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- Xinmin Hu, Daniel Ralph
- Operations Research
- 2007

We study a bilevel noncooperative game-theoretic model of restructured electricity markets, with locational marginal prices. Each player in this game faces a bilevel optimization problem that weâ€¦ (More)

- Daniel Ralph
- Math. Oper. Res.
- 1994

Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at . http://www.jstor.org/page/info/about/policies/terms.jsp. JSTOR's Terms and Conditions ofâ€¦ (More)

- Daniel Ralph, Stephen J. Wright
- Optimization Methods and Software
- 2004

Some properties of regularized and penalized nonlinear programming formulations of mathematical programs with equilibrium constraints (MPECs) are described. The focus is on the properties of theseâ€¦ (More)

- Houyuan Jiang, Daniel Ralph
- SIAM Journal on Optimization
- 2000

Mathematical programs with nonlinear complementarity constraints are reformulated using better-posed but nonsmooth constraints. We introduce a class of functions, parameterized by a real scalar, toâ€¦ (More)

- Daniel Ralph, Stephen Wrightt
- 1996

We describe an infeasible-interior-pointalgorithmfor monotone variational inequality problems and prove that it converges globally and superlinearly under standard conditions plus a constant rankâ€¦ (More)

- Sonja Wogrin, Benjamin F. Hobbs, Daniel Ralph, Efraim Centeno, J. BarquÃn
- Math. Program.
- 2013

We consider two game-theoretic models of the generation capacity expansion problem in liberalized electricity markets. The first is an open loop equilibrium model, where generation companiesâ€¦ (More)

- Stephen J. Wright, Daniel Ralph
- Math. Oper. Res.
- 1996

We use the globally convergent framework proposed by Kojima, Noma, and Yoshise to construct an infeasible-interior-point algorithm for monotone nonlinear complemen-tarity problems. Superlinearâ€¦ (More)

- Houyuan Jiang, Daniel Ralph
- Comp. Opt. and Appl.
- 1999

We describe a technique for generating a special class, called QPEC, of mathematical programs with equilibrium constraints, MPEC. A QPEC is a quadratic MPEC, that is an optimization problem whoseâ€¦ (More)

- Jong-Shi Pang, Daniel Ralph
- Math. Oper. Res.
- 1996

- Daniel Ralph, Stephen J. Wright
- Math. Oper. Res.
- 2000

We show that an interior-point method for monotone variational inequalities exhibits superlinear convergence provided that all the standard assumptions hold except for the well-known assumption thatâ€¦ (More)