Group for Research in Decision Analysis

Publications

Charles Audet

Articles

Tuning Runge-Kutta parameters on a family of ordinary differential equations
International Journal of Mathematical Modelling and Numerical Optimisation, 2017 BibTeX reference
Replacement scheduling of a fleet of hydroelectric generators: A case study
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International Journal of Performability Engineering, 10(6), 615–630, 2014 BibTeX reference
On proper refinement of bimatrix games extreme Nash equilibria
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Automatica, 2(48), 297–303, 2012 BibTeX reference
Construction of sparse signal representations with adaptive multiscale orthogonal bases
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Signal Processing, 92(6), 1446–1457, 2012 BibTeX reference
Calculating optimal conditions for alloy and process design using thermodynamic and property databases, the FactSage software and the Mesh Adaptive Direct Search algorithm
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CALPHAD: Computer Coupling of Phase Diagrams and Thermochemistry, 36, 135–143, 2012 BibTeX reference
The small hexagon and heptagon with maximum sum of distances between vertices
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Journal of Global Optimization, 49(3), 467–480, 2011 BibTeX reference
A short proof on the cardinality of maximal positive bases
Optimization Letters, 5(1), 191–194, 2011 BibTeX reference
Calculating all local minima on liquidus surfaces using the factsage software and databases and the mesh adaptive direct search algorithm
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The Journal of Chemical Thermodynamics, 43(9), 1323–1330, 2011 BibTeX reference
A note on diameters of point sets
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Optimization Letters, 4(4), 485–495, 2010 BibTeX reference
A method for stochastic constrained optimization using derivative-free surrogate pattern search and collocation
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Journal of Computational Physics, 229(12), 4664–4682, 2010 BibTeX reference
A mesh adaptive direct search algorithm for multiobjective optimization
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European Journal of Operational Research, 204(3), 545–556, 2010 BibTeX reference
Globalization strategies for mesh adaptive direct search
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Computational Optimization and Applications, 46(2), 193–215, 2010 BibTeX reference
OrthoMADS: A deterministic MADS instance with orthogonal directions
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SIAM Journal on Optimization, 20(2), 948–966, 2009 BibTeX reference
A new sequence form approach for the enumeration of all extreme nash equilibria for extensive form games
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International Game Theory Review, 11(4), 437–451, 2009 BibTeX reference
A progressive barrier for derivative-free nonlinear programming
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SIAM Journal on Optimization, 20(1), 445–472, 2009 BibTeX reference
Isoperimetric polygons of maximum width
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Discrete and Computational Geometry, 41(1), 45–60, 2009 BibTeX reference
Mesh adaptive direct search algorithms for mixed variable optimization
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Optimization Letters, 3(1), 35–47, 2009 BibTeX reference
Ranking small regular polygons by area and by perimeter
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Journal of Applied and Industrial Mathematics, 3(1), 21–27, 2009 BibTeX reference
Simple polygons of maximum perimeter contained in a disk of radius one
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Discrete and Computational Geometry, 41(2), 208–215, 2009 BibTeX reference
Ranking small regular polygons by area and by perimeter
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Diskretnyi Analiz i Issledovanie Operatsii, 15(3), 65–73, 2008 BibTeX reference
Erratum: Mesh adaptive direct search algorithms for constrained optimization
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SIAM Journal on Optimization, 18(4), 1501–1503, 2008 BibTeX reference
Comparison of derivative-free optimization methods for groundwater supply and hydraulic capture community problems
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Advances in Water Resources, 31(2), 743–757, 2008 BibTeX reference
Multiobjective optimization through a series of singleobjective formulations
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SIAM Journal on Optimization, 19(1), 188–210, 2008 BibTeX reference
Nonsmooth optimization through mesh adaptive direct search and variable neighborhood search
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Journal of Global Optimization, 41(2), 299–318, 2008 BibTeX reference
Parallel space decomposition of the mesh adaptive direct search algorithm
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SIAM Journal on Optimization, 19(3), 1150–1170, 2008 BibTeX reference
New branch-and-cut algorithm for bilevel linear programming
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Journal of Optimization Theory and Applications, 134(2), 353–370, 2007 BibTeX reference
Filter pattern search algorithms for mixed variable constrained optimization problems
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Pacific Journal on Optimization, 3(3), 477–500, 2007 BibTeX reference
Spent potliner treatment process optimization using a MADS algorithm
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Optimization and Engineering, 9(2), 143–160, 2007 BibTeX reference
The small octagon with longest perimeter
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Journal of Combinatorial Theory, 114(1), 135–150, 2007 BibTeX reference
Extremal problems for convex polygons
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Journal of Global Optimization, 38(2), 163–179, 2007 BibTeX reference
Disjunctive cuts for continuous linear bilevel programming
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Journal of Global Optimization, 1(3), 259–267, 2007 BibTeX reference
Mesh adaptive direct search algorithms for constrained optimization
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SIAM Journal on Optimization, 17(1), 188–217, 2006 BibTeX reference
Finding optimal algorithmic parameters using the mesh adaptive direct search algorithm
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SIAM Journal on Optimization, 17(3), 642–664, 2006 BibTeX reference
A note on the definition of a linear bilevel programming solution
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Applied Mathematics and Computation, 181(1), 351–355, 2006 BibTeX reference
Nonlinear programming by mesh adaptive direct searches
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SIAG/Optimization Views-and-News, 17(1), 2–11, 2006 BibTeX reference
Convergence of mesh adaptive direct search to second-order stationary points
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SIAM Journal on Optimization, 17(2), 606–619, 2006 BibTeX reference
Enumeration of all extreme equilibria in game theory: Bimatrix and polymatrix games
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Journal of Optimization Theory and Applications, 129(3), 349–372, 2006 BibTeX reference
An exact method for fractional goal programming
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Journal of Global Optimization, 29(1), 113–120, 2004 BibTeX reference
Generalized pattern searches with derivative information
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Mathematical Programming, 100(1), 3–25, 2004 BibTeX reference
Convergence results for pattern search algorithms are tight
Optimization and Engineering, 52(2), 101–122, 2004 BibTeX reference
The minimum diameter octagon with unit-length sides: Vincze's wife's octagon is suboptimal
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Journal of Combinatorial Theory, Serie A, 108(1), 63–75, 2004 BibTeX reference
A pattern search filter method for nonlinear-programming without derivatives
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SIAM Journal on Optimization, 14(4), 980–1010, 2004 BibTeX reference
Analysis of generalized pattern searches
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SIAM Journal on Optimization, 13(3), 889–903, 2003 BibTeX reference
Catalytic combustion kinetics - Using a direct search algorithm to evaluate kinetic-parameters from light-off curves
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Canadian Journal of Chemical Engineering, 81(6), 1192–1199, 2003 BibTeX reference
Optimisation des stratégies de maintenance
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Journal Européen des Systèmes Automatisés, 37(5), 587–605, 2003 BibTeX reference

Books

Book chapters

A new multi-objective approach for the portfolio selection problem with skewness
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C.F. Lee, Advances in Quantitative Analysis of Finance and Accounting, 9, Airiti Press, Taiwan, 317–355, 2011 BibTeX reference
Extremal problems for convex polygons - An update
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Pardalos P.M. & Coleman T.F., Lectures on Global Optimization, 55, 1–16, 2009 BibTeX reference
Exact solution of three nonconvex quadratic programming problems
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C.A. Floudas, P.M. Pardalos (eds.), Frontiers in Global Optimization, Series Nonconvex Optimization and its Applications, 74, Kluwer Academic Publication, 25–43, 2004 BibTeX reference

Proceedings