Search Results - mathematical program with linear complementary constraints
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A Novel Interior-Exterior Approach for the TSO-DSO based Bilevel Optimal Power Flow
ISSN: 0885-8950, 1558-0679Published: New York IEEE 01.03.2024Published in IEEE transactions on power systems (01.03.2024)“… Also, BOPF is stated as a Mathematical Program with Complementary Constraints (MPCC) by replacing the follower's OPF with associated optimality conditions…”
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On convex quadratic programs with linear complementarity constraints
ISSN: 0926-6003, 1573-2894Published: Boston Springer US 01.04.2013Published in Computational optimization and applications (01.04.2013)“…The paper shows that the global resolution of a general convex quadratic program with complementarity constraints (QPCC…”
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A Hierarchical Real-Time Balancing Market Considering Multi-Microgrids With Distributed Sustainable Resources
ISSN: 1949-3029, 1949-3037Published: Piscataway IEEE 01.01.2020Published in IEEE transactions on sustainable energy (01.01.2020)“… It is solved by developing Karush-Kuhn-Tucker conditions and combining the two problems into one mathematical programming with complementarity constraints…”
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An optimality criteria method hybridized with dual programming for topology optimization under multiple constraints by moving asymptotes approximation
ISSN: 0178-7675, 1432-0924Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2022Published in Computational mechanics (01.03.2022)“… In virtue of these advantages, it is supposed that the efficiency of optimality criteria method will become higher if constraint functions are approximated by moving asymptotes function instead of linear function…”
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Application of Optimization in Production, Logistics, Inventory, Supply Chain Management and Block Chain
ISBN: 9783039285235, 303928522X, 9783039285228, 3039285238Published: MDPI - Multidisciplinary Digital Publishing Institute 2020“…The evolution of industrial development since the 18th century is now experiencing the fourth industrial revolution. The effect of the development has…”
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Bilinear optimality constraints for the cone of positive polynomials
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer-Verlag 01.09.2011Published in Mathematical programming (01.09.2011)“…For a proper cone and its dual cone the complementary slackness condition defines an n -dimensional manifold in the space…”
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Algorithms for linear programming with linear complementarity constraints
ISSN: 1134-5764, 1863-8279Published: Berlin/Heidelberg Springer-Verlag 01.04.2012Published in TOP (01.04.2012)“…Linear programming with linear complementarity constraints (LPLCC) is an area of active research in Optimization, due to its many applications, algorithms, and theoretical existence results…”
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Solving quadratic convex bilevel programming problems using a smoothing method
ISSN: 0096-3003, 1873-5649Published: Amsterdam Elsevier Inc 01.04.2011Published in Applied mathematics and computation (01.04.2011)“…–Tucker optimality conditions of the lower level problem to obtain a nonsmooth optimization problem known to be a mathematical program with equilibrium constraints…”
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An augmented Lagrangian multiplier method based on a CHKS smoothing function for solving nonlinear bilevel programming problems
ISSN: 0950-7051, 1872-7409Published: Elsevier B.V 01.01.2014Published in Knowledge-based systems (01.01.2014)“… An NBLP problem is first transformed into a single level problem with complementary constraints by replacing the lower level problem with its Karush–Kuhn…”
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Circumventing the Slater conundrum in countably infinite linear programs
ISSN: 0377-2217, 1872-6860Published: Amsterdam Elsevier B.V 01.11.2015Published in European journal of operational research (01.11.2015)“…•Provides duality results for general countably infinite linear programs.•Proves properties of the Lagrangian function and saddle points…”
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A new frequency-domain subspace algorithm with restricted poles location through LMI regions and its application to a wind tunnel test
ISSN: 0020-7179, 1366-5820Published: Abingdon Taylor & Francis 03.04.2017Published in International journal of control (03.04.2017)“… This new approach allows to introduce in the subspace resolution constraints on the identified model poles location…”
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Generalized stationary points and an interior-point method for mathematical programs with equilibrium constraints
ISSN: 0025-5610, 1436-4646Published: Heidelberg Springer 01.09.2004Published in Mathematical programming (01.09.2004)“…Generalized stationary points of the mathematical program with equilibrium constraints (MPEC…”
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Journal Article Conference Proceeding -
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On the strength of Lagrangian duality in multiobjective integer programming
ISSN: 0025-5610, 1436-4646Published: Heidelberg Springer Nature B.V 01.07.2025Published in Mathematical programming (01.07.2025)“…This paper investigates the potential of Lagrangian relaxations to generate quality bounds on non-dominated images of multiobjective integer programs (MOIPs…”
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Duality in fuzzy linear programming: a survey
ISSN: 0171-6468, 1436-6304Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2015Published in OR Spectrum (01.01.2015)“…The concepts of both duality and fuzzy uncertainty in linear programming have been theoretically analyzed and comprehensively and practically applied in an abundance of cases…”
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Optimization problems with equilibrium constraints and their numerical solution
ISSN: 0025-5610, 1436-4646Published: Heidelberg Springer 01.09.2004Published in Mathematical programming (01.09.2004)“… This class covers several problem types like MPEC (Mathematical Programs with Equilibrium Constraints…”
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An MPEC approach to second-best toll pricing
ISSN: 0025-5610, 1436-4646Published: Heidelberg Springer 01.09.2004Published in Mathematical programming (01.09.2004)“…This paper addresses two second-best toll pricing problems, one with fixed and the other with elastic travel demands, as mathematical programs with equilibrium constraints…”
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Dynamic constraint and variable aggregation in column generation
ISSN: 0377-2217, 1872-6860Published: Elsevier B.V 01.11.2017Published in European journal of operational research (01.11.2017)“… al. (2011) to tackle degeneracy in general linear programs, we introduce and discuss the mathematical foundations of improved column-generation decompositions (ICG…”
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Program does not equal program: Constraint programming and its relationship to mathematical programming
ISSN: 2644-0865, 2644-0873Published: Linthicum Institute for Operations Research and the Management Sciences 01.11.2001Published in Interfaces (Providence) (01.11.2001)“… For those familiar with mathematical programming, a number of language barriers make it difficult to understand the concepts of constraint programming…”
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LINPRO: Linear inverse problem library for data contaminated by statistical noise
ISSN: 0010-4655, 1879-2944Published: Elsevier B.V 01.10.2012Published in Computer physics communications (01.10.2012)“…The library LINPRO which provides the solution to the linear inverse problem for data contaminated by a statistical noise is presented…”
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Generating and measuring instances of hard semidefinite programs
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer-Verlag 01.09.2010Published in Mathematical programming (01.09.2010)“…Linear Programming, LP, problems with finite optimal value have a zero duality gap and a primal…”
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