Daniel Ralph

Professor of Operations Research

Academic Director of the Centre for Risk Studies (CRS)

Director of Studies in Management Studies and Fellow of Churchill College

BSc (University of Melbourne), MS, PhD (University of Wisconsin)

My research interests include management of systemic and emerging risks, business decision making, risk aversion in electricity markets, methods and models for optimisation problems and equilibrium systems. I’m a member of the Australian Mathematical Society, INFORMS and the Mathematical Optimization Society.

I’m part of the Operations and Technology Management subject group at Cambridge Judge Business School, which focuses on practice-based research through partner organisations to address a wide spectrum of management challenges.

Daniel (Danny) Ralph.

Professional experience

Professor Ralph is a member of the Australian Mathematical Society, INFORMS and the Mathematical Optimization Society. He is Area Editor for Environment, Energy and Sustainability at Operations Research. He was Editor-in-Chief of Mathematical Programming (Series B) from 2007-2013 and has served on the editorial boards of Mathematics of Operations Research and the SIAM Journal on Optimization, as well as the SIAM-MPS book series on optimisation.

Previous appointments

Following post-doctoral research at Cornell University, Professor Ralph was Lecturer and then Senior Lecturer at the University of Melbourne in Australia.

Publications

Selected publications

Journal articles

  • Crouzeix, J.-P., Eberhard, A. and Ralph, D. (2010) “A geometrical insight on pseudoconvexity and pseudomonotonicity.” Mathematical Programming, 123(1): 61-83 (DOI: 10.1007/s10107-009-0324-3)
  • Giallombardo, G. and Ralph, D. (2008) “Multiplier convergence in trust-region methods with application to convergence of decomposition methods for MPECs.” Mathematical Programming, 112(2): 335-369 (DOI: 10.1007/s10107-006-0020-5)
  • Goulart, P.J., Kerrigan, E.C. and Ralph, D. (2008) “Efficient robust optimization for robust control with constraints.” Mathematical Programming, 114(1): 115-147 (DOI: 10.1007/s10107-007-0096-6)
  • Pang, J.-S. and Ralph, D. (2008) “Foreword: Special issue on nonlinear programming, variational inequalities, and stochastic programming.” Mathematical Programming, 117(1-2): 1-4 (DOI: 10.1007/s10107-007-0169-6)
  • Ralph, D. (2008) “Mathematical programs with complementarity constraints in traffic and telecommunications networks.” Royal Society of London. Philosophical Transactions. Mathematical, Physical and Engineering Sciences, 366(1872): 1973-1987 (DOI: 10.1098/rsta.2008.0026)
  • Hu, X. and Ralph, D. (2007) “Using EPECs to model bilevel games in restructured electricity markets with locational prices.” Operations Research, 55(5): 809-827 (DOI: 10.1287/opre.1070.0431)
  • Fletcher, R., Leyffer, S., Ralph, D. and Scholtes, S. (2006) “Local convergence of SQP methods for mathematical programs with equilibrium constraints.” SIAM Journal on Optimization, 17(1): 259-286
  • Giallombardo, G. and Ralph, D. (2006) “Multiplier convergence in trust-region methods with application to convergence of decomposition methods for MPECs.” Mathematical Programming, 2 September (DOI: 10.1007/s10107-006-0020-5)
  • Ralph, D. and Xu, H. (2005) “Implicit smoothing and its application to optimization with piecewise smooth equality constraints.” Journal of Optimization Theory and Applications, 124(3): 673-699
  • Shilton, A., Palaniswami, M., Ralph, D., Tsoi, A.C. (2005) “Incremental training of support vector machines.” IEEE Transactions on Neural Networks, 16(1): 114-131
  • Yang, X.Q. and Ralph, D. (2005) “Characterizations for perturbed exact penalty functions.” Nonlinear Analysis, 62(1): 101-106
  • Brockwell, A., Polak, E., Evans, R., Ralph, D. (2003) “Dual-sampling-rate moving-horizon control of a class of linear systems with input saturation and plant uncertainty.” Journal of Optimization Theory and Applications, 116(3): 485-516
  • Eberhard, A. and Ralph, D. (2003) “Rank-1 representers.” Journal of Mathematical Sciences, 115(5): 2653-2700
  • Jiang, H. and Ralph, D. (2003) “Extension of quasi-Newton methods to mathematical programs with complementarity constraints.” Computational Optimization and Applications, 25(1-3): 123-150
  • Hu, X. and Ralph, D. (2002) “A note on sensitivity of value functions of mathematical programs with complementarity constraints.” Mathematical Programming, 93(2): 265-279
  • Manzie, C., Palaniswami, M., Ralph, D., Watson, H. and Yi, X. (2002) “Model predictive control of a fuel injection system with a radial basis function network observer.” Transactions of the American Society of Mechanical Engineers Journal of Dynamic Systems Measurement and Control, 124(4): 648-658
  • Panchapakesan, C., Palaniswami, M., Ralph, D. and Manzie, C. (2002) “Effects of moving the centers in an RBF network.” IEEE Transactions on Neural Networks, 13(6): 1299-1307
  • De Bremaecker, J., Ferris, M. and Ralph, D. (2000) “Compressional fractures considered as contact problems and mixed complementarity problems.” Engineering Fracture Mechanics, 66(3): 287-303
  • Jiang, H. and Ralph, D. (2000) “Smooth SQP methods for mathematical programs with nonlinear complementarity constraints.” SIAM Journal of Optimization, 10(3): 779-808
  • Neame, P., Boland, N. and Ralph, D. (2000) “An outer approximate subdifferential method for piecewise affine optimization.” Mathematical Programming, 87(1): 57-86
  • Ralph, D. and Wright, S.J. (2000) “Superlinear convergence of an interior-point method despite dependent constraints.” Mathematics of Operations Research, 25(2): 179-194
  • Jiang, H. and Ralph, D. (1999) “QPECgen, a MATLAB generator for mathematical programs with quadratic objectives and affine variational inequality constraints.” Computational Optimization and Applications, 13(1-3): 25-49 (DOI: 10.1023/A:1008696504163)
  • Churilov, L., Ralph, D. and Sniedovich, M. (1998) “A note on composite concave quadratic programming.” Operations Research Letters, 23(3-5): 163-169
  • Ralph, D. and Scholtes, S. (1997) “Sensitivity analysis of composite piecewise smooth equations.” Mathematical Programming, 76(3): 593-611
  • Pang, J.-S. and Ralph, D. (1996) “Piecewise smoothness, local invertibility, and parametric analysis of normal maps.” Mathematics of Operations Research, 21(2): 401-426
  • Wright, S. and Ralph, D. (1996) “A superlinear infeasible-interior-point algorithm for monotone complementarity problems.” Mathematics of Operations Research, 21(4): 815-838
  • Ralph, D. (1994) “Global convergence of damped Newton’s method for nonsmooth equations via the path search.” Mathematics of Operations Research, 19(2): 352-389

Special issues of journals

Books, monographs, reports and case studies

  • Tuveson, M., Ralph, D. and Alexander, K. (eds.) (2020) Beyond bad apples: risk culture in business. Cambridge: Cambridge University Press.
  • Eberhard, A., Hill, R., Ralph, D. and Glover, B.M. (1999) Progress in optimization: contributions from Australasia. Dordrecht: Kluwer Academic Publishers.
  • Luo, Z.-Q., Pang, J.-S. and Ralph, D. (1996) Mathematical programs with equilibrium constraints. Cambridge: Cambridge University Press.

Book chapters

  • Tuveson, M., Ralph, D. and Alexander, K. (2020) “Conclusion.” In: Tuveson, M., Ralph, D. and Alexander, K. (eds.) Beyond bad apples: risk culture in business. Cambridge: Cambridge University Press, pp.271-275 (DOI: 10.1017/9781316996959.010)
  • Tuveson, M. and Ralph, D. (2020) “A network view of tone at the top and the role of opinion leaders.” In: Tuveson, M., Ralph, D. and Alexander, K. (eds.) Beyond bad apples: risk culture in business. Cambridge: Cambridge University Press, pp.73-102 (DOI: 10.1017/9781316996959.004)
  • Tuveson, M., Ralph, D. and Alexander, K. (2020) “Introduction.” In: Tuveson, M., Ralph, D. and Alexander, K. (eds.) Beyond bad apples: risk culture in business. Cambridge: Cambridge University Press, pp.1-18 (DOI: 10.1017/9781316996959.001)
  • Jiang, H. and Ralph, D. (1998) “Global and local superlinear convergence analysis of Newton-type methods for semismooth equations with smooth least squares.” In Fukushima, M. and Qi, L. (eds.): Reformulation – nonsmooth, piecewise smooth, semismooth and smoothing methods. Boston MA: Kluwer Academic Publishers, pp.181-209


Conference papers

  • Jansen, M., Oraiopoulos, N. and Ralph, D. (2014) “Contracting for continuity of mission critical services.” In: INFORMS Annual Meeting, 9-12 November 2014, San Francisco, CA, USA.
  • Ralph, D. and Smeers, Y. (2010) “The invisible hand for risk averse investment in electricity generation.” In Chen, B. (ed.): International Conference on Algorithmic Aspects in Information and Management, 6th, 19-21 July, Weihai, PRC.
  • Ralph, D. (2006) “Complementarity models and the architecture of energy markets.” In: International Symposium on Mathematical Programming (ISMP), 19th, 30 July-4 August 2006, Rio de Janeiro, Brazil.
  • Ralph, D., Xu, H. and Meng, F. (2006) “Regularization methods for stochastic mathematical programs with complementarity constraints.” In: European Conference on Operational Research, 21st (EURO XXI), 2-5 July 2006, Rejkjavik, Iceland.
  • Hu, X. and Ralph, D. (2001) “Nash equilibria for games in competitive electricity markets under network constraints.” In Li, D. (ed.) Proceedings of the International Conference on Optimization: Techniques and Applications (5th), 15-17 December 2001, Hong Kong. Hong Kong: Contemporary Development Company, pp.1851-1858
  • Jiang, H., Ralph, D. and Tin Loi, F. (1997) “Identification of yield limits as a mathematical program with equilibrium constraints.” In Grzebieta, R.H., Al-Mahaidi, R. and Wilson, J.L. (eds.): Australasian Conference on The Mechanics of Structures and Materials, 15th, Balkema, Rotterdam. Rotterdam: Balkema, pp.399-404

Working papers

  • Holmberg, P., Newbery, D. and Ralph, D. (2008) “Supply function equilibria: step functions and continuous representations.” Electricity Policy Research Group Working Papers, No.EPRG0829. Cambridge: University of Cambridge.
  • Hu, X., Ralph, D., Ralph, E.K., Bardsley, P. and Ferris, M.C. (2004) “Electricity generation with looped transmission networks: bidding to an ISO.” Judge Institute of Management, Cambridge University, Research Paper No.2004/16


News and insights

Firms are wrestling with how to convince staff to use artificial intelligence (AI) and other new technologies. A study led at Cambridge Judge, focusing on social comparisons among employees, cautions against a false dichotomy between full and no adoption.

From taking a risk at Cambridge Judge Business School to founding the CJBS Centre for Risk Studies, we meet Danny Ralph, Professor of Operations Research, Academic Director of the Centre for Risk Studies (CRS), Director of Studies in Management Studies and Fellow of Churchill College.

aculty and other experts at Cambridge Judge Business School can offer expert opinion on various issues that may arise at the COP26 climate-change summit in Glasgow. If you would like to contact any of these faculty members, please email [email protected]

Media coverage

Cambridge Independent | 1 November 2021

Risilience nets £6m to cut risks of climate change scenarios

Risilience, a new company that commercialises research from the Centre for Risk Studies at Cambridge Judge Business School, is launched with a £6 million Series A investment. The Risilience platform’s company-specific analysis provides detailed, quantified results to support strategic decision making and business planning while balancing investment requirements driven by future scenarios – and is deemed of particular significance as the climate breakdown curveball weaves its way through global, national and local economies. Risilience’s founders are Dr Andrew Coburn, CEO, Professor Daniel Ralph, Chairman, Dr Michelle Tuveson, Chief Client Officer, and Simon Ruffle, Chief Product Officer.

Financial Times | 21 October 2020

Crisis management courses prepare EMBA students for the worst

Daniel Ralph, Professor of Operations Research at Cambridge Judge Business School comments on contingency planning. Professor Ralph teaches Cambridge Executive MBA participants about decision making in uncertain situations and what consequences that might bring. “It sounds elementary, but if you don’t have an inquiring mind, you are less well equipped to deal with change,” he says.

Asia Insurance Post | 10 September 2020

Global annual average cat losses rise almost eight times in 50 years

Higher insurance penetration usually speeds recovery from natural disasters, but not in the US due to a fragmented insurance market, says new report from the Centre for Risk Studies at Cambridge Judge Business School. “The report looks mostly at vulnerable communities, but there also are clearly lessons for corporates in terms of preparing for catastrophe, investing in ways to recover more quickly, and more effective decision-making and implementation if disaster strikes,” said Professor Daniel Ralph.

Financial Times, 4 May 2020
Is it safe? How to handle risks you cannot easily calculate

BBC Radio 4, 9 February 2020
The World This Weekend

BBC Radio 4, 21 January 2020
World at One

Insurance Business Management, 24 September 2018
“A standardised view of risk is necessary”

Reinsurance News, 19 March 2018
RMS and Cambridge centre collaborate on new data schema

Bloomberg, 3 January 2017
Geopolitical and sovereign threats increase

Cambridge TV, 23 November 2015
Cities at Risk

My Science, 3 October 2013
Putting a price on our future

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