Concepedia

An algorithmic framework for convex mixed integer nonlinear programs

Pierre Bonami, Lorenz T. Biegler, Andrew R. Conn, Gérard Cornuéjols, Ignacio E. Grossmann, Carl D. Laird, Jon Lee, Andrea Lodi, François Margot, Nicolas W. Sawaya,

Discrete Optimization · 2007 · 885 citations · 28 references

Open access

Concepts

Natural SciencesComputer ScienceMathematicsAlgorithmsOptimizationConstrained OptimizationConvex AnalysisConvex OptimizationMathematical ProgrammingNonlinear ProgrammingOptimization TheoryInteger Nonlinear ProgrammingMixed-integer Convex OptimizationMixed-integer Nonlinear ProgrammingMixed-integer OptimizationMixed-integer Programming

References

28

On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming

Andreas Wächter, Lorenz T. Biegler · Mathematical Programming · 2005 · 9.4K citations

Natural Sciences, Computer Science, Algorithms +9

Benchmarking optimization software with performance profiles

Elizabeth D. Dolan, Jorge J. Morè · Mathematical Programming · 2002 · 4.4K citations

Computing, Computer Science, Computer Systems +11

Generalized Benders decomposition

Arthur M. Geoffrion · Journal of Optimization Theory and Applications · 1972 · 2.5K citations

An outer-approximation algorithm for a class of mixed-integer nonlinear programs

Marco A. Durán, Ignacio E. Grossmann · Mathematical Programming · 1986 · 1.4K citations

Natural Sciences, Computer Science, Mathematics +13

A Branch-and-Cut Algorithm for the Resolution of Large-Scale Symmetric Traveling Salesman Problems

Manfred Padberg, Giovanni Rinaldi · SIAM Review · 1991 · 1.1K citations

Computing, Computer Science, Algorithms +16