA Thomas, JF Weng, NC Wormald. Gradient-constrained minimum networks. I. fundamentals. Journal of Global Optimization, 21, 139-155, 2001. doi: 10.1023/A:1011903210297.

  • M. Brazil, JH RUBINSTEIN, DA THOMAS, JF WENG. Modelling and optimisation of a weighted network in an underground mine design. Proceedings of the 3rd International Conference on Control Theory and Applications, 564-567, 2001.