## Tutorial

**
**

** D Ralph Tutorial on Equilibrium Programming
**** Summer School, ICCOPT I, Rensselaer Polytechnic Institute,
Troy, NY, 31 July - 1 Aug 2004 **
equil-prog-tute-8-04.pdf PDF file.
(ICCOPT homepage http://eaton.math.rpi.edu:16080/iccopt/)
## Networks

**
**** D Ralph
**** Nonlinear programming advances in
mathematical programming with
complementarity constraints
**
MPCC-review.pdf A review of MPCC with motivation from traffic equilibria and communication networks. PDF file.
**
**

** E Hult Closed Charging Cordon Design Problem
**** Superised by Gavin Gaunt, UK Department for Transport, and Danny Ralph, University of Cambridge,
July-Sep 2006**
Hult-traffic-cordon.pdf PDF file.
## Preprints

**
**

** G Giallombardo, D Ralph
**** Multiplier convergence in trust region methods with application to ... MPECs
**
Giallombardo-Ralph.pdf
Mathematical Programming 112 (2008), 335-369. PDF file.
**
**

** PJ Goulart, EC Kerrigan, D Ralph
**** Efficient robust optimization for robust control with
constraints
**
Goulart-Kerrigan-Ralph.pdf To appear in Mathematical Programming, Series A. PDF file.
**
**

** D Ralph and Y Smeers
**** EPECs as models for electricity markets
**
Ralph-Smeers-EPEC-electricity.pdf PDF file.
**
**

**X Hu and D Ralph
**** Using EPECs to model bilevel games in restructured electricity
markets with locational prices
**
epec-12-06.pdf PDF file.
**
**

**X Hu, D Ralph, E Ralph, MC Ferris and P Bardsley
**** Electricity generation with looped transmission networks: Bidding
to an ISO**
elec-gen.pdf PDF file.
**
**

** D Ralph and SJ Wright
Some Properties of Regularization and Penalization Schemes for MPECs
**** (to appear in OMS)**
mpec-reg.pdf PDF file
**
**

**R Fletcher, S Leyffer, D Ralph and S Scholtes
Local convergence of SQP methods for mathematical programs with equilibrium constraints
**** (to appear in SIAM J Optimization)**
Fletcher-Leyffer-Ralph-Scholtes.pdf PDF file.

**X Hu and D Ralph
Convergence of a Penalty Method for Mathematical Programming with Complementarity Constraints
**** (to appear in JOTA)
**
hr-pen-mpcc.pdf PDF file.

**X Hu and D Ralph
A note on sensitivity of value functions
of mathematical programs with complementarity constraints
**** (to appear in Math Programming)
**
hr-sens-mpcc.pdf PDF file.

**H Jiang and D Ralph
Extension of quasi-Newton methods to
mathematical programs with complementarity constraints
**** (to appear in COAP)
**
jr-qn-mpcc.pdf PDF file.

**D Ralph
A stable homotopy approach to horizontal
linear complementarity problems **** (to appear in Control
and Cybernetics)
**
stable-hlcp.pdf PDF file.
## QPECgen files

**
**

** H Jiang, D Ralph
**** QPECgen, A matlab generator for mathematical programs with quadratic objectives and affine variational inequality constraints.
**
1997 working paper, revised & published in Computational Optimization and Applications (1999), 25-59.
qpecgen97.pdf
PDF file.

**
Matlab files:
**
qpecgen.m
parameter.m

[
Cambridge University
| CUED
| Management Group
]