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- W935414589 abstract "We present a unified approach to a class of nonconvex global optimization problems with composite monotonic constraints. (By composite monotonic function is meant a function which is the composition of a monotonic function on ℝn with a mapping from ℝn → ℝm with m ≤ n.) This class includes problems with constraints involving products of linear functions, sums of ratio functions, etc., and also problems of constrained optimization over efficient/weakly efficient points. The approach is based on transforming the problem into a monotonic optimization problem in the space ℝp, which can then be efficiently solved by recently developed techniques. Nontrivial numerical examples are presented to illustrate the practicability of the approach." @default.
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- W935414589 date "2006-06-21" @default.
- W935414589 modified "2023-09-23" @default.
- W935414589 title "Optimization under Composite Monotonic Constraints and Constrained Optimization over the Efficient Set" @default.
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- W935414589 doi "https://doi.org/10.1007/0-387-30528-9_1" @default.
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