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
Wright, S. and Ralph, D. (1996) "A superlinear infeasible-interior-point algorithm for monotone complementarity problems." Mathematics of Operations Research, 21(4): 815-838
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
Ralph, D. and Scholtes, S. (1997) "Sensitivity analysis of composite piecewise smooth equations." Mathematical Programming, 76(3): 593-611
Churilov, L., Ralph, D. and Sniedovich, M. (1998) "A note on composite concave quadratic programming." Operations Research Letters, 23(3-5): 163-169
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)
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
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. (2000) "Smooth SQP methods for mathematical programs with nonlinear complementarity constraints." SIAM Journal of Optimization, 10(3): 779-808
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
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
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
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
Eberhard, A. and Ralph, D. (2003) "Rank-1 representers." Journal of Mathematical Sciences, 115(5): 2653-2700
Churilov, L., Bomze, I.M., Sniedovich, M., Ralph, D. (2004) "Hyper sensitivity analysis of portfolio optimization problems." Asia Pacific Journal of Operational Research, 21(3): 297-317
Hu, X.M. and Ralph, D. (2004) "Convergence of a penalty method for mathematical programming with complementarity constraints." Journal of Optimization Theory and Applications, 123(2): 365-390
Ralph, D. and Wright, S.J. (2004) "Some properties of regularization and penalization schemes for MPECs." Optimization Methods and Software, 19(5): 527 - 556
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
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
Yang, X.Q. and Ralph, D. (2005) "Characterizations for perturbed exact penalty functions." Nonlinear Analysis, 62(1): 101-106
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)
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
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)
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)
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)
Ralph, D. and Xu, H. (2011) "Convergence of stationary points of sample average two-stage S stochastic programs: a generalized equation approach." Mathematics of Operations Research, 36(3): 568-592 (DOI: 10.1287/moor.1110.0506)
Wogrin, S., Hobbs, B.F., Ralph, D., Centeno, E. and Barquín, J. (2013) "Open versus closed loop capacity equilibria in electricity markets under perfect and oligopolistic competition." Mathematical Programming, 140(2): 295-322 (DOI: 10.1007/s10107-013-0696-2)
Hult, E., Jiang, H. and Ralph, D. (2014) "Exact computational approaches to a stochastic uncapacitated single allocation p-hub center problem." Computational Optimization and Applications, 59(1/2): 185-200 (DOI: 10.1007/s10589-013-9629-5)
Books, monographs, reports & case studies
Luo, Z.-Q., Pang, J.-S. and Ralph, D. (1996) Mathematical programs with equilibrium constraints. 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.
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
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
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
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.
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. 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.
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.
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
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.