Suchergebnisse - Mathematical programming with complementarity constraints

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  1. 1

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

    ISSN: 2475-1456, 2475-1456
    Veröffentlicht: IEEE 2025
    Veröffentlicht in IEEE control systems letters (2025)
    “… Our recent study (Lin and Ohtsuka, 2024) proposed a new penalty method for solving mathematical programming with complementarity constraints (MPCC …”
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  2. 2

    Convergence of a Penalty Method for Mathematical Programming with Complementarity Constraints von Hu, X. M., Ralph, D.

    ISSN: 0022-3239, 1573-2878
    Veröffentlicht: New York, NY Springer 01.11.2004
    Veröffentlicht in Journal of optimization theory and applications (01.11.2004)
    “… 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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  3. 3

    A framework for efficient large scale equation-oriented flowsheet optimization von Dowling, Alexander W., Biegler, Lorenz T.

    ISSN: 0098-1354, 1873-4375
    Veröffentlicht: Elsevier Ltd 02.01.2015
    Veröffentlicht in Computers & chemical engineering (02.01.2015)
    “… Despite the economic benefits of flowsheet optimization, many commercial tools suffer from long computational times, limited problem formulation flexibility …”
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  4. 4

    Is Pessimistic Bilevel Programming a Special Case of a Mathematical Program with Complementarity Constraints? von Aussel, Didier, Svensson, Anton

    ISSN: 0022-3239, 1573-2878
    Veröffentlicht: New York Springer US 01.05.2019
    Veröffentlicht in Journal of optimization theory and applications (01.05.2019)
    “… ) starts with reformulating it as a mathematical program with complementarity constraints …”
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  5. 5

    On the convergence properties of modified augmented Lagrangian methods for mathematical programming with complementarity constraints von Luo, H. Z., Sun, X. L., Xu, Y. F., Wu, H. X.

    ISSN: 0925-5001, 1573-2916
    Veröffentlicht: Boston Springer US 01.02.2010
    Veröffentlicht in Journal of global optimization (01.02.2010)
    “… In this paper, we present new convergence results of augmented Lagrangian methods for mathematical programs with complementarity constraints (MPCC …”
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  6. 6

    Feasibility problems with complementarity constraints von Andreani, R., Júdice, J.J., Martínez, J.M., Martini, T.

    ISSN: 0377-2217, 1872-6860
    Veröffentlicht: Amsterdam Elsevier B.V 16.02.2016
    Veröffentlicht in European journal of operational research (16.02.2016)
    “… ) corresponding to a feasible solution of a Mathematical Programming Problem with Complementarity Constraints (MPCC …”
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  7. 7

    A multi-objective reactive distillation optimization model for Fischer–Tropsch synthesis von Zhang, Yizu, He, Naien, Masuku, Cornelius M., Biegler, Lorenz T.

    ISSN: 0098-1354, 1873-4375
    Veröffentlicht: Elsevier Ltd 06.04.2020
    Veröffentlicht in Computers & chemical engineering (06.04.2020)
    “… •Problem formulation includes complementarity constraints to handle phase disappearance as well as tray optimization …”
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  8. 8

    Are weaker stationarity concepts of stochastic MPCC problems significant in absence of SMPCC-LICQ? von Sur, Arnab

    ISSN: 1862-4472, 1862-4480
    Veröffentlicht: 01.03.2025
    Veröffentlicht in Optimization letters (01.03.2025)
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  9. 9

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

    ISSN: 0022-3239, 1573-2878
    Veröffentlicht: New York, NY Springer 01.10.2006
    Veröffentlicht in Journal of optimization theory and applications (01.10.2006)
    “… 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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  10. 10

    Nonlinear robust optimization via sequential convex bilevel programming von Houska, Boris, Diehl, Moritz

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2013
    Veröffentlicht in Mathematical programming (01.12.2013)
    “… In this paper, we present a novel sequential convex bilevel programming algorithm for the numerical solution of structured nonlinear min …”
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  11. 11

    The adaptive convexification algorithm for semi-infinite programming with arbitrary index sets von Stein, Oliver, Steuermann, Paul

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer-Verlag 01.12.2012
    Veröffentlicht in Mathematical programming (01.12.2012)
    “… 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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  12. 12

    An MPCC Reactive Distillation Optimization Model for Multi-Objective Fischer–Tropsch Synthesis von Zhang, Yizu, Masuku, Cornelius M., Biegler, Lorenz T.

    ISBN: 9780128186343, 0128186348
    ISSN: 1570-7946
    Veröffentlicht: 2019
    Veröffentlicht in Computer Aided Chemical Engineering (2019)
    “… ). 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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  13. 13

    Is bilevel programming a special case of a mathematical program with complementarity constraints? von Dempe, S., Dutta, J.

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer-Verlag 01.02.2012
    Veröffentlicht in Mathematical programming (01.02.2012)
    “… 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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  14. 14

    Complementarity model for load tap changing transformers in stability based OPF problem von Roman, Codruta, Rosehart, William

    ISSN: 0378-7796, 1873-2046
    Veröffentlicht: Amsterdam Elsevier B.V 01.04.2006
    Veröffentlicht in Electric power systems research (01.04.2006)
    “… 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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  15. 15

    An Inexact Solution Approach for the Mathematical Program with Complementarity Constraints von Azizi, Hicham, Kadrani, Abdeslam

    Veröffentlicht: IEEE 01.04.2020
    “… We propose an approach based on a penalty formulation and a relaxation scheme for mathematical programs with complementarity constraints (MPCC …”
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  16. 16

    Path-following for parametric MPCC: a flash tank case study von Nakama, Caroline S.M., Maxwell, Peter, Jäschke, Johannes

    ISBN: 0323958796, 9780323958790
    ISSN: 1570-7946
    Veröffentlicht: 2022
    Veröffentlicht in Computer Aided Chemical Engineering (2022)
    “… 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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  17. 17

    Lifting mathematical programs with complementarity constraints von Stein, Oliver

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer-Verlag 01.02.2012
    Veröffentlicht in Mathematical programming (01.02.2012)
    “… 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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  18. 18

    Pure characteristics demand models and distributionally robust mathematical programs with stochastic complementarity constraints von Jiang, Jie, Chen, Xiaojun

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2023
    Veröffentlicht in Mathematical programming (01.04.2023)
    “… 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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  19. 19

    Theoretical and numerical comparison of relaxation methods for mathematical programs with complementarity constraints von Hoheisel, Tim, Kanzow, Christian, Schwartz, Alexandra

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer-Verlag 01.02.2013
    Veröffentlicht in Mathematical programming (01.02.2013)
    “… 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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  20. 20

    Optimization of Interconnected Natural Gas and Power Systems Using Mathematical Programs with Complementarity Constraints von Blanco-Martínez, Cristian Alejandro, Álvarez-Meza, Andrés Marino, Castellanos-Dominguez, Germán, Cárdenas-Peña, David Augusto, Orozco-Gutiérrez, Álvaro Angel

    ISSN: 2227-7390, 2227-7390
    Veröffentlicht: Basel MDPI AG 01.07.2024
    Veröffentlicht in Mathematics (Basel) (01.07.2024)
    “… This study poses the Weymouth constraint as a Mathematical Programming with Complementarity Constraints (MPCC …”
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