Infeasibility detection and regularization strategies. Mounir haddou social strategy of particles in optimization problems bozena borowska kmedoid clustering is solvable in polynomial time for a 2d pareto front nicolas dupin, frank nielsen, talbi elghazali reversed search maximum clique algorithm based on recoloring deniss kumlander, aleksandr porosin on chebyshev center of the. A unified framework of regularization methods for degenerate non. Solving absolute value equation using complementarity and smoothing functions l. Dans une seconde partie, nous avons etudie les problemes doptimisation sous. Applications science and engineering optimal threshold classification characteristics david kisets applications or and management sciences an alternating minimization method for robust principal component analysis yuan shen, hongyu xu, xin liu applications or and management sciences.
The aim of this paper is to present and solve a mathematical model of a twoaircraft optimal control problem reducing the noise on the ground during the approach. A new strategy for solving nonlinear complementarity. October 20, 2015 abstract in this paper, we consider the nphard problem of solving absolute. A wellknown approximation is to consider the convex problem of minimizing we are interested in nding improved results in cases where the problem in does not provide an optimal solution to the problem. A smoothing method for sparse optimization over polyhedral sets. Mounir haddou, patrick maheux submitted on 10 jun 2010 abstract. Journal of optimization theory and applications, springer verlag, 2014, 160 3, pp. We prove global convergence of the algorithm and report some. On the refinement of discretization for optimal control problems. A new relaxation method for a discrete image restoration problem. The workshop was the fourth in a series of workshops on nonlinear optimization. The lcp is a feasibility and not an optimization problem, but it is wellknown that it is closely related with optimization. A subadditive merit function for complementarity problems and.
Majorana centre for scientific culture, during june 22july 1, 2004. To view the rest of this content please follow the download pdf link above. The new butterfly relaxation methods for mathematical program with complementarity constraints. Optimization algorithm has solved a complex optimal control problem, and generates flight paths minimizing aircraft noise levels. The specificity of our method is to compute the newton step using a modified system similar to that introduced by darvay in stud univ babebolyai ser inform 47. Univ rennes, insa rennes, cnrs, irmar, rennes, france. A new relaxation method for a discrete image restoration problem m. In this paper, we present a new smoothing approach to solve general nonlinear complementarity problems. We introduce new and very simple regularizations of the complementarity constraints. A generalized direction in interior point method for. A new strategy for solving nonlinear complementarity problems arising in thermodynamics of compositional multiphase mixtures duc thach son vu, ifp energies nouvelles, france ibtihel ben gharbia, ifp energies nouvelles, france mounir haddou, irmar, insarennes, france quang huy tran, ifp energies nouvelles, france in this work, we propose a new method to solve di cult nonlinear. A regularization method for illposed bilevel optimization.
In this context, a first candidate for a new optimization method is currently being studied. Lina abdallah mapmo, mounir haddou mapmo, salah khardi bt. Computational optimization and applications, volume 5. Pdf asymptotic analysis for penalty and barrier methods in.
We discuss here the convergence of relaxation methods for mpcc with approximate sequence of stationary points by presenting a general framework. Stampacchia international school of mathematics of the e. Optimal control of twocommercial aircraft dynamic system during approach fulgence nahayo, salah khardi, mounir haddou to cite this version. A class of smoothing methods is proposed for solving mathematical programs with equimibrium constraints.
Solving absolute value equation using complementarity and. The lcp is a feasibility and not an optimization problem, but it is wellknown that it is closely related with optimization problems. A new class of smoothing methods for mathematical programs with equilibrium constraints mounir haddou to cite this version. Applications, theory and algorithms 6th world congress on global optimization wcgo 2019 july 8 10, 2019, metz, france. Mounir haddou this paper is devoted to the mathematical study of a routing problem in telecommunication networks, when the cost function is the average delay of communications. Haddou mapmoumr 6628 universit e dorl eans bp 6759 45067 orl eans cedex 2 maitine. Optimization online how to compute a mstationary point. Mounir haddou, tangi migot, j er emy omer to cite this version. Fast linear algebra for multiarc trajectory optimization. Fulgence nahayo1, mounir haddou2, salah khardi3, mahmoud hamadiche4 and jean ndimubandi5 abstract. A smoothing method for sparse optimization over polyhedral sets mounir haddou, tangi migot to cite this version. This paper presents some methods for solving in a fast and reliable way the linear systems arising when solving an optimal control problem by a rungekutta discretization scheme, combined with an interiorpoint algorithm. Smoothing methods for nonlinear complementarity problems mounir haddou, patrick maheux to cite this version. Scale nonlinear optimization held in erice, italy, at the g.
Mounir ait haddou consulting director sopra steria. Jai connu mr bui duc quang ho chi minh ville lorsque jai donn. University, marrakech and the group of optimization department of computer science, university of sherbrooke canada, in partnership with the national higher school of. Solving mathematical programs with complementarity constraints. In this paper, we propose a parallel decomposition algorithm for solving a class of convex optimization problems, which is broad enough to contain ordinary convex programming problems with a strongly convex objective function. Fulgence nahayo, mounir haddou, salah khardi, mahmoud.
We propose a new family of relaxation schemes for mathematical program with complementarity constraints that extends the relaxations of. The objective of this paper is to develop a model and a minimization method to provide flight path optimums reducing aircraft noise in the vicinity of airports. A regularization method for illposed bilevel optimization problems m. A new relaxation method for a discrete image restoration. We prove that this new method possesses the best known upper bound complexity for these methods. An interiorpoint approach to trajectory optimization nicolas b erend, j. We consider a relaxation technique using a family of smooth concave. Pacific journal of optimization, yokohama publishers, 2009, 5 1, pp.
On the refinement of discretization for optimal control. Further, we aim to bring out special issue of some leading sci journal on optimization as a volume of contribution. A parallel descent algorithm for convex programming. Haddou december 9, 2008 abstract the method we present in this paper has been motivated by a restoration problem.
Optimization algorithm has solved a complex optimal control problem, and generates flight paths. The indirect approach eliminates control variables using pontryagins maximum principle, and solves the resulting twopoints boundary value problem. An interiorpoint approach to trajectory optimization. Optimization of operational aircraft parameters reducing noise. Je tiens a remercier les professeurs samir adly, mounir haddou et olivier. A new class of smoothing methods for mathematical programs with equilibrium constraints. In this paper, we present a new interior point method with full newton step for monotone linear complementarity problems. Mounir haddou view email via ccsd proxy v1 tue, mar 2007. Pdf we consider a wide class of penalty and barrier methods for convex programming which includes. In this paper, we investigate a class of heuristics schemes to solve the nphard problem of minimizing over a polyhedral set. Frederic bonnans, julien laurentvarin, mounir haddou, christophe talbot.
The algorithm is a variant of the trust region method applied to the fenchel dual of the given problem. A smoothing method for sparse optimization over polyhedral. We present a regularization method to approach a solution of the pessimistic formulation of ill posed bilevel problems. Pdf fast linear algebra for multiarc trajectory optimization.
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