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Journal articles on the topic 'Mixed Complementarity Problem (MCP)'

Author: Grafiati

Published: 6 September 2023

Last updated: 25 July 2025

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1

Yang, Cheng Wei, Francis Tin-Loi, Sawekchai Tangaramvong, and Wei Gao. "A Complementarity Approach for Elastoplastic Analysis of Frames with Uncertainties." Applied Mechanics and Materials 553 (May 2014): 594–99. http://dx.doi.org/10.4028/www.scientific.net/amm.553.594.

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Traditional elastoplastic analysis presumes that all structural data are known exactly. However, these values often cannot be predicted precisely: they are influenced by such factors as manufacturing errors, material defects, and environmental changes. Ignoring these may lead to inaccurate (overly conservative or nonconservative) results. It is thus important that the effects of uncertain data be quantified in a reliable assessment of structural safety. This paper presents the elastoplastic analysis of skeletal frames with uncertaintiesassumed to be interval quantities (i.e. with known upper a

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2

Kuhn, A., and W. Britz. "Can hydro-economic river basin models simulate water shadow prices under asymmetric access?" Water Science and Technology 66, no. 4 (2012): 879–86. http://dx.doi.org/10.2166/wst.2012.251.

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Hydro-economic river basin models (HERBM) based on mathematical programming are conventionally formulated as explicit ‘aggregate optimization’ problems with a single, aggregate objective function. Often unintended, this format implicitly assumes that decisions on water allocation are made via central planning or functioning markets such as to maximize social welfare. In the absence of perfect water markets, however, individually optimal decisions by water users will differ from the social optimum. Classical aggregate HERBMs cannot simulate that situation and thus might be unable to describe ex

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3

Fang, Ya-ping, and Nan-jing Huang. "The equivalence of upper semi-continuity of the solution map and the R0-condition in the mixed linear complementarity problem." Applied Mathematics Letters 19, no. 7 (2006): 667–72. http://dx.doi.org/10.1016/j.aml.2005.08.020.

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4

Khan, Suhel Ahmad, and Naeem Ahmad. "Existence Results for Vector Mixed Quasi-Complementarity Problems." Journal of Mathematics 2013 (2013): 1–6. http://dx.doi.org/10.1155/2013/204348.

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We introduce strong vector mixed quasi-complementarity problems and the corresponding strong vector mixed quasi-variational inequality problems. We establish equivalence between strong mixed quasi-complementarity problems and strong mixed quasi-variational inequality problem in Banach spaces. Further, using KKM-Fan lemma, we prove the existence of solutions of these problems, under pseudomonotonicity assumption. The results presented in this paper are extensions and improvements of some earlier and recent results in the literature.

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5

Oh, Kong Ping. "The Formulation of the Mixed Lubrication Problem as a Generalized Nonlinear Complementarity Problem." Journal of Tribology 108, no. 4 (1986): 598–603. http://dx.doi.org/10.1115/1.3261274.

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The mixed-lubrication problem is formulated as a nonlinear generalized complementarity problem in which the pressure acting on the load-bearing surface is taken as the unknown, and the lubricant flow and the gap between the surfaces are taken as its complements. An iterative method was developed to find the solution, which satisfies the complementarity condition that at each point on the load-bearing surface, the pressure or at least one of its complements, is zero at all times. Moreover, the pressure and its complements satisfy non-negativity constraints. The solution intrinsically decomposes

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6

Huang, Chongchao, and Song Wang. "A penalty method for a mixed nonlinear complementarity problem." Nonlinear Analysis: Theory, Methods & Applications 75, no. 2 (2012): 588–97. http://dx.doi.org/10.1016/j.na.2011.08.061.

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7

Sun, Hongchun, and Yiju Wang. "The Solution Set Characterization and Error Bound for the Extended Mixed Linear Complementarity Problem." Journal of Applied Mathematics 2012 (2012): 1–15. http://dx.doi.org/10.1155/2012/219478.

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For the extended mixed linear complementarity problem (EML CP), we first present the characterization of the solution set for the EMLCP. Based on this, its global error bound is also established under milder conditions. The results obtained in this paper can be taken as an extension for the classical linear complementarity problems.

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8

Du, Shouqiang, and Liping Zhang. "A mixed integer programming approach to the tensor complementarity problem." Journal of Global Optimization 73, no. 4 (2019): 789–800. http://dx.doi.org/10.1007/s10898-018-00731-4.

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9

Jiang, Xiaoqin, and He Huang. "A Smoothing Newton Method with a Mixed Line Search for Monotone Weighted Complementarity Problems." Mathematical Problems in Engineering 2020 (June 30, 2020): 1–10. http://dx.doi.org/10.1155/2020/7986351.

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In this paper, we present a smoothing Newton method for solving the monotone weighted complementarity problem (WCP). In each iteration of our method, the iterative direction is achieved by solving a system of linear equations and the iterative step length is achieved by adopting a line search. A feature of the line search criteria used in this paper is that monotone and nonmonotone line search are mixed used. The proposed method is new even when the WCP reduces to the standard complementarity problem. Particularly, the proposed method is proved to possess the global convergence under a weak as

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10

Tin-Loi, F., and S. H. Xia. "Nonlinear Analysis of Cable-strut Structures as a Mixed Complementarity Problem." International Journal of Space Structures 18, no. 4 (2003): 225–34. http://dx.doi.org/10.1260/026635103322987959.

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11

Agdeppa, Rhoda P., Nobuo Yamashita, and Masao Fukushima. "The traffic equilibrium problem with nonadditive costs and its monotone mixed complementarity problem formulation." Transportation Research Part B: Methodological 41, no. 8 (2007): 862–74. http://dx.doi.org/10.1016/j.trb.2007.04.008.

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12

Gondzio, Jacek, and E. Alper Yıldırım. "Global solutions of nonconvex standard quadratic programs via mixed integer linear programming reformulations." Journal of Global Optimization 81, no. 2 (2021): 293–321. http://dx.doi.org/10.1007/s10898-021-01017-y.

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AbstractA standard quadratic program is an optimization problem that consists of minimizing a (nonconvex) quadratic form over the unit simplex. We focus on reformulating a standard quadratic program as a mixed integer linear programming problem. We propose two alternative formulations. Our first formulation is based on casting a standard quadratic program as a linear program with complementarity constraints. We then employ binary variables to linearize the complementarity constraints. For the second formulation, we first derive an overestimating function of the objective function and establish

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13

Gowda, M. Seetharama, and Jong-Shi Pang. "Stability Analysis of Variational Inequalities and Nonlinear Complementarity Problems, via the Mixed Linear Complementarity Problem and Degree Theory." Mathematics of Operations Research 19, no. 4 (1994): 831–79. http://dx.doi.org/10.1287/moor.19.4.831.

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14

Gao, Hai Tao, Ya Li Han, Fei Hao, and Song Qing Zhu. "Numerical Simulation for Non-Smooth Contact Problem in Mechanical Systems." Applied Mechanics and Materials 341-342 (July 2013): 491–95. http://dx.doi.org/10.4028/www.scientific.net/amm.341-342.491.

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Friction and contact phenomenon widely exist in mechanical systems. In order to tackle the frictional contact problem of mechanical systems, efficient numerical resolution methods and simulation methods are put forward. A mixed nonlinear complementary model describing frictional contact problem is built based on time-stepping method and complementarity theories. In order to solve the model effectively, the block matrix method and linearization method are used to change the mixed nonlinear complementary problem into a linear complementary problem which can be easily solved. At last, the validit

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15

Song, Linsen, and Yan Gao. "A Modified Nonsmooth Levenberg–Marquardt Algorithm for the General Mixed Complementarity Problem." Mathematical Problems in Engineering 2021 (November 16, 2021): 1–8. http://dx.doi.org/10.1155/2021/7249349.

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As is well known, the mixed complementarity problem is equivalent to a nonsmooth equation by using a median function. By investigating the generalized Jacobi of a composite vector-valued maximum function, a nonsmooth Levenberg–Marquardt algorithm is proposed in this paper. In the present algorithm, we adopt a new LM parameter form and discuss the local convergence rate under the local error bound condition, which is weaker than nonsingularity. Finally, the numerical experiments and the application for the real-time pricing in smart grid illustrate the effectiveness of the algorithm.

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16

Tin-Loi, F., and S. H. Xia. "Nonholonomic elastoplastic analysis involving unilateral frictionless contact as a mixed complementarity problem." Computer Methods in Applied Mechanics and Engineering 190, no. 35-36 (2001): 4551–68. http://dx.doi.org/10.1016/s0045-7825(00)00332-7.

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17

Djeumou Fomeni, Franklin, Steven A. Gabriel, and Miguel F. Anjos. "An RLT approach for solving the binary-constrained mixed linear complementarity problem." Computers & Operations Research 110 (October 2019): 48–59. http://dx.doi.org/10.1016/j.cor.2019.05.008.

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18

Wang, Guo-qiang, Yu-jing Yue, and Xin-zhong Cai. "Weighted-Path-Following Interior-Point Algorithm to Monotone Mixed Linear Complementarity Problem." Fuzzy Information and Engineering 1, no. 4 (2009): 435–45. http://dx.doi.org/10.1007/s12543-009-0033-x.

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19

Ungchittrakool, Kasamsuk, and Jiraprapa Munkong. "EXISTENCE RESULTS FOR GENERALIZED VECTOR MIXED QUASI COMPLEMENTARITY PROBLEM WITH FUZZY MAPPINGS." Far East Journal of Mathematical Sciences (FJMS) 103, no. 9 (2018): 1511–33. http://dx.doi.org/10.17654/ms103091511.

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20

Pirnia, Mehrdad, Claudio A. Cañizares, and Kankar Bhattacharya. "Revisiting the power flow problem based on a mixed complementarity formulation approach." IET Generation, Transmission & Distribution 7, no. 11 (2013): 1194–201. http://dx.doi.org/10.1049/iet-gtd.2012.0592.

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21

Li, Cuixia, and Shiliang Wu. "A TWO-STEP MATRIX SPLITTING METHOD FOR THE MIXED LINEAR COMPLEMENTARITY PROBLEM." Journal of Applied Analysis & Computation 14, no. 5 (2024): 2750–61. http://dx.doi.org/10.11948/20230373.

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22

Sharma, Anuradha. "Reformulation of bilevel linear fractional/linear programming problem into a mixed integer programming problem via complementarity problem." International Journal of Computing Science and Mathematics 15, no. 4 (2022): 359. http://dx.doi.org/10.1504/ijcsm.2022.10050770.

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23

Sharma, Anuradha. "Reformulation of bilevel linear fractional/linear programming problem into a mixed integer programming problem via complementarity problem." International Journal of Computing Science and Mathematics 15, no. 4 (2022): 359. http://dx.doi.org/10.1504/ijcsm.2022.125903.

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24

Chen, Qian, Hong Zheng, and Dongshuai Tian. "Application of Dimension Extending Technique to Unified Hardening Model." Applied Sciences 14, no. 13 (2024): 5677. http://dx.doi.org/10.3390/app14135677.

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This paper provides the process of incremental constitutive integration for the unified hardening model combined with the transformation stress method. The dimension-extending technique takes the hardening function of the hardening/softening model as the same position as the stress components, so that the constitutive integration of the plasticity can be reduced to an initial value problem of differential–complementarity equations, which is solved using the Gauss–Seidel algorithm-based Projection–Correction for the mixed complementarity problem. The Gauss–Seidel based Projection–Correction alg

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25

Marinescu, Radu, Junkyu Lee, Rina Dechter, and Alexander Ihler. "AND/OR Search for Marginal MAP." Journal of Artificial Intelligence Research 63 (December 22, 2018): 875–921. http://dx.doi.org/10.1613/jair.1.11265.

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   Mixed inference such as the marginal MAP query (some variables marginalized by summation and others by maximization) is key to many prediction and decision models. It is known to be extremely hard; the problem is NPPP-complete while the decision problem for MAP is only NP-complete and the summation problem is #P-complete. Consequently, approximation anytime schemes are essential. In this paper, we show that the framework of heuristic AND/OR search, which exploits conditional independence in the graphical model, coupled with variational-based mini-bucket heuristics can be e

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26

Zhou, Chencan, Gengchen Yang, and Quan Shi. "An Accelerated Mixed-Height Cell Circuit Legalization Method." Journal of Physics: Conference Series 2221, no. 1 (2022): 012031. http://dx.doi.org/10.1088/1742-6596/2221/1/012031.

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Abstract In Very Large-Scale Integration Circuit (VLSI) advanced node design, the standard cells are usually designed with mixed height to meet various requirements. In this paper, benefit from the initial placement from global placement, we first align cells to the power rail type matching rows and divide multi-row-height cells into single-row-height ones. Next, quadratic programming model is constructed and converted into linear complementarity problem (LCP). Last, we choose two matrix splits and apply an accelerated modulus-based matrix splitting iteration method to solve LCP. Experimental

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27

Zheng, Hong, Tan Zhang, and Qiusheng Wang. "The mixed complementarity problem arising from non-associative plasticity with non-smooth yield surfaces." Computer Methods in Applied Mechanics and Engineering 361 (April 2020): 112756. http://dx.doi.org/10.1016/j.cma.2019.112756.

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28

Tang, Jia, Sanyang Liu, and Changfeng Ma. "One-step smoothing Newton method for solving the mixed complementarity problem with a function." Applied Mathematics and Computation 215, no. 6 (2009): 2326–36. http://dx.doi.org/10.1016/j.amc.2009.08.057.

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29

Kieu, Phan Thanh, Le Xuan Dai, and Nguyen Van Hung. "On the upper semicontinuity of the solution mapping for parametric vector mixed quasivariational inequality." Science & Technology Development Journal - Engineering and Technology 2, no. 4 (2020): 246–50. http://dx.doi.org/10.32508/stdjet.v2i4.678.

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In this paper, we first study a class of parametric generalized vector mixed quasivariational inequality problem of the Minty type in locally convex Hausdorff topological vector spaces, this problem contains many problems as special cases, such as optimization problems, traffic network problems, Nash equilibrium problems, fixed point problems, variational inequality problems and complementarity problems, economic equibrium problems. Then, we establishe the conditions sufficient for stability properties such as: the upper semicontinuity, closedness, outer-continuity, outer-openness of the solut

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30

Gui, Zhuqing, Chunyan Hu, and Zhibin Zhu. "A Mixed Line Search Smoothing Quasi-Newton Method for Solving Linear Second-Order Cone Programming Problem." ISRN Operations Research 2013 (March 27, 2013): 1–9. http://dx.doi.org/10.1155/2013/230717.

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Firstly, we give the Karush-Kuhn-Tucker (KKT) optimality condition of primal problem and introduce Jordan algebra simply. On the basis of Jordan algebra, we extend smoothing Fischer-Burmeister (F-B) function to Jordan algebra and make the complementarity condition smoothing. So the first-order optimization condition can be reformed to a nonlinear system. Secondly, we use the mixed line search quasi-Newton method to solve this nonlinear system. Finally, we prove the globally and locally superlinear convergence of the algorithm.

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31

Heidari, Sina. "How Strategic Behavior of Natural Gas Exporters Can Affect the Sectors of Electricity, Heating, and Emission Trading during the European Energy Transition." Energies 13, no. 19 (2020): 5040. http://dx.doi.org/10.3390/en13195040.

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The European demand for natural gas imports may change through the energy transition, which may affect natural gas exporters’ strategic behavior and consequently the natural gas prices. Changes in natural gas prices in turn influence the European energy sector in terms of gas consumption in the short-term and investments in the long-term. The present paper develops a large-scale partial equilibrium market model formulated as a mixed complementarity model (MCP) with conjectural variations. This model considers the global natural gas market and the European markets of electricity, heating, and e

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32

Tang, Jia, Changfeng Ma, and Zhe Du. "A predictor-corrector smoothing Newton method for solving the mixed complementarity problem with aP0-function." International Journal of Computer Mathematics 87, no. 11 (2010): 2503–19. http://dx.doi.org/10.1080/00207160802680655.

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33

Tang, Jia, and Sanyang Liu. "A new smoothing Broyden-like method for solving the mixed complementarity problem with a -function." Nonlinear Analysis: Real World Applications 11, no. 4 (2010): 2770–86. http://dx.doi.org/10.1016/j.nonrwa.2009.10.002.

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34

Damodhar, Sunil S., and Krishna Suryanarayan. "Determination of Maximum Loadability by a Mixed Complementarity Formulation of the Adjusted Power Flow Problem." Electric Power Components and Systems 46, no. 4 (2018): 418–28. http://dx.doi.org/10.1080/15325008.2018.1445144.

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35

Liu, Sanyang, Jia Tang, and Changfeng Ma. "A new modified one-step smoothing Newton method for solving the general mixed complementarity problem." Applied Mathematics and Computation 216, no. 4 (2010): 1140–49. http://dx.doi.org/10.1016/j.amc.2010.02.006.

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36

Kamiński, Jacek. "Primary energy consumption in the power generation sector and various market structures: a modelling approach." Gospodarka Surowcami Mineralnymi 30, no. 4 (2014): 37–50. http://dx.doi.org/10.2478/gospo-2014-0038.

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Streszczenie W artykule przedstawiono model matematyczny, który możne być zastosowany do badań i analiz dotyczących zużycia energii pierwotnej w sektorze energetycznym dla różnych struktur rynkowych. Choć problematyka ta była już przedmiotem badań w kontekście regulacji środowiskowych czy postępu technologicznego, według najlepszej wiedzy autora wcześniejsze prace nie omawiały problematyki zużycia paliw pierwotnych w zależności od struktur rynkowych. W artykule sfor- mułowano model matematyczny, który umożliwia takie analizy. Model jest oparty na koncepcji teorii gier - zastosowano podejście C

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Blanco-Martínez, Cristian Alejandro, Andrés Marino Álvarez-Meza, Germán Castellanos-Dominguez, David Augusto Cárdenas-Peña, and Álvaro Angel Orozco-Gutiérrez. "Optimization of Interconnected Natural Gas and Power Systems Using Mathematical Programs with Complementarity Constraints." Mathematics 12, no. 14 (2024): 2224. http://dx.doi.org/10.3390/math12142224.

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The demand for thermal power generation from natural gas has increased globally due to its cleaner burning properties compared to other fossil fuels. Optimizing the gas flow through the network to meet this demand is challenging due to the nonconvex Weymouth equation constraining gas flow and nodal pressures in pipelines. Traditional methods for addressing this nonconvexity lead to significant approximation errors or high operational costs. This study poses the Weymouth constraint as a Mathematical Programming with Complementarity Constraints (MPCC) for an optimal gas flow problem. The complem

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Wu, Qiong, and Zijun Hao. "Completely Smooth Lower-Order Penalty Approach for Solving Second-Order Cone Mixed Complementarity Problems." Mathematics 13, no. 5 (2025): 690. https://doi.org/10.3390/math13050690.

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In this paper, a completely smooth lower-order penalty method for solving a second-order cone mixed complementarity problem (SOCMCP) is studied. Four distinct types of smoothing functions are taken into account. According to this method, SOCMCP is approximated by asymptotically completely smooth lower-order penalty equations (CSLOPEs), which includes penalty and smoothing parameters. Under mild assumptions, the main results show that as the penalty parameter approaches positive infinity and the smooth parameter monotonically decreases to zero, the solution sequence of asymptotic CSLOPEs conver

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Ofana, Diana Ekor. "An application of conversational thinking to the problem of racial discrimination in South Africa." Arụmarụka: Journal of Conversational Thinking 1, no. 2 (2022): 1–17. http://dx.doi.org/10.4314/ajct.v1i2.1.

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The problem of racial discrimination in South Africa speaks to the question of who is to be included and excluded from South African society. South African society before the advent of democracy structurally and politically was built on exclusionary policies that are disadvantageous to those classified as blacks, colored (mixed raced individuals), and Indians (South Africans of Indian descent), respectively. To unpack the nature of this racial discrimination, I will start by showing how the historical workings of Apartheid policies contribute to the continued problem of racial discrimination i

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Bagloee, Saeed Asadi, Majid Sarvi, Michael Patriksson, and Abbas Rajabifard. "A Mixed User-Equilibrium and System-Optimal Traffic Flow for Connected Vehicles Stated as a Complementarity Problem." Computer-Aided Civil and Infrastructure Engineering 32, no. 7 (2017): 562–80. http://dx.doi.org/10.1111/mice.12261.

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Е.В., Страшнов, та Финагин Л.А. "Моделирование динамики манипуляционных роботов в системах виртуального окружения". Труды НИИСИ РАН 8, № 5 (2018): 76–82. http://dx.doi.org/10.25682/niisi.2018.5.0011.

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Рассматривается задача моделирования в реальном времени динамики манипуляционных роботов в системах виртуального окружения. Предлагаемое решение этой задачи состоит в применении метода составных тел и его модификаций на основе им-пульсов, что позволяет реализовать динамику сложных кинематических механизмов и за-хватных устройств манипуляторов. При этом обеспечение выполнения ограничений осу-ществляется путем решения задачи MLCP (задачи со смешанными линейными дополне-ниями) относительно неизвестных значений импульсов This paper considers a problem of real time dynamic simulation of manipulatio

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Bueno, Viviane Freire, Elisa H. Kozasa, Maria Aparecida da Silva, Tânia Maria Alves, Mario Rodrigues Louzã, and Sabine Pompéia. "Mindfulness Meditation Improves Mood, Quality of Life, and Attention in Adults with Attention Deficit Hyperactivity Disorder." BioMed Research International 2015 (2015): 1–14. http://dx.doi.org/10.1155/2015/962857.

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Objective. Adults with attention deficit hyperactivity disorder (ADHD) display affective problems and impaired attention. Mood in ADHD can be improved by mindful awareness practices (MAP), but results are mixed regarding the enhancement of attentional performance. Here we evaluated MAP-induced changes in quality of life (QoL), mood, and attention in adult ADHD patients and controls using more measures of attention than prior studies.Methods. Twenty-one ADHD patients and 8 healthy controls underwent 8 weekly MAP sessions; 22 similar patients and 9 controls did not undergo the intervention. Mood

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Cleaveland, Matthew, Insup Lee, George J. Pappas, and Lars Lindemann. "Conformal Prediction Regions for Time Series Using Linear Complementarity Programming." Proceedings of the AAAI Conference on Artificial Intelligence 38, no. 19 (2024): 20984–92. http://dx.doi.org/10.1609/aaai.v38i19.30089.

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Conformal prediction is a statistical tool for producing prediction regions of machine learning models that are valid with high probability. However, applying conformal prediction to time series data leads to conservative prediction regions. In fact, to obtain prediction regions over T time steps with confidence 1--delta, previous works require that each individual prediction region is valid with confidence 1--delta/T. We propose an optimization-based method for reducing this conservatism to enable long horizon planning and verification when using learning-enabled time series predictors. Inste

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Wang, Xu, Kuan Lu, Jianming Shi, and Takashi Hasuike. "A New MIP Approach on the Least Distance Problem in DEA." Asia-Pacific Journal of Operational Research 37, no. 06 (2020): 2050027. http://dx.doi.org/10.1142/s021759592050027x.

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In this paper, we deal with the least distance problem (LDP) in Data Envelopment Analysis (DEA), which is to find a closest efficient target over the whole efficient frontier. To this end, we define the efficient frontier by a linear complementarity system and propose a mixed integer programming (MIP) approach to solve the LDP. Our proposed MIP approach: (1) can solve the LDP based on [Formula: see text]-norm ([Formula: see text]) by using a state-of-the-art solver and obtain the closest efficient target over the whole efficient frontier instead of a subset of it; (2) can be applied for comput

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Liu, Nan, Hui Pang, and Rui Yao. "Robust Mixed H2/H∞ State Feedback Controller Development for Uncertain Automobile Suspensions with Input Delay." Processes 8, no. 3 (2020): 359. http://dx.doi.org/10.3390/pr8030359.

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In order to achieve better dynamics performances of a class of automobile active suspensions with the model uncertainties and input delays, this paper proposes a generalized robust linear H2/H∞ state feedback control approach. First, the mathematical model of a half-automobile active suspension is established. In this model, the H∞ norm of body acceleration is determined as the performance index of the designed controller, and the hard constraints of suspension dynamic deflection, tire dynamic load and actuator saturation are selected as the generalized H2 performance output index of the desig

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Xiao, Jian-zhong, Wei-cheng Kong, Xiao-lin Wang, and Ming Li. "Numerical modeling and assessment of natural gas pipeline separation in China: the data from Henan Province." Petroleum Science 17, no. 1 (2019): 268–78. http://dx.doi.org/10.1007/s12182-019-00400-5.

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Abstract China’s natural gas market is focusing on price reform and aims to reconstruct vertically integrated industrial chains in the future. Based on the mixed complementarity problem model of gas markets with nodes in Henan Province, China, as an example, this paper applies numerical modeling to simulate the effects of social welfare and equilibrium prices on nodes in two scenarios: pipeline integration and pipeline separation. The findings reveal the following: (1) Pipeline separation yields greater overall social welfare than pipeline integration, with the welfare shifting from gas produc

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Oh, Kong Ping. "Closure to “Discussion of ‘The Formulation of the Mixed Lubrication Problem as a Generalized Nonlinear Complementarity Problem’” (1986, ASME J. Tribol., 108, p. 604)." Journal of Tribology 108, no. 4 (1986): 604. http://dx.doi.org/10.1115/1.3261276.

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Rees, Gareth H., Peter Crampton, Robin Gauld, and Stephen MacDonell. "The promise of complementarity: Using the methods of foresight for health workforce planning." Health Services Management Research 31, no. 2 (2018): 97–105. http://dx.doi.org/10.1177/0951484818770408.

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Health workforce planning aims to meet a health system’s needs with a sustainable and fit-for-purpose workforce, although its efficacy is reduced in conditions of uncertainty. This PhD breakthrough article offers foresight as a means of addressing this uncertainty and models its complementarity in the context of the health workforce planning problem. The article summarises the findings of a two-case multi-phase mixed method study that incorporates actor analysis, scenario development and policy Delphi. This reveals a few dominant actors of considerable influence who are in conflict over a few

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de Oliveira, Andréa L. R., and Augusto M. Alvim. "The supply chain of Brazilian maize and soybeans: the effects of segregation on logistics and competitiveness." International Food and Agribusiness Management Review 20, no. 1 (2017): 45–61. http://dx.doi.org/10.22434/ifamr2016.0084.

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Despite the significant advances of Brazilian agriculture, transportation and storage costs still constitute the main barriers to the Brazilian agribusiness. The aim of this article is to analyze the effect of segregation of maize and soybeans in the Brazilian transport and storage logistics, especially genetically modified grains. In the context of the guidelines of the Cartagena Protocol on Biosafety (CPB) as well as of the competitiveness in the international market, we develop a spatial equilibrium model in the form of a mixed complementarity problem. The competitiveness of Brazilian maize

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Bayada, G., and Marie-He´le`ne Meurisse. "Discussion: “The Formulation of the Mixed Lubrication Problem as a Generalized Nonlinear Complementarity Problem” (Oh, Kong Ping, 1986, ASME J. Tribol., 108, pp. 598–603)." Journal of Tribology 108, no. 4 (1986): 604. http://dx.doi.org/10.1115/1.3261275.

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