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Global minimization of constrained problems with discontinuous penalty functions

โœ Scribed by Quan Zheng; Liansheng Zhang

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
867 KB
Volume
37
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

With the integral approach to global optimization, a class of discontinuous penalty functions is proposed to solve constrained minimization problems. Optimality conditions of a penalized minimization problem are generalized to a discontinuous case; necessary and sufficient conditions for an exact penalty function are examined; a nonsequential algorithm is proposed. Numerical examples are given to illustrate the effectiveness of the algorithm.

๐Ÿ“œ SIMILAR VOLUMES

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The use of negative penalty functions in constrained variational problems
โœ Ilanko, Sinniah ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 83 KB

## Abstract A major drawback of the penalty function method in solving constrained variational problems is the difficulty in choosing suitable penalty parameters that are large enough to effect a constraint but small enough to avoid computational problems. This problem stems from the fact that the