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Linear complementarity problems solvable as linear programs
In this paper, we present a theoretical and numerical study of linear complementary problems solvable as linear programs. We give several examples of linear complementarity problems which can be solved as linear programs using linear programming ...
Zakia Kebbiche
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Switched networks and complementarity [PDF]
A modeling framework is proposed for circuits that are subject both to externally induced switches (time events) and to state events. The framework applies to switched networks with linear and piecewise-linear elements, including diodes. We show that the
Camlıbel, M.K. +3 more
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OPTIMIZATION WITH LINEAR COMPLEMENTARITY CONSTRAINTS [PDF]
A Mathematical Program with Linear Complementarity Constraints (MPLCC) is an optimization problem where a continuously differentiable function is minimized on a set defined by linear constraints and complementarity conditions on pairs of complementary variables. This problem finds many applications in several areas of science, engineering and economics
openaire +4 more sources
We consider a class of absolute-value linear complementarity problems. We propose a new approximation reformulation of absolute value linear complementarity problems by using a nonlinear penalized equation.
Yuan Li, Hai-Shan Han, Dan-Dan Yang
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Strong Stationarity Conditions for Optimal Control of Hybrid Systems
We present necessary and sufficient optimality conditions for finite time optimal control problems for a class of hybrid systems described by linear complementarity models.
Goulart, Paul +2 more
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The Block Principal Pivoting Algorithm for the Linear Complementarity Problem with an M-Matrix
The principal pivoting algorithm is a popular direct algorithm in solving the linear complementarity problem, and its block forms had also been studied by many authors.
Xi-Ming Fang +2 more
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Frictional contact problem in building constructions analysis
The article discusses the contact interaction of deformable building constructions or their parts. Such interaction is realized for example at: hydraulic structures; suspension pile foundations, girder, raft, sheet piling; friction bearings and kinematic
Aleksandr Popov, Alexander Lovtsov
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An infeasible interior-point algorithm for solving the $P_*$-matrix linear complementarity problem based on a kernel function with trigonometric barrier term is analyzed.
B. Kheirfam, M. Haghighi
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The Distributionally Robust Optimization Reformulation for Stochastic Complementarity Problems
We investigate the stochastic linear complementarity problem affinely affected by the uncertain parameters. Assuming that we have only limited information about the uncertain parameters, such as the first two moments or the first two moments as well as ...
Liyan Xu, Bo Yu, Wei Liu
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An MPCC Formulation and Its Smooth Solution Algorithm for Continuous Network Design Problem
Continuous network design problem (CNDP) is searching for a transportation network configuration to minimize the sum of the total system travel time and the investment cost of link capacity expansions by considering that the travellers follow a ...
Guangmin Wang, Junwei Yu, Shubin Li
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