Výsledky vyhledávání - Mathematical programming with complementarity constraints

A Gap Penalty Reformulation for Mathematical Programming With Complementarity Constraints: Convergence Analysis Autor Lin, Kangyu, Ohtsuka, Toshiyuki

“…Our recent study (Lin and Ohtsuka, 2024) proposed a new penalty method for solving mathematical programming with complementarity constraints (MPCC…”
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Convergence of a Penalty Method for Mathematical Programming with Complementarity Constraints Autor Hu, X. M., Ralph, D.

“…We adapt the convergence analysis of the smoothing (Ref. 1) and regularization (Ref. 2) methods to a penalty framework for mathematical programs with complementarity constraints…”
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A framework for efficient large scale equation-oriented flowsheet optimization Autor Dowling, Alexander W., Biegler, Lorenz T.

“…Despite the economic benefits of flowsheet optimization, many commercial tools suffer from long computational times, limited problem formulation flexibility…”
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Is Pessimistic Bilevel Programming a Special Case of a Mathematical Program with Complementarity Constraints? Autor Aussel, Didier, Svensson, Anton

“…) starts with reformulating it as a mathematical program with complementarity constraints…”
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On the convergence properties of modified augmented Lagrangian methods for mathematical programming with complementarity constraints Autor Luo, H. Z., Sun, X. L., Xu, Y. F., Wu, H. X.

“…In this paper, we present new convergence results of augmented Lagrangian methods for mathematical programs with complementarity constraints (MPCC…”
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Feasibility problems with complementarity constraints Autor Andreani, R., Júdice, J.J., Martínez, J.M., Martini, T.

“…) corresponding to a feasible solution of a Mathematical Programming Problem with Complementarity Constraints (MPCC…”
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A multi-objective reactive distillation optimization model for Fischer–Tropsch synthesis Autor Zhang, Yizu, He, Naien, Masuku, Cornelius M., Biegler, Lorenz T.

“…•Problem formulation includes complementarity constraints to handle phase disappearance as well as tray optimization…”
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Are weaker stationarity concepts of stochastic MPCC problems significant in absence of SMPCC-LICQ? Autor Sur, Arnab

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Arc-Length Method for Frictional Contact Problems Using Mathematical Programming with Complementarity Constraints Autor Kanno, Y., Martins, J. A. C.

“… We consider the Coulomb friction law as well as a geometrical nonlinearity explicitly. Based on a criterion of maximum dissipation of energy, we propose a formulation as a mathematical program with complementarity constraints (MPEC…”
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Nonlinear robust optimization via sequential convex bilevel programming Autor Houska, Boris, Diehl, Moritz

“…In this paper, we present a novel sequential convex bilevel programming algorithm for the numerical solution of structured nonlinear min…”
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The adaptive convexification algorithm for semi-infinite programming with arbitrary index sets Autor Stein, Oliver, Steuermann, Paul

“… Following the ideas of Floudas and Stein (SIAM J Optim 18:1187–1208, 2007 ), convex relaxations of the lower level problem are adaptively constructed and then reformulated as mathematical programs with complementarity constraints and solved…”
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An MPCC Reactive Distillation Optimization Model for Multi-Objective Fischer–Tropsch Synthesis Autor Zhang, Yizu, Masuku, Cornelius M., Biegler, Lorenz T.

“…). Here, we extend the mass, equilibrium, summation, and heat equations to a mathematical programming with complementarity constraints model to deal with possible dry trays in the non-reactive sections…”
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Is bilevel programming a special case of a mathematical program with complementarity constraints? Autor Dempe, S., Dutta, J.

“…Bilevel programming problems are often reformulated using the Karush–Kuhn–Tucker conditions for the lower level problem resulting in a mathematical program with complementarity constraints(MPCC…”
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Complementarity model for load tap changing transformers in stability based OPF problem Autor Roman, Codruta, Rosehart, William

“…The paper presents a stability optimal power flow (OPF) based problem that incorporates complementarity models for load tap changing transformers (LTCs…”
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An Inexact Solution Approach for the Mathematical Program with Complementarity Constraints Autor Azizi, Hicham, Kadrani, Abdeslam

“…We propose an approach based on a penalty formulation and a relaxation scheme for mathematical programs with complementarity constraints (MPCC…”
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Path-following for parametric MPCC: a flash tank case study Autor Nakama, Caroline S.M., Maxwell, Peter, Jäschke, Johannes

“…Mathematical programs with complementarity constraints (MPCC) can arise in process models that contain discrete decisions such as switches, phase changes, and flow reversal…”
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Lifting mathematical programs with complementarity constraints Autor Stein, Oliver

“…We present a new smoothing approach for mathematical programs with complementarity constraints, based on the orthogonal projection of a smooth manifold…”
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Pure characteristics demand models and distributionally robust mathematical programs with stochastic complementarity constraints Autor Jiang, Jie, Chen, Xiaojun

“…We formulate pure characteristics demand models under uncertainties of probability distributions as distributionally robust mathematical programs with stochastic complementarity constraints (DRMP-SCC…”
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Theoretical and numerical comparison of relaxation methods for mathematical programs with complementarity constraints Autor Hoheisel, Tim, Kanzow, Christian, Schwartz, Alexandra

“…Mathematical programs with equilibrium constraints (MPECs) are difficult optimization problems whose feasible sets do not satisfy most of the standard constraint qualifications…”
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Optimization of Interconnected Natural Gas and Power Systems Using Mathematical Programs with Complementarity Constraints Autor Blanco-Martínez, Cristian Alejandro, Álvarez-Meza, Andrés Marino, Castellanos-Dominguez, Germán, Cárdenas-Peña, David Augusto, Orozco-Gutiérrez, Álvaro Angel

“… This study poses the Weymouth constraint as a Mathematical Programming with Complementarity Constraints (MPCC…”
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